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1. Determine the number of original shares:
Original Ordinary Shares = $400,000 / $0.50 = 800,000 shares.

2. Calculate the rights issue details:
Rights issue shares = 800,000 / 4 = 200,000 shares.
Rights issue nominal value = 200,000 * $0.50 = $100,000.
Share premium per share = $0.80 - $0.50 = $0.30.
Total premium on rights issue = 200,000 * $0.30 = $60,000.
New Share Premium balance = $150,000 + $60,000 = $210,000.
New total shares in issue = 800,000 + 200,000 = 1,000,000 shares.

3. Calculate the bonus issue details:
Bonus issue shares = 1,000,000 / 5 = 200,000 shares.
Nominal value of bonus shares = 200,000 * $0.50 = $100,000.
To fund the bonus issue, the company uses the share premium first (to keep retained earnings intact).
Decrease in Share Premium = $100,000.

4. Calculate final Share Premium balance:
Final Share Premium balance = $210,000 - $100,000 = $110,000.

1 mark for the correct final share premium balance of $110,000.
Award 0 marks for incorrect calculations (such as failing to adjust for nominal value of $0.50 or misallocating the bonus issue cost).

1. Calculate contribution per unit:
- Product X = $45 - $27 = $18
- Product Y = $50 - $26 = $24
- Product Z = $60 - $38 = $22

2. Calculate contribution per machine hour:
- Product X = $18 / 1.2 hours = $15.00 per hour
- Product Y = $24 / 2.0 hours = $12.00 per hour
- Product Z = $22 / 2.5 hours = $8.80 per hour

3. Determine priority rankings:
- 1st Priority: Product X ($15.00/hr)
- 2nd Priority: Product Y ($12.00/hr)
- 3rd Priority: Product Z ($8.80/hr)

4. Allocate the 4,000 available hours:
- Complete demand for Product X: 1,000 units * 1.2 hours = 1,200 hours. (Remaining hours: 4,000 - 1,200 = 2,800 hours)
- Complete demand for Product Y: 1,000 units * 2.0 hours = 2,000 hours. (Remaining hours: 2,800 - 2,000 = 800 hours)
- Produce Product Z with remaining 800 hours: 800 hours / 2.5 hours per unit = 320 units.

Therefore, the optimum production schedule is X: 1,000 units, Y: 1,000 units, Z: 320 units.

1 mark for the correct selection of option A. Ensure ranking is done on the basis of contribution per limiting factor (machine hours), not total contribution per unit.

1. Calculate premium on redemption:
Nominal value of preference shares = $100,000
Redemption premium = 10% * $100,000 = $10,000 (charged to retained earnings).

2. Calculate the transfer to the Capital Redemption Reserve (CRR):
CRR = Nominal value of shares redeemed - Nominal value of fresh issue of shares
CRR = $100,000 - $60,000 = $40,000.
This CRR of $40,000 must be funded out of distributable profits (retained earnings).

3. Calculate the total decrease in retained earnings:
Decrease = Premium on redemption + CRR transfer
Decrease = $10,000 + $40,000 = $50,000.

1 mark for the correct decrease of $50,000. Deducting the premium on redemption ($10,000) and the necessary transfer to the CRR ($40,000) results in a total drop of $50,000 in retained earnings.

1. Calculate the life membership fund balance before the annual transfer:
Opening balance = $12,000
New life membership fees received during the year = 5 * $1,200 = $6,000
Total fund balance before transfer = $12,000 + $6,000 = $18,000

2. Calculate the transfer to the income and expenditure account:
Transfer = 10% of $18,000 = $1,800.

1 mark for the correct option C. Note that the transfer is calculated based on the year-end balance after incorporating new fees ($18,000).

1. Calculate Earnings Per Share (EPS):
EPS = Profit after tax / Number of shares = $240,000 / 800,000 = $0.30 per share.

2. Calculate Price-Earnings (P/E) Ratio:
P/E Ratio = Market price per share / EPS = $1.80 / $0.30 = 6.0 times.

3. Calculate Dividend Per Share (DPS):
DPS = Total ordinary dividend paid / Number of shares = $96,000 / 800,000 = $0.12 per share.

4. Calculate Dividend Yield:
Dividend Yield = DPS / Market price per share = $0.12 / $1.80 = 6.67%.

1 mark for the correct combination of P/E ratio (6.0 times) and Dividend yield (6.67%).

1. Calculate standard hours for actual production:
Standard hours = 2,500 units * 3 hours/unit = 7,500 hours.

2. Calculate actual hourly rate paid:
Actual rate = $95,700 / 8,250 hours = $11.60 per hour.

3. Calculate Direct Labour Rate Variance:
Rate Variance = (Standard Rate - Actual Rate) * Actual Hours
= ($12.00 - $11.60) * 8,250 = $3,300 Favourable (F) (since the actual rate paid is lower than standard).

4. Calculate Direct Labour Efficiency Variance:
Efficiency Variance = (Standard Hours - Actual Hours) * Standard Rate
= (7,500 - 8,250) * $12 = 750 hours (Excess) * $12 = $9,000 Adverse (A) (since more hours were used than the standard allowed).

1 mark for the correct identification of both variances. Rate variance = $3,300 F; Efficiency variance = $9,000 A.

1. Calculate total depreciation over 5 years:
Total depreciation = Cost - Residual value = $160,000 - $20,000 = $140,000.

2. Calculate total accounting profit over 5 years:
Total profit = Total cash inflows - Total depreciation = $220,000 - $140,000 = $80,000.

3. Calculate average annual profit:
Average annual profit = $80,000 / 5 years = $16,000.

4. Calculate average investment:
Average investment = (Cost + Residual value) / 2 = ($160,000 + $20,000) / 2 = $90,000.

5. Calculate Accounting Rate of Return (ARR):
ARR = (Average annual profit / Average investment) * 100% = ($16,000 / $90,000) * 100% = 17.78%.

1 mark for the correct answer of 17.78%. Distractors arise from using initial investment instead of average (10%), failing to subtract depreciation (48.89%), or calculating average investment incorrectly without residual value (20%).

1. Calculate Average Inventory:
Average Inventory = (Opening inventory + Closing inventory) / 2 = ($35,000 + $45,000) / 2 = $40,000.

2. Calculate Inventory Turnover (times):
Inventory Turnover = Cost of sales / Average inventory = $240,000 / $40,000 = 6.0 times.

3. Calculate Trade Receivables Turnover (days):
Trade Receivables Turnover = (Trade receivables / Credit Revenue) * 365 days = ($30,000 / $365,000) * 365 = 30 days.

1 mark for the correct option A. Ensure inventory turnover is calculated using Cost of Sales (not Revenue), and receivables turnover is based on Revenue (not Cost of Sales).

1. Nominal value of shares redeemed: \( 50,000 \times \$1.00 = \$50,000 \).
2. Premium on redemption: \( 50,000 \times \$0.20 = \$10,000 \) (this must be written off from retained earnings).
3. Nominal value of new preference shares issued: \( 30,000 \times \$1.00 = \$30,000 \).
4. Capital Redemption Reserve (CRR) transfer required: Nominal value of shares redeemed minus nominal value of new issue = \( \$50,000 - \$30,000 = \$20,000 \). This transfer is made from retained earnings.
5. Total reduction in retained earnings = Premium on redemption + CRR transfer = \( \$10,000 + \$20,000 = \$30,000 \).

1 mark for the correct option C. Method marks: Calculate CRR transfer of \( \$20,000 \) and premium on redemption of \( \$10,000 \), then add both together.

To maximise profit when resources are limited, products must be ranked by contribution per unit of the limiting factor (raw materials):
- Product X: Contribution = \( \$35 - \$17 = \$18 \). Contribution per kg = \( \$18 / 3 \text{ kg} = \$6.00 \).
- Product Y: Contribution = \( \$48 - \$24 = \$24 \). Contribution per kg = \( \$24 / 5 \text{ kg} = \$4.80 \).
- Product Z: Contribution = \( \$52 - \$32 = \$20 \). Contribution per kg = \( \$20 / 4 \text{ kg} = \$5.00 \).
Ranking from highest to lowest contribution per kg: X (\( \$6.00 \)), Z (\( \$5.00 \)), Y (\( \$4.80 \)).

1 mark for the correct option B. Method: Determine the contribution per unit for each product, divide by the kilograms of material used, and rank in descending order.

We can reconstruct the Subscriptions Account:
Debit side:
- Balance b/d (Opening Arrears): \( \$800 \)
- Income and Expenditure (balancing figure): \( \$15,900 \)
- Balance c/d (Closing Advance): \( \$200 \)
Total Debit = \( \$16,900 \)

Credit side:
- Balance b/d (Opening Advance): \( \$400 \)
- Receipts and Payments (Cash received): \( \$15,600 \)
- Irrecoverable subscriptions written off: \( \$300 \)
- Balance c/d (Closing Arrears): \( \$600 \)
Total Credit = \( \$16,900 \)

Balancing figure for Income and Expenditure = \( \$16,900 - \$1,000 = \$15,900 \).

1 mark for the correct option C. Method: Adjust the cash receipts for opening and closing accruals and prepayments, and account for the written-off subscriptions correctly in the ledger account.

1. Determine earnings available to ordinary shareholders: \( \text{Profit after tax} - \text{Preference dividends} = \$180,000 - \$30,000 = \$150,000 \).
2. Calculate Earnings Per Share (EPS): \( \$150,000 / 500,000 \text{ shares} = \$0.30 \text{ per share} \).
3. Calculate Price/Earnings (P/E) ratio: \( \text{Market price per share} / \text{EPS} = \$3.60 / \$0.30 = 12.0 \text{ times} \).

1 mark for the correct option B. Method: Subtract preference dividends from profit after tax to find ordinary earnings, compute EPS, and divide the market price by EPS.

1. Labor Rate Variance = \( (\text{Standard Rate} - \text{Actual Rate}) \times \text{Actual Hours} \)
- Standard Rate (SR) = \( \$12.00 \)
- Actual Rate (AR) = \( \$147,200 / 12,800 \text{ hours} = \$11.50 \)
- Labor Rate Variance = \( (\$12.00 - \$11.50) \times 12,800 = \$6,400 \text{ Favourable} \).

2. Labor Efficiency Variance = \( (\text{Standard Hours} - \text{Actual Hours}) \times \text{Standard Rate} \)
- Standard Hours (SH) for actual production = \( 4,000 \text{ units} \times 3 \text{ hours} = 12,000 \text{ hours} \)
- Actual Hours (AH) = 12,800 hours
- Labor Efficiency Variance = \( (12,000 - 12,800) \times \$12.00 = 800 \times \$12.00 = \$9,600 \text{ Adverse} \).

1 mark for the correct option A. Method: Compare actual cost to standard cost of hours worked for rate variance, and actual hours to standard hours allowed for efficiency variance.

1. Calculate total depreciation over the project life: \( \text{Initial outlay} - \text{Residual value} = \$160,000 - \$40,000 = \$120,000 \).
2. Calculate total accounting profit after depreciation: \( \text{Total profit before depreciation} - \text{Total depreciation} = \$240,000 - \$120,000 = \$120,000 \).
3. Calculate average annual accounting profit: \( \$120,000 / 5 \text{ years} = \$24,000 \).
4. Calculate average investment: \( (\text{Initial outlay} + \text{Residual value}) / 2 = (\$160,000 + \$40,000) / 2 = \$100,000 \).
5. Calculate ARR: \( (\text{Average annual profit} / \text{Average investment}) \times 100 = (\$24,000 / \$100,000) \times 100 = 24\% \).

1 mark for the correct option B. Method: Determine average annual net profit after straight-line depreciation, calculate average investment, and compute the percentage ratio.

1. Number of existing ordinary shares: \( \$300,000 / \$0.50 = 600,000 \text{ shares} \).
2. Bonus shares to be issued: \( 600,000 / 3 = 200,000 \text{ shares} \).
3. Nominal value of bonus shares: \( 200,000 \times \$0.50 = \$100,000 \).
4. To maintain maximum flexibility (keeping maximum distributable reserves), the company uses non-distributable reserves (Share Premium) first: Use \( \$80,000 \) from Share Premium (reducing its balance to \( \$0 \)).
5. Use the remaining \( \$20,000 \) from Retained Earnings (reducing its balance to \( \$140,000 - \$20,000 = \$120,000 \)).

1 mark for the correct option A. Method: Calculate the nominal value of the bonus issue, utilize the share premium reserve completely first, and subtract the remaining required amount from retained earnings.

Real-time processing updates master files and ledger records instantly as each transaction occurs. This ensures that financial reports, customer account balances, and inventory levels are always completely up to date. In contrast, batch processing groups transactions to be processed together at a scheduled later time (e.g., overnight).

1 mark for the correct option B. Analysis of theory: Identify the primary benefit of real-time processing (immediate balance updates) over batch processing (delayed periodic updates).

1. **Initial state**: 200,000 shares of $0.50 each. Share premium = $60,000.
2. **Bonus issue**: 1-for-4 bonus issue means \(200,000 \times \frac{1}{4} = 50,000\) shares are issued. These must be issued at nominal value, so the share premium is reduced by \(50,000 \times \$0.50 = \$25,000\). The new share premium balance is \(\$60,000 - \$25,000 = \$35,000\). The total number of ordinary shares in issue becomes 250,000.
3. **Rights issue**: 1-for-5 rights issue on 250,000 shares means \(250,000 \times \frac{1}{5} = 50,000\) shares are issued at $0.90 each. The premium per share is \(\$0.90 - \$0.50 = \$0.40\). The share premium account increases by \(50,000 \times \$0.40 = \$20,000\).
4. **Final balance**: \(\$35,000 + \$20,000 = \$55,000\).

1 mark for the correct final share premium balance of $55,000 (Option C). Deducting bonus issue at nominal value ($25,000) and adding rights issue premium of $20,000 based on the updated share count of 250,000.

1. **Determine the new contribution per unit**: New selling price - Variable cost = \(\$54 - \$30 = \$24\) per unit.
2. **Determine the new total fixed costs**: Original fixed costs + Advertising cost = \(\$200,000 + \$40,000 = \$240,000\).
3. **Calculate target sales volume**: \(\frac{\text{New Fixed Costs} + \text{Target Profit}}{\text{New Contribution per Unit}} = \frac{\$240,000 + \$120,000}{\$24} = \frac{\$360,000}{\$24} = 15,000\) units.

1 mark for the correct volume of 15,000 units (Option B). Correct application of the marginal costing target profit formula incorporating the updated fixed costs and updated contribution.

- **Statement 1** is incorrect because debentures are a non-current liability and do not affect equity.
- **Statement 2** is correct because a bonus issue represents a movement between equity components (reducing share premium/retained earnings and increasing share capital).
- **Statement 3** is incorrect because under IAS 10, proposed dividends are not recognized as a liability or deducted from equity until they are approved.
- **Statement 4** is correct because transfers between the revaluation reserve and retained earnings are movements within equity and are presented in the Statement of Changes in Equity.

Thus, only statements 2 and 4 are correct.

1 mark for selecting Option B. Requires the understanding of what constitutes a movement in equity under IAS 1 and IAS 10.

1. **Calculate Revenue**: Receipts + Ending Receivables - Opening Receivables = \(\$45,000 + \$1,100 - \$800 = \$45,300\).
2. **Calculate Purchases**: Payments + Ending Payables - Opening Payables = \(\$28,000 + \$1,900 - \$2,400 = \$27,500\).
3. **Calculate Cost of Sales**: Opening Inventory + Purchases - Ending Inventory = \(\$3,200 + \$27,500 - \$4,100 = \$26,600\).
4. **Calculate Shop Profit**: Revenue - Cost of Sales = \(\$45,300 - \$26,600 = \$18,700\) profit.

1 mark for the correct profit of $18,700 (Option D). Correctly adjusting receipts and payments for opening/closing receivables and payables, and computing cost of sales.

1. **Calculate the number of ordinary shares**: \(\frac{\$200,000 \text{ share capital}}{\$0.50 \text{ nominal value}} = 400,000\) shares.
2. **Calculate Earnings per share (EPS)**: \(\frac{\$60,000 \text{ profit for the year}}{400,000 \text{ shares}} = \$0.15\) per share.
3. **Calculate Price-Earnings (P/E) ratio**: \(\frac{\text{Market price per share}}{\text{EPS}} = \frac{\$2.40}{\$0.15} = 16\).

1 mark for the correct P/E ratio of 16 (Option C). Requires calculation of the total share count from the nominal value, calculation of EPS, and dividing the market price by EPS.

1. **Standard hours per unit**: \(\frac{4,000 \text{ hours}}{2,000 \text{ units}} = 2\) hours per unit.
2. **Standard hours allowed for actual production**: \(2,100 \text{ units} \times 2 \text{ hours} = 4,200\) hours.
3. **Labour Efficiency Variance**: \((\text{Standard Hours} - \text{Actual Hours}) \times \text{Standard Rate} = (4,200 - 4,300) \times \$12 = -100 \times \$12 = \$1,200\) Adverse (A).
4. **Labour Rate Variance**: \((\text{Actual Hours} \times \text{Standard Rate}) - \text{Actual Cost} = (4,300 \times \$12) - \$50,740 = \$51,600 - \$50,740 = \$860\) Favourable (F).

1 mark for Option A. Standard hours must be flexed to the actual output of 2,100 units to find the correct efficiency variance, and actual hours must be used to calculate the rate variance.

1. **Calculate total cash inflows**: \(\$35,000 + \$45,000 + \$40,000 + \$30,000 = \$150,000\).
2. **Calculate total depreciation**: \(\$100,000\) (since residual value is zero).
3. **Calculate total accounting profit**: \(\$150,000 - \$100,000 = \$50,000\).
4. **Calculate average annual profit**: \(\frac{\$50,000}{4 \text{ years}} = \$12,500\).
5. **Calculate average investment**: \(\frac{\text{Initial investment} + \text{Scrap value}}{2} = \frac{\$100,000 + \$0}{2} = \$50,000\).
6. **Calculate ARR**: \(\frac{\$12,500}{\$50,000} \times 100\% = 25\%\).

1 mark for the correct ARR of 25% (Option B). Marks are awarded for correctly converting cash flows to accounting profit and dividing the average annual profit by the average investment.

1. **Determine the target average inventory**: \(\frac{\text{Cost of Sales}}{\text{Target Inventory Turnover}} = \frac{\$208,000}{10} = \$20,800\).
2. **Use the average inventory formula**: \(\text{Average Inventory} = \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2}\).
3. **Substitute known values**: \(\$20,800 = \frac{\$28,000 + \text{Closing Inventory}}{2}\).
4. **Solve for Closing Inventory**: \(\$41,600 = \$28,000 + \text{Closing Inventory} \Rightarrow \text{Closing Inventory} = \$13,600\).

1 mark for the correct closing inventory of $13,600 (Option A). Correctly identifies that 2023's closing inventory is 2024's opening inventory, calculates target average inventory of $20,800, and back-calculates closing inventory.

1. Calculate the number of rights shares issued: \(500,000 \times \frac{1}{4} = 125,000\) shares. 2. Calculate the increase in Ordinary Share Capital: \(125,000 \text{ shares} \times \$0.50 \text{ nominal value} = \$62,500\). 3. Calculate the new Ordinary Share Capital balance: \(\$250,000 + \$62,500 = \$312,500\). 4. Calculate the share premium per share: \(\$1.20 - \$0.50 = \$0.70\). 5. Calculate the increase in Share Premium: \(125,000 \text{ shares} \times \$0.70 = \$87,500\). 6. Calculate the new Share Premium balance: \(\$40,000 + \$87,500 = \$127,500\).

1 mark for the correct option. Method: Determine the number of new shares (125,000); apportion proceeds between nominal capital ($0.50) and premium ($0.70); add changes to the opening balances.

1. Calculate the new variable cost per unit: \(\$15 \times 1.20 = \$18\). 2. Calculate the new contribution per unit: \(\$25 - \$18 = \$7\). 3. Calculate the new fixed costs: \(\$80,000 + \$8,000 = \$88,000\). 4. Calculate the required contribution: \(\text{New Fixed Costs} + \text{Target Profit} = \$88,000 + \$38,000 = \$126,000\). 5. Calculate the required sales in units: \(\frac{\$126,000}{\$7} = 18,000\) units.

1 mark for the correct option. Method: Determine new unit contribution ($7) and total target contribution ($126,000); divide total contribution by unit contribution to find units.

Using a Subscription T-Account: Debits: Opening Arrears \(\$1,800\) + Income & Expenditure (balancing figure) + Closing Advance \(\$1,600\). Credits: Opening Advance \(\$2,500\) + Cash received \(\$42,400\) + Written off \(\$400\) + Closing Arrears \(\$2,100\). Total Credits = \(\$2,500 + \$42,400 + \$400 + \$2,100 = \$47,400\). Balancing figure to be transferred to Income & Expenditure Account = \(\$47,400 - \$1,800 - \$1,600 = \$44,000\).

1 mark for the correct option. Method: Add closing arrears and opening advances and written-off subscriptions to cash received; subtract opening arrears and closing advances.

1. Year 0 Cash Flow = \(-\$120,000 \text{ (Machine)} - \$15,000 \text{ (Working Capital)} = -\$135,000\). Present Value = \(-\$135,000\). 2. Year 1 Present Value = \(\$50,000 \times 0.909 = \$45,450\). 3. Year 2 Present Value = \(\$60,000 \times 0.826 = \$49,560\). 4. Year 3 Cash Flow = \(\$40,000 \text{ (Operating)} + \$20,000 \text{ (Scrap)} + \$15,000 \text{ (WC Recovery)} = \$75,000\). Present Value = \(\$75,000 \times 0.751 = \$56,325\). 5. NPV = \(-\$135,000 + \$45,450 + \$49,560 + \$56,325 = \$16,335\).

1 mark for the correct option. Method: Identify net cash flows for Years 0 to 3, accounting correctly for working capital investment and recovery and scrap value; discount using given factors; sum to get NPV.

1. Standard Quantity (SQ) for actual production = \(2,000 \text{ units} \times 4 \text{ kg} = 8,000 \text{ kg}\). 2. Material Usage Variance (MUV) = \((\text{SQ} - \text{AQ}) \times \text{SP}\). Since MUV is Favourable: \(\$1,200 = (8,000 - \text{AQ}) \times \$6.00 \implies 8,000 - \text{AQ} = 200 \text{ kg} \implies \text{AQ} = 7,800 \text{ kg}\). 3. Material Price Variance (MPV) = \((\text{SP} - \text{AP}) \times \text{AQ}\). Since MPV is Adverse, actual price is higher than standard: \(-\$780 = (\$6.00 - \text{AP}) \times 7,800 \implies \$6.00 - \text{AP} = -\$0.10 \implies \text{AP} = \$6.10\) per kg.

1 mark for the correct option. Method: Determine SQ (8,000 kg); set up MUV equation to solve for AQ (7,800 kg); set up MPV equation using AQ to solve for AP ($6.10).

1. Calculate new Profit from operations = \(\$150,000 + \$18,000 = \$168,000\). 2. Calculate new Capital Employed = Equity + Non-current liabilities = \(\$500,000 + \$250,000 + \$100,000 = \$850,000\). 3. Calculate new ROCE = \(\frac{\text{New Profit from operations}}{\text{New Capital Employed}} \times 100\% = \frac{\$168,000}{\$850,000} \times 100\% = 19.76\%\). Note: ROCE uses operating profit (before interest and tax).

1 mark for the correct option. Method: Add the new profit to EBIT; add the new loan to capital employed; calculate the ratio as operating profit divided by capital employed.

### (a) Revaluation Account

| **Details** | **$** | **Details** | **$** |
| :--- | :--- | :--- | :--- |
| Equipment ($35,000 - $31,000) | 4,000 | Premises ($145,000 - $120,000) | 25,000 |
| Provision for Doubtful Debts ($20,000 \times 5\%) | 1,000 | | |
| **Profit on Revaluation transferred to:** | | | |
| - A Capital Account (3/5) | 12,000 | | |
| - B Capital Account (2/5) | 8,000 | | |
| | **25,000** | | **25,000** |

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### (b) Partners' Capital Accounts

| **Details** | **A ($)** | **B ($)** | **C ($)** | **Details** | **A ($)** | **B ($)** | **C ($)** |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| Goodwill (New ratio) | 25,000 | 15,000 | 10,000 | Balance b/d | 100,000 | 60,000 | - |
| Balance c/d | 117,000 | 73,000 | 40,000 | Revaluation Profit | 12,000 | 8,000 | - |
| | | | | Goodwill (Old ratio) | 30,000 | 20,000 | - |
| | | | | Bank | - | - | 50,000 |
| | **142,000** | **88,000** | **50,000** | | **142,000** | **88,000** | **50,000** |

*Working for Goodwill:*
- Valuation = $50,000
- Credit old partners (3:2 ratio): A = $30,000; B = $20,000.
- Debit all partners (5:3:2 ratio): A = $25,000; B = $15,000; C = $10,000.

---

### (c) Partnership Appropriation Account for the year ended 31 December 2023

| **Details** | **$** | **$** |
| :--- | :--- | :--- |
| **Profit for the year** | | **41,500** |
| Less: Partner Salary (B) | | (6,000) |
| Less: Interest on Capital | | |
| - A ($117,000 \times 5\%) | 5,850 | |
| - B ($73,000 \times 5\%) | 3,650 | |
| - C ($40,000 \times 5\%) | 2,000 | (11,500) |
| **Residual Profit** | | **24,000** |
| **Share of Profit (5:3:2):** | | |
| - A (5/10) | 12,000 | |
| - B (3/10) | 7,200 | |
| - C (2/10) | 4,800 | **24,000** |

---

### (d) Advantages to A and B of admitting C:
1. **Additional Capital Contribution:** C introduces $50,000 cash, which improves the firm's liquidity and provides resources to fund business expansion or pay off obligations.
2. **Shared Management and Responsibilities:** A and B can delegate some operations or management duties to C, reducing their workload and allowing specialization.
3. **New Skills & Expertise:** C may bring different business experiences, expert contacts, or fresh ideas that enhance the productivity and competitiveness of the firm.

### (a) Revaluation Account [6 Marks]
- Debit Equipment: $4,000 [1 mark]
- Debit Provision for doubtful debts: $1,000 [1 mark]
- Credit Premises: $25,000 [2 marks]
- Revaluation profit split (A $12,000 / B $8,000): [2 marks (1 mark per partner)]

### (b) Partners' Capital Accounts [10 Marks]
- Opening balances b/d (A $100,000 & B $60,000): [1 mark for both]
- Revaluation profit transfer (A $12,000 & B $8,000): [2 marks (1 mark per partner)]
- Goodwill credited in old ratio (A $30,000 & B $20,000): [1 mark for both]
- Goodwill debited in new ratio (A $25,000 & B $15,000 & C $10,000): [3 marks (1 mark per partner)]
- Bank entry for C: $50,000 [1 mark]
- Balancing figures c/d (A $117,000 & B $73,000 & C $40,000): [2 marks (all three correct, otherwise 1 mark for any two correct)]

### (c) Partnership Appropriation Account [8 Marks]
- B's salary: $6,000 [1 mark]
- Interest on Capital:
- A: $5,850 [1 mark]
- B: $3,650 [1 mark]
- C: $2,000 [1 mark]
- Correct calculation of Residual Profit ($24,000): [1 mark]
- Share of profit split:
- A: $12,000 [1 mark]
- B: $7,200 [1 mark]
- C: $4,800 [1 mark]

### (d) Advantages [6 Marks]
- Max 3 advantages identified and explained [2 marks each].
- Award 1 mark for basic identification (e.g., 'more capital') and 1 mark for explaining its benefit to A & B (e.g., 'allows the firm to purchase new non-current assets or pay down debts without borrowing').

### (a) Subscriptions Account

| **Details** | **$** | **Details** | **$** |
| :--- | :--- | :--- | :--- |
| Balance b/d (Arrears) | 1,200 | Balance b/d (Advance) | 800 |
| Income & Expenditure (balancing figure) | 28,850 | Bank (Receipts) | 28,400 |
| Balance c/d (Advance) | 950 | Subscriptions written off | 300 |
| | | Balance c/d (Arrears) | 1,500 |
| | **31,000** | | **31,000** |

---

### (b) Refreshment Trading Account for the year ended 31 December 2023

| **Details** | **$** | **$** |
| :--- | :--- | :--- |
| **Refreshment Sales** | | **14,200** |
| **Less: Cost of Sales** | | |
| Opening Inventory | 1,450 | |
| Add: Purchases ($8,600 - $920 + $1,150) | 8,830 | |
| | 10,280 | |
| Less: Closing Inventory | (1,850) | (8,430) |
| **Gross Profit** | | **5,770** |
| Less: Refreshment Staff Wages ($2,800 - $250 + $310) | | (2,860) |
| **Profit on Refreshments** | | **2,910** |

---

### (c) Income and Expenditure Account for the year ended 31 December 2023

| **Details** | **$** | **$** |
| :--- | :--- | :--- |
| **Income:** | | |
| Subscriptions | | 28,850 |
| Profit on Refreshments | | 2,910 |
| Competition Profit ($3,100 entry fees - $1,800 prizes) | | 1,300 |
| Donation | | 5,000 |
| **Total Income** | | **38,060** |
| **Expenditure:** | | |
| Subscriptions written off | 300 | |
| Club general expenses | 11,400 | |
| Depreciation - Clubhouse ($220,000 \times 2\%) | 4,400 | |
| Depreciation - Equipment (($18,500 + $6,000) \times 20\%) | 4,900 | (21,000) |
| **Surplus of Income over Expenditure** | | **17,060** |

---

### (d) Difference between 'accumulated fund' and 'capital':
- **Capital:** Belongs to the owner(s) of a profit-making entity. It represents the initial investment and retained profits belonging to the proprietors, which they can withdraw in the form of drawings.
- **Accumulated Fund:** Used by non-profit entities (such as clubs and societies) instead of capital. It represents the collective accumulation of annual surpluses of income over expenditure over time, does not belong to any individual member, and cannot be withdrawn.

### (a) Subscriptions Account [8 Marks]
- Opening Balance Arrears (Dr) $1,200: [1 mark]
- Opening Balance Advance (Cr) $800: [1 mark]
- Bank (Cr) $28,400: [1 mark]
- Subscriptions written off (Cr) $300: [1 mark]
- Closing Balance Advance (Dr) $950: [1 mark]
- Closing Balance Arrears (Cr) $1,500: [1 mark]
- Transfer to Income & Expenditure (balancing figure) $28,850: [2 marks]

### (b) Refreshment Trading Account [6 Marks]
- Sales revenue ($14,200): [1 mark]
- Cost of sales purchases ($8,830): [1 mark]
- Correct cost of sales total ($8,430) and Gross Profit ($5,770): [1 mark]
- Refreshment wages adjustment ($2,860): [2 marks (1 method mark, 1 accuracy mark)]
- Final refreshment profit ($2,910): [1 mark]

### (c) Income and Expenditure Account [12 Marks]
- Subscriptions ($28,850): [1 mark (OFT from (a))]
- Refreshments profit ($2,910): [1 mark (OFT from (b))]
- Competition profit ($1,300): [2 marks (1 mark for entry fees less prizes calculation)]
- Donation ($5,000): [1 mark]
- Subscriptions written off ($300): [1 mark]
- Club general expenses ($11,400): [1 mark]
- Depreciation - Clubhouse ($4,400): [1 mark]
- Depreciation - Equipment ($4,900): [2 marks (1 method mark for including additions)]
- Surplus of Income over Expenditure ($17,060): [2 marks (1 method mark, 1 accuracy mark)]

### (d) Accumulated Fund vs Capital [4 Marks]
- Clear explanation of Capital (returns to owners, withdrawable): [2 marks]
- Clear explanation of Accumulated Fund (non-profit, represents accumulation of past surpluses, not owned by individual members): [2 marks]

### Part (a) Workings and Calculations:

**1. Gross profit margin (2023)**
$$\text{Formula: } \left( \frac{\text{Gross Profit}}{\text{Revenue}} \right) \times 100$$
$$\text{Calculation: } \left( \frac{\$100,000}{\$400,000} \right) \times 100 = 25.00\%$$

**2. Profit margin (2023)**
$$\text{Formula: } \left( \frac{\text{Profit for the year}}{\text{Revenue}} \right) \times 100$$
$$\text{Calculation: } \left( \frac{\$32,000}{\$400,000} \right) \times 100 = 8.00\%$$

**3. Liquid (acid test) ratio (2023)**
$$\text{Formula: } \frac{\text{Current Assets (excluding Inventory)}}{\text{Current Liabilities}}$$
* $$\text{Liquid Assets (Trade Receivables only, as bank is in overdraft): } \$48,000$$
* $$\text{Current Liabilities (Trade Payables } \$35,000 + \text{ Bank Overdraft } \$5,000\text{): } \$40,000$$
$$\text{Calculation: } \frac{\$48,000}{\$40,000} = 1.20 : 1$$
*(Note for comparison: 2022 liquid ratio was \(\frac{\$32,000 + \$10,000}{\$24,000} = 1.75 : 1\))*

---

### Part (b) Written Evaluation and Recommendations:

**Profitability Analysis:**
* The Gross Profit Margin deteriorated significantly from \(30\%\) in 2022 \((\frac{\$96,000}{\$320,000})\) to \(25\%\) in 2023. Even though revenue increased by \(25\%\) (from $320,000 to $400,000), the Cost of Sales increased at a much faster rate of \(33.9\%\) (from $224,000 to $300,000). This indicates a failure to pass rising supplier costs to customers or excessive promotional discounting.
* The Profit Margin decreased from \(15\%\) in 2022 \((\frac{\$48,000}{\$320,000})\) to \(8\%\) in 2023. Operating expenses increased by \(41.7\%\) (from $48,000 to $68,000), indicating a lack of expense control which further squeezed net profit.

**Liquidity Analysis:**
* Liquidity deteriorated sharply. The liquid (acid test) ratio decreased from \(1.75 : 1\) in 2022 to \(1.20 : 1\) in 2023.
* The bank position declined from a cash surplus of $10,000 to an overdraft of $5,000.
* This cash drain is caused by working capital blockages: inventory levels grew by \(50\%\) (from $28,000 to $42,000) and trade receivables grew by \(50\%\) (from $32,000 to $48,000), both outstripping the \(25\%\) sales growth. Cash is locked up in unsold inventory and unpaid customer accounts.

**Recommendations to Improve Liquidity (Any 3 points):**
1. **Tighten Credit Control:** Introduce structured credit screenings for new credit customers and set strict credit limits to prevent delayed receivables.
2. **Encourage Speedier Debtor Collection:** Offer cash discounts (e.g., 2% for payment within 10 days) to incentivize early payments from credit buyers.
3. **Optimize Inventory Management:** Implement a Just-In-Time (JIT) ordering model or set lower maximum inventory holding limits to release cash tied up in excess stock.
4. **Negotiate Supplier Credit Terms:** Try to negotiate longer credit payment terms with trade payables (without damaging commercial relationships) to keep cash in the bank longer.

**Part (a) [6 Marks Total]:**
* **Gross profit margin (2023):** 1 mark for formula or correct substitution; 1 mark for correct final answer of 25.00% (or 25%).
* **Profit margin (2023):** 1 mark for formula or correct substitution; 1 mark for correct final answer of 8.00% (or 8%).
* **Liquid ratio (2023):** 1 mark for correct identification of current liabilities including overdraft ($40,000) and liquid assets ($48,000); 1 mark for correct final ratio expression of 1.20 : 1 (or 1.2 : 1).

**Part (b) [9 Marks Total]:**
* **Profitability appraisal (max 3 marks):** 1 mark for identifying the drop in GP margin (with figures); 1 mark for identifying the drop in Profit margin (with figures); 1 mark for linking profit drop to disproportionate growth in operating expenses or cost of sales.
* **Liquidity appraisal (max 3 marks):** 1 mark for referencing the decline in the liquid ratio (from 1.75 to 1.20); 1 mark for explaining the deterioration of the bank balance (cash to overdraft); 1 mark for identifying that inventory/receivables grew faster than sales (overstocking/collection issues).
* **Recommendations (max 3 marks):** 1 mark per valid and distinct recommendation (e.g., cash discounts, tighter credit limits, inventory reduction, payables management) up to 3 marks.

### Part (a) Workings and Calculations:

**1. Payback Period**
* Cumulative Cash Flows:
* Year 1: $60,000
* Year 2: $60,000 + $80,000 = $140,000
* Year 3: $140,000 + $50,000 = $190,000 (Payback occurs in Year 3)
* Remaining amount to recover at the end of Year 2 = $180,000 - $140,000 = $40,000.
* Cash inflow in Year 3 = $50,000.
* Fraction of Year 3 = \(\frac{\$40,000}{\$50,000} = 0.8\text{ years}\).
* In months: \(0.8 \times 12\text{ months} = 9.6\text{ months}\).
* **Payback period = 2 years and 9.6 months (or 2.8 years)**

**2. Accounting Rate of Return (ARR)**
* $$\text{Total Cash Inflows} = \$60,000 + \$80,000 + \$50,000 + \$40,000 + \$20,000\text{ (scrap)} = \$250,000$$
* $$\text{Total Depreciation over 4 years} = \text{Cost } \$180,000 - \text{Residual Value } \$20,000 = \$160,000$$
* $$\text{Total Profit over 4 years} = \text{Total Cash Inflows } \$250,000 - \text{Initial Investment } \$180,000 = \$70,000$$
* $$\text{Average Annual Profit} = \frac{\$70,000}{4} = \$17,500$$
* $$\text{Average Investment} = \frac{\text{Initial Outlay} + \text{Residual Scrap Value}}{2} = \frac{\$180,000 + \$20,000}{2} = \$100,000$$
* $$\text{ARR} = \left( \frac{\text{Average Annual Profit}}{\text{Average Investment}} \right) \times 100 = \left( \frac{\$17,500}{\$100,000} \right) \times 100 = 17.50\%$$

**3. Net Present Value (NPV)**
*(Note: Year 4 cash flow includes the $40,000 operating cash inflow plus the $20,000 salvage cash inflow = $60,000)*
$$\begin{array}{cccr}
\text{Year} & \text{Cash Flow ($)} & \text{Discount Factor (10%)} & \text{Present Value ($)} \\
\hline
0 & (180,000) & 1.000 & (180,000) \\
1 & 60,000 & 0.909 & 54,540 \\
2 & 80,000 & 0.826 & 66,080 \\
3 & 50,000 & 0.751 & 37,550 \\
4 & 60,000 & 0.683 & 40,980 \\
\hline
\mathbf{\text{NPV}} & & & \mathbf{+19,150} \\
\hline
\end{array}$$

---

### Part (b) Written Appraisal and Recommendation:

**Quantitative Assessment:**
* **NPV is positive** at \(+\$19,150\). This means the project earns more than the required 10% rate of return and will increase shareholder wealth.
* **ARR of 17.50%** is higher than the cost of capital (10%) and represents a strong accounting rate of return on the capital invested.
* **Payback period is 2.8 years**, which is well within the 4-year useful life of the machinery. This reduces the risk exposure of the project.

**Qualitative Assessment:**
* **Forecast Reliability:** Cash inflows are estimates and might be overly optimistic. If actual revenue is lower, NPV could turn negative.
* **Technological Obsolescence:** If packaging technology changes rapidly, the machine might become obsolete before Year 4, reducing its planned salvage value of $20,000.
* **Operational Disruption:** Installation of the new machine may require downtime, impacting short-term production, and staff may need specialized training (adding extra costs not factored in).

**Conclusion & Recommendation:**
Haze plc should proceed with the project because all quantitative markers (positive NPV, solid ARR, and prompt payback) are highly favorable. However, directors should build in risk buffers for the cash forecasts and verify staff training costs before making the final commitment.

**Part (a) [8 Marks Total]:**
* **Payback period (2 marks):** 1 mark for calculating cumulative cash flows; 1 mark for correct calculation of 2 years and 9.6 months (or 2.8 years).
* **ARR (3 marks):** 1 mark for calculating average annual profit ($17,500); 1 mark for calculating average investment ($100,000); 1 mark for correct final ARR of 17.50%.
* **NPV (3 marks):** 1 mark for correct inclusion of Year 4 scrap cash flow (totaling $60,000); 1 mark for accurate application of discount factors; 1 mark for correct final NPV of +$19,150.

**Part (b) [7 Marks Total]:**
* **Quantitative factors (max 3 marks):** 1 mark for identifying positive NPV and explaining its meaning (wealth creation); 1 mark for evaluating ARR; 1 mark for evaluating the payback period in relation to the machine's life.
* **Qualitative factors (max 3 marks):** 1 mark per valid qualitative consideration discussed (e.g., estimation risk, employee training requirements, technological obsolescence risk, scrap value realization).
* **Recommendation (1 mark):** Clear, justified conclusion to accept the investment based on the evidence presented.

**Part (a)**

**Vanguard PLC**
**Property, Plant and Equipment Note for the year ended 30 June 2024**

| | Land & Buildings ($) | Plant & Machinery ($) |
| :--- | :---: | :---: |
| **Cost / Valuation** | | |
| At 1 July 2023 | 1,200,000 | 650,000 |
| Revaluation increase | 300,000 | - |
| Additions | - | 120,000 |
| Disposals | - | (80,000) |
| **At 30 June 2024** | **1,500,000** | **690,000** |
| | | |
| **Accumulated Depreciation** | | |
| At 1 July 2023 | 240,000 | 310,000 |
| Eliminated on revaluation | (240,000) | - |
| Charge for the year | 30,000 | 83,808 |
| Eliminated on disposal | - | (39,040) |
| **At 30 June 2024** | **30,000** | **354,768** |
| | | |
| **Net Book Value (Carrying Amount)** | | |
| **At 30 June 2024** | **1,470,000** | **335,232** |
| **At 30 June 2023** | **960,000** | **340,000** |

**Workings for Plant and Machinery Disposal Accumulated Depreciation:**
- Purchased 1 January 2021 for $80,000.
- Year ended 30 June 2021 depreciation: \( 20\% \times \$80,000 = \$16,000 \) (Carrying Value: \( \$64,000 \))
- Year ended 30 June 2022 depreciation: \( 20\% \times \$64,000 = \$12,800 \) (Carrying Value: \( \$51,200 \))
- Year ended 30 June 2023 depreciation: \( 20\% \times \$51,200 = \$10,240 \) (Carrying Value: \( \$40,960 \))
- Year ended 30 June 2024 (Disposal year): No depreciation charged.
- Total accumulated depreciation at disposal = \( \$16,000 + \$12,800 + \$10,240 = \$39,040 \).

**Workings for Plant and Machinery Depreciation Charge for the year:**
- Remaining old machinery cost = \( \$650,000 - \$80,000 = \$570,000 \)
- Remaining old machinery accumulated depreciation at 1 July 2023 = \( \$310,000 - \$39,040 = \$270,960 \)
- Remaining old machinery net book value = \( \$570,000 - \$270,960 = \$299,040 \)
- Depreciation on remaining old machinery: \( 20\% \times \$299,040 = \$59,808 \)
- Depreciation on new machinery (addition): \( 20\% \times \$120,000 = \$24,000 \) (full year charged)
- Total charge for the year = \( \$59,808 + \$24,000 = \$83,808 \).

**Workings for Land and Buildings Depreciation Charge for the year:**
- Valuation of Buildings = \( \$900,000 \)
- Remaining useful life = 30 years
- Charge for the year = \( \$900,000 / 30 = \$30,000 \).

***

**Part (b)**

1. **Legal Claim (IAS 37):**
- Under IAS 37, a provision is only recognized when there is a probable (more than 50% likely) outflow of resources.
- Since the probability of outflow is only 30% (less than 50%), it is classified as a "possible obligation" (a contingent liability).
- Therefore, Vanguard PLC must not recognize a provision in the financial statements. Instead, it must disclose a contingent liability in the notes, describing the nature of the claim and the estimated financial effect of $150,000.

2. **Warehouse Fire (IAS 10):**
- Under IAS 10, a fire occurring after the reporting period is a non-adjusting event because the conditions did not exist at the reporting date (30 June 2024).
- Vanguard PLC should not adjust the inventory balance or financial statements for the year ended 30 June 2024.
- However, since the loss of $45,000 is material and uninsured, it must be disclosed in the notes to the financial statements, detailing the nature of the event and an estimate of the financial effect.

***

**Part (c)**

**(i) Security Measures/Controls (Any three):**
1. **Role-Based Access Control (RBAC):** Restrict user privileges so employees only access data and modules directly necessary for their job functions (e.g., preventing a ledger clerk from altering system configurations or payroll settings).
2. **Multi-Factor Authentication (MFA):** Require multiple layers of verification (e.g., password and an authenticator app code) for any user attempting to log into the cloud system to mitigate external unauthorized access.
3. **Regular Automated Encrypted Backups:** Ensure data is automatically backed up to secure off-site servers daily and encrypted both at rest and in transit to protect against ransomware and data loss.
4. **Audit Trail Logs:** The system must automatically and indelibly log all transaction entries, edits, and deletions, indicating which user ID performed the operation and when.

**(ii) Operational Advantages of an Integrated ERP System (Any two):**
1. **Real-time Data Processing:** Transactions in operations (like sales or inventory) automatically and instantly update the general ledger without manual batches.
2. **Reduced Data Redundancy:** Single-point data entry eliminates manual transcription errors and duplicate records between departments.
3. **Improved Reporting and Analytics:** Centralized databases allow management to produce integrated, cross-departmental reports easily.

**Part (a) PPE Schedule [Total: 12 marks]**
- **Land & Buildings Cost/Valuation column:**
- Revaluation increase of $300,000 [1 mark]
- Closing balance of $1,500,000 [1 mark]
- **Land & Buildings Accumulated Depreciation column:**
- Elimination of opening depreciation of ($240,000) [1 mark]
- Charge for the year of $30,000 [1 mark (method & accuracy)]
- Closing balance of $30,000 [1 mark]
- **Plant & Machinery Cost column:**
- Addition of $120,000 and disposal of ($80,000) [1 mark for both correct]
- Closing balance of $690,000 [1 mark]
- **Plant & Machinery Accumulated Depreciation column:**
- Elimination of disposal accumulated depreciation of ($39,040) [2 marks (1 mark for working showing $16k + $12.8k + $10.24k; 1 mark for correct deduction)]
- Charge for the year of $83,808 [2 marks (1 mark for remaining old asset calculation of $59,808; 1 mark for addition calculation of $24,000)]
- Closing balance of $354,768 [1 mark]

**Part (b) IAS 37 and IAS 10 Treatments [Total: 5 marks]**
- **Legal Claim (IAS 37):**
- State that no provision is recognized because outflow is not probable / only 30% likely [1 mark]
- State that a contingent liability must be disclosed in the notes [1 mark]
- **Warehouse Fire (IAS 10):**
- State that the fire is a non-adjusting event as conditions did not exist at 30 June 2024 [1 mark]
- State that no adjustment is made to the figures [1 mark]
- State that disclosure in the notes is required because it is a material event [1 mark]

**Part (c) Systems implications [Total: 8 marks]**
- **(i) Security Measures:** [6 marks]
- 2 marks for each of the three valid measures described (1 mark for identification, 1 mark for explanation/application to cloud ERP environment).
- **(ii) Operational Advantages:** [2 marks]
- 1 mark for each of the two valid advantages stated (e.g., real-time updates, minimized duplication, unified reports).

### **Part (a) Subscriptions Account**

$$
\begin{array}{lr|lr}
\hline
\textbf{Debit} & \textbf{\$} & \textbf{Credit} & \textbf{\$}\\
\hline
\text{Balance b/d (Arrears)} & 550 & \text{Balance b/d (Advance)} & 300 \\
\text{Income \& Expenditure (bal. fig)} & 14,750 & \text{Bank} & 14,800 \\
\text{Balance c/d (Advance)} & 600 & \text{Irrecoverable Subscriptions (W/off)} & 100 \\
& & \text{Balance c/d (Arrears)} & 700 \\
\hline
\textbf{Total} & \mathbf{15,900} & \textbf{Total} & \mathbf{15,900} \\
\hline
\end{array}
$$

*Working for Subscriptions written off:*
$$\text{Total arrears b/d} = \$550$$
$$\text{Received for 2021} = \$400$$
$$\text{Arrears from 2021 remaining} = \$50$$
$$\text{Write-off} = \$550 - \$400 - \$50 = \$100$$

---

### **Part (b) Westlands Hockey Club - Income and Expenditure Account for the year ended 31 December 2022**

$$
\begin{array}{lrr}
\hline
& \mathbf{\$} & \mathbf{\$}\\
\hline
\textbf{Income} & & \\
\text{Subscriptions (annual)} & & 14,750 \\
\text{Life Membership transfer (W1)} & & 1,000 \\
\text{Bar Trading Profit (W2)} & & 5,050 \\
\hline
\textbf{Total Income} & & \mathbf{20,800} \\
\hline
\textbf{Expenditure} & & \\
\text{Rent (W3)} & 4,700 & \\
\text{General expenses (W4)} & 3,350 & \\
\text{Depreciation on equipment (W5)} & 3,225 & \\
\text{Subscriptions written off} & 100 & \\
\hline
\textbf{Total Expenditure} & & \mathbf{11,375} \\
\hline
\textbf{Surplus of Income over Expenditure} & & \mathbf{9,425} \\
\hline
\end{array}
$$

#### **Workings:**
* **W1: Life Membership Transfer**
$$\text{Opening Balance} = \$6,000$$
$$\text{New memberships} = 5 \times \$800 = \$4,000$$
$$\text{Total balance before transfer} = \$10,000$$
$$\text{Transfer to I\&E} = 10\% \times \$10,000 = \$1,000$$

* **W2: Bar Trading Account**
$$\text{Bar Sales} = \$12,500$$
$$\text{Less: Cost of Sales:}$$
$$\text{Opening Inventory} = \$1,400$$
$$\text{Add: Purchases} = \$7,200$$
$$\text{Less: Closing Inventory} = (\$1,150)$$
$$\text{Cost of Sales} = \$7,450$$
$$\text{Bar Profit} = \$12,500 - \$7,450 = \$5,050$$

* **W3: Rent Expense**
$$\text{Rent paid} = \$4,800$$
$$\text{Add: Opening Prepaid} = \$400$$
$$\text{Less: Closing Prepaid} = (\$500)$$
$$\text{Rent Expense} = \$4,700$$

* **W4: General Expenses**
$$\text{Paid} = \$3,100$$
$$\text{Add: Accrued at year-end} = \$250$$
$$\text{General Expenses} = \$3,350$$

* **W5: Depreciation on Equipment**
$$\text{Carrying value at start} = \$18,000$$
$$\text{Additions} = \$3,500$$
$$\text{Total base} = \$21,500$$
$$\text{Depreciation (15\% reducing balance)} = 15\% \times \$21,500 = \$3,225$$

---

### **Part (c) Internal Control Procedures**
1. **Segregation of duties**: Ensure that cash collections at the bar or social events are handled by individuals other than those responsible for recording transactions in the ledgers or depositing cash to the bank. This reduces collusion risk.
2. **Encourage digital/electronic payments**: Transition annual and life subscription payments to automatic bank transfers, standing orders, or online card portals. Minimize physical cash handling.
3. **Independent verification and regular reconciliations**: Implement regular (ideally daily or weekly) physical counts of bar stock and cash till reconciliations. Ensure bank reconciliation statements are prepared monthly by a committee member independent of the treasurer's cash functions.

---

### **Part (d) Independent External Audit Evaluation**
* **Arguments for appointing an auditor**:
* Increases credibility and transparency: This reassures the club members and any external lenders or grant providers that the accounts represent a true and fair view.
* Improves internal control environments: An audit identifies areas of control weaknesses and offers professional feedback via a management letter.
* **Arguments against appointing an auditor**:
* Cost constraint: Hiring a qualified independent auditor generates significant audit fees that could otherwise be spent on club amenities.
* Overkill for a small club: The scale of transactions is relatively small; a cheaper non-audit review or compilation engagement by a chartered accountant may suffice.
* **Conclusion**: While a full audit offers valuable assurance and control checkups, the cost may outweigh benefits. An independent examination or review is highly recommended instead as a cost-effective compromise.

**Part (a) [Total: 6 marks]**
* 1 mark: Correctly listing opening balances (both arrears $550 and advance $300 on correct sides).
* 1 mark: Correct bank receipt ($14,800 on Credit side).
* 1 mark: Correctly writing off irrecoverable subscriptions ($100 on Credit side).
* 1 mark: Correct closing balances (arrears $700 on Credit and advance $600 on Debit side).
* 2 marks: Correct balancing figure transferred to I&E account ($14,750) (1 mark for method, 1 mark for accuracy).

**Part (b) [Total: 10 marks]**
* 1 mark: Subscriptions income ($14,750) (or Own Figure [OF] from part a).
* 2 marks: Life Membership Fund transfer ($1,000) (1 mark for method: 10% of ($6,000 + $4,000), 1 mark for accuracy).
* 2 marks: Bar Profit ($5,050) (1 mark for Cost of Sales calculation, 1 mark for gross margin profit).
* 1 mark: Rent expense ($4,700).
* 1 mark: General expenses ($3,350).
* 2 marks: Depreciation expense ($3,225) (1 mark for base balance of $21,500, 1 mark for charging 15%).
* 1 mark: Correct calculation of Surplus ($9,425) (OF from candidate's listed figures).

**Part (c) [Total: 6 marks]**
* 2 marks per well-explained internal control measure (up to 3 measures). Max 6 marks.
* Acceptable points: Segregation of duties, pre-numbered receipt slips, dual-authorisation for banking/payments, independent stock takes, cashless/point-of-sale systems.

**Part (d) [Total: 3 marks]**
* 1 mark: Explaining advantages of audit (e.g., credibility, finding errors).
* 1 mark: Explaining disadvantages of audit (e.g., high fees, overhead/burden on volunteers).
* 1 mark: Forming a clear, justified conclusion/recommendation.

### Part (a) Working Capital Ratios

**1. Inventory Turnover Period (days)**
* Formula: \( \frac{\text{Closing Inventory}}{\text{Cost of Sales}} \times 365 \)
* Year 1: \( \frac{\$388,356}{\$3,150,000} \times 365 = 45.00 \text{ days} \)
* Year 2: \( \frac{\$591,781}{\$3,600,000} \times 365 = 60.00 \text{ days} \)

**2. Trade Receivables Turnover Period (days)**
* Formula: \( \frac{\text{Closing Trade Receivables}}{\text{Revenue}} \times 365 \)
* Year 1: \( \frac{\$517,808}{\$4,200,000} \times 365 = 45.00 \text{ days} \)
* Year 2: \( \frac{\$710,137}{\$4,800,000} \times 365 = 54.00 \text{ days} \)

**3. Trade Payables Turnover Period (days)**
* Formula: \( \frac{\text{Closing Trade Payables}}{\text{Credit Purchases}} \times 365 \)
* Year 1: \( \frac{\$311,644}{\$3,250,000} \times 365 = 35.00 \text{ days} \)
* Year 2: \( \frac{\$405,479}{\$3,700,000} \times 365 = 40.00 \text{ days} \)

**4. Working Capital Cycle (days)**
* Formula: Inventory Days + Receivables Days - Payables Days
* Year 1: \( 45.00 + 45.00 - 35.00 = 55.00 \text{ days} \)
* Year 2: \( 60.00 + 54.00 - 40.00 = 74.00 \text{ days} \)

---

### Part (b) Consequences of an Over-Extended Working Capital Cycle

1. **Severe cash flow and liquidity shortages:** When funds are locked up in inventory and receivables for longer periods, the company may struggle to pay immediate operating liabilities (e.g., payroll, interest, taxes) when they fall due, potentially leading to technical insolvency.
2. **Increased financing costs:** An extended cycle forces the firm to utilize more of its bank overdraft or secure short-term finance. This incurs significant extra interest costs (such as the 6% bank overdraft interest rate), lowering overall profitability.
3. **Damaged relationships with suppliers:** If the company tries to ease cash flow pressure by delaying payments to suppliers beyond their standard terms, suppliers may withdraw trade credit terms, charge interest penalties, or refuse further deliveries.

---

### Part (c) Evaluation of Proposals

#### Proposal 1: Settlement Discount
* **New Average Collection Period:**
\( (60\% \times 10 \text{ days}) + (40\% \times 40 \text{ days}) = 6 + 16 = 22 \text{ days} \)
* **New Average Trade Receivables:**
\( \frac{22}{365} \times \$4,800,000 = \$289,315 \)
* **Reduction in Trade Receivables:**
\( \$710,137 \text{ (Current)} - \$289,315 \text{ (New)} = \$420,822 \)
* **Annual Overdraft Interest Saved:**
\( \$420,822 \times 6\% = \$25,249 \)
* **Annual Cost of Discount:**
\( \$4,800,000 \times 60\% \times 2\% = \$57,600 \)
* **Net Annual Cost of Proposal 1:**
\( \$25,249 \text{ (savings)} - \$57,600 \text{ (cost)} = (\$32,351) \text{ [Net Cost]} \)

#### Proposal 2: Debt Factoring
* **New Average Trade Receivables (25 days collection):**
\( \frac{25}{365} \times \$4,800,000 = \$328,767 \)
* **Reduction in Trade Receivables:**
\( \$710,137 - \$328,767 = \$381,370 \)
* **Annual Overdraft Interest Saved on Receivable Reduction:**
\( \$381,370 \times 6\% = \$22,882 \)
* **Additional Interest Cost on Factor Advance:**
The factor advances 80% of the new receivables: \( 80\% \times \$328,767 = \$263,014 \).
The factor interest rate is 8%, which is 2% higher than the bank overdraft rate (6%).
\( \text{Additional interest cost} = \$263,014 \times (8\% - 6\%) = \$5,260 \)
*Alternatively calculated as: New Financing Cost = Factor Interest \( (\$263,014 \times 8\% = \$21,041) \) + Overdraft on remaining 20% \( (\$65,753 \times 6\% = \$3,945) \) = $24,986. Current Interest = \( \$710,137 \times 6\% = \$42,608 \). Net financing savings = \( \$42,608 - \$24,986 = \$17,622 \).*
* **Net Interest Savings:** \( \$22,882 - \$5,260 = \$17,622 \)
* **Factor Administration Fee:**
\( 1.5\% \times \$4,800,000 = \$72,000 \)
* **Administrative Savings:** \( \$48,000 \)
* **Net Annual Cost of Proposal 2:**
\( \$17,622 \text{ (interest savings)} + \$48,000 \text{ (admin savings)} - \$72,000 \text{ (factor fee)} = (\$6,378) \text{ [Net Cost]} \)

#### Evaluation and Recommendation
* **Financial Comparison:** Both strategies lead to a net cost, but Proposal 2 is much cheaper. The net annual cost of Proposal 2 is only $6,378, compared to $32,351 under Proposal 1, resulting in a net advantage of $25,973 per year for Proposal 2.
* **Non-Financial Considerations:**
* Under Proposal 1, the company maintains direct relationships with its customers, whereas factoring may alienate customers if the factor employs aggressive collection tactics.
* However, Proposal 2 significantly relieves management from sales ledger administration duties, allowing them to focus on marketing and operations.
* **Recommendation:** Vortex PLC should implement Proposal 2 due to the substantial financial savings, but they must ensure the factor acts professionally to protect customer goodwill.

---

### Part (d) Limitations of Ratio Analysis for Working Capital

1. **Historical Data:** Ratios are computed using historical transaction costs and balances which look backward and may not accurately represent current or future operating conditions.
2. **Snapshot figures:** Year-end balance sheet values represent a single point in time and may be distorted by seasonal peaks or troughs, meaning they do not accurately represent the average working capital position throughout the entire financial year.
3. **Accounting Policies:** Differences in internal accounting choices (e.g., using FIFO versus Weighted Average for valuation of inventories) can hinder comparisons with industry benchmarks and direct competitors.

**Part (a) [8 marks]**
* 1 mark for each correct ratio calculated for Year 1 (Total: 4 marks).
* 1 mark for each correct ratio calculated for Year 2 (Total: 4 marks).
* Accept correct responses rounded to two decimal places (e.g., 45.00, 60.00, 54.00, 40.00).

**Part (b) [4 marks]**
* 2 marks for each well-explained consequence of an over-extended cycle (1 mark for identifying, 1 mark for explaining relation to Vortex PLC).

**Part (c) [10 marks]**
* **Proposal 1 (4 marks):**
* 1 mark for calculating correct average collection period (22 days).
* 1 mark for finding new average receivables ($289,315) and receivable reduction.
* 1 mark for finding annual discount cost ($57,600).
* 1 mark for finding net annual cost ($32,351).
* **Proposal 2 (4 marks):**
* 1 mark for finding new average receivables ($328,767).
* 1 mark for finding net financing/interest savings ($17,622).
* 1 mark for calculating factor fee ($72,000) and applying admin savings ($48,000).
* 1 mark for finding net annual cost ($6,378).
* **Evaluation & Recommendation (2 marks):**
* 1 mark for clear comparison of financial figures showing Proposal 2 is better by $25,973.
* 1 mark for logical recommendation supported by qualitative trade-offs (e.g., customer relationships vs. management time saved).

**Part (d) [3 marks]**
* 1 mark for each valid limitation stated (max 3 marks).

### Part (a) Flexible Budget and Reconciliation Statement

**1. Budget Comparison Table**

| Budget Element | Original Budget (2,000 units) ($) | Flexible Budget (1,800 units) ($) | Actual Results (1,800 units) ($) | Variance (Flexed vs Actual) ($) |
| :--- | :---: | :---: | :---: | :---: |
| **Revenue** | 400,000 | 360,000 | 378,000 | 18,000 (F) |
| **Direct Materials** | (120,000) | (108,000) | (109,620) | 1,620 (A) |
| **Direct Labour** | (120,000) | (108,000) | (107,010) | 990 (F) |
| **Variable Overhead** | (30,000) | (27,000) | (28,100) | 1,100 (A) |
| **Fixed Overhead** | (50,000) | (50,000) | (52,000) | 2,000 (A) |
| **Profit** | **80,000** | **67,000** | **81,270** | **14,270 (F)** |

*Note on Fixed Overhead:* In a flexible budget, budgeted fixed overheads remain constant at the static budget level ($50,000).

**2. Reconciliation of Original Budgeted Profit to Actual Profit**

$$\begin{array}{lrr} & \$ & \$ \\ \hline \text{Original Budgeted Profit} & & 80,000 \\ \text{Less: Sales Volume Variance } (200\text{ units} \times \$65\text{ standard contribution}) & & (13,000) \\ \hline \text{Flexible Budgeted Profit} & & 67,000 \\ \text{Add Favourable Variances:} & & \\ \quad \text{Sales Price Variance} & 18,000 & \\ \quad \text{Direct Labour Variance} & 990 & 18,990 \\ \text{Less Adverse Variances:} & & \\ \quad \text{Direct Materials Variance} & (1,620) & \\ \quad \text{Variable Overhead Variance} & (1,100) & \\ \quad \text{Fixed Overhead Budget Variance} & (2,000) & (4,720) \\ \hline \textbf{Actual Profit} & & \mathbf{81,270} \\ \hline \end{array}$$

*Standard Contribution per unit:* $$200 - ($60 + $60 + $15) = $65$

---

### Part (b) Detailed Variance Calculations

**(i) Direct Materials Price Variance**
* $\text{Actual Price (AP)} = $109,620 / 7,560\text{ kg} = $14.50\text{ per kg}$
* $\text{Price Variance} = (\text{Standard Price} - \text{Actual Price}) \times \text{Actual Quantity}$
* $\text{Price Variance} = ($15.00 - $14.50) \times 7,560 = \mathbf{$3,780\text{ (F)}}$

**(ii) Direct Materials Usage Variance**
* $\text{Standard Quantity (SQ)} = 1,800\text{ units} \times 4\text{ kg} = 7,200\text{ kg}$
* $\text{Usage Variance} = (\text{Standard Quantity} - \text{Actual Quantity}) \times \text{Standard Price}$
* $\text{Usage Variance} = (7,200 - 7,560) \times $15.00 = -360 \times $15.00 = \mathbf{$5,400\text{ (A)}}$

**(iii) Direct Labour Rate Variance**
* $\text{Actual Rate (AR)} = $107,010 / 5,220\text{ hours} = $20.50\text{ per hour}$
* $\text{Rate Variance} = (\text{Standard Rate} - \text{Actual Rate}) \times \text{Actual Hours}$
* $\text{Rate Variance} = ($20.00 - $20.50) \times 5,220 = -0.50 \times 5,220 = \mathbf{$2,610\text{ (A)}}$

**(iv) Direct Labour Efficiency Variance**
* $\text{Standard Hours (SH)} = 1,800\text{ units} \times 3\text{ hours} = 5,400\text{ hours}$
* $\text{Efficiency Variance} = (\text{Standard Hours} - \text{Actual Hours}) \times \text{Standard Rate}$
* $\text{Efficiency Variance} = (5,400 - 5,220) \times $20.00 = 180 \times $20.00 = \mathbf{$3,600\text{ (F)}}$

---

### Part (c) Evaluation of Orion Alloys Proposal

**Financial Analysis (Contribution per Frame):**

* **Current Situation:**
* Selling Price = $$200.00$
* Direct Materials = $4\text{ kg} \times $15.00 = $60.00$
* Direct Labour = $3\text{ hours} \times $20.00 = $60.00$
* Variable Overhead = $3\text{ hours} \times $5.00 = $15.00$
* **Contribution per unit = $$65.00$**

* **Proposed Orion Alloys Situation:**
* Selling Price = $$190.00$ ($5\%$ price reduction)
* Direct Materials = $4.4\text{ kg} (4\text{ kg} \times 1.10) \times $13.20 = $58.08$
* Direct Labour = $3.2\text{ hours} \times $20.00 = $64.00$
* Variable Overhead = $3.2\text{ hours} \times $5.00 = $16.00$
* **Contribution per unit = $$190.00 - ($58.08 + $64.00 + $16.00) = $51.92$**

**Financial Assessment:**
* The proposal reduces the contribution per frame from $$65.00$ to $$51.92$ (a drop of $$13.08$ per frame, or a $20.1\%$ reduction).
* Even though materials cost per kg is lower, the increased usage and reduced labour efficiency more than offset the price saving, which is further worsened by the lower selling price.

**Non-Financial Considerations:**
* **Reputation:** Selling premium bicycle frames with inferior quality titanium could permanently damage Veloce Limited's luxury brand image.
* **Defect & Waste Rates:** Higher usage suggests higher wastage and potential structural integrity issues in titanium frames, raising liability risks.
* **Labour Morale:** Working with difficult/lower quality materials may increase labour frustration and lead to industrial disputes.

**Conclusion:**
* Veloce Limited should **reject** the proposal as it is both financially detrimental and poses a high risk to brand reputation.

### Part (a) [12 marks total]
* **Original Budget Column:** correctly identifying budgeted profit of $$80,000$ [1 mark]
* **Flexible Budget Column:** pro-rating variables (Revenue $$360,000$, Materials $$108,000$, Labour $$108,000$, Variable Overhead $$27,000$) and keeping fixed overheads constant at $$50,000$ to reach flexed profit of $$67,000$ [3 marks]
* **Actual Results Column:** correctly identifying actual profit of $$81,270$ [1 mark]
* **Individual Variances:** identifying correct variances: Sales Price $$18,000$ (F), Materials Cost $$1,620$ (A), Labour Cost $$990$ (F), Variable Overhead $$1,100$ (A), Fixed Overhead Budget $$2,000$ (A) [4 marks]
* **Reconciliation Format:** Starting from original budget, identifying sales volume variance of $$13,000$ (A), and reconciling to actual profit of $$81,270$ [3 marks]

### Part (b) [8 marks total]
* **(i) Materials Price Variance:** $$3,780$ (F) [1 mark formula/working, 1 mark accuracy & direction]
* **(ii) Materials Usage Variance:** $$5,400$ (A) [1 mark formula/working, 1 mark accuracy & direction]
* **(iii) Labour Rate Variance:** $$2,610$ (A) [1 mark formula/working, 1 mark accuracy & direction]
* **(iv) Labour Efficiency Variance:** $$3,600$ (F) [1 mark formula/working, 1 mark accuracy & direction]

### Part (c) [5 marks total]
* **Financial calculations:** Calculating current contribution of $$65.00$ and proposed contribution of $$51.92$ per frame [2 marks]
* **Non-financial analysis:** Discussing brand reputation, potential quality issues/returns, and labour morale [2 marks]
* **Recommendation:** Clear recommendation to reject based on findings [1 mark]

### **Part (a): Calculation of Net Present Value (NPV)**

First, we calculate the annual contribution per unit:
\(\text{Contribution per unit} = \$5.50 - \$3.20 = \$2.30\)

**Annual Cash Flow Calculations:**
* **Year 0:**
* Machine cost: $($450,000)\)
* Working capital: $($40,000)\)
* **Net Cash Flow Year 0 = $($490,000)\)**
* **Year 1:**
* Contribution: \(80,000 \times \$2.30 = \$184,000\)
* Fixed costs: $($60,000)\)
* **Net Cash Flow Year 1 = $124,000\)**
* **Year 2:**
* Contribution: \(100,000 \times \$2.30 = \$230,000\)
* Fixed costs: $($60,000)\)
* **Net Cash Flow Year 2 = $170,000\)**
* **Year 3:**
* Contribution: \(120,000 \times \$2.30 = \$276,000\)
* Fixed costs: $($60,000)\)
* **Net Cash Flow Year 3 = $216,000\)**
* **Year 4:**
* Contribution: \(90,000 \times \$2.30 = \$207,000\)
* Fixed costs: $($60,000)\)
* Scrap value: $50,000
* Working capital recovery: $40,000
* **Net Cash Flow Year 4 = $207,000 - $60,000 + $50,000 + $40,000 = $237,000\)**

**Present Value (PV) Calculation:**
| Year | Cash Flow ($) | Discount Factor (10%) | Present Value ($) |
|---|---|---|---|
| 0 | (490,000) | 1.000 | (490,000) |
| 1 | 124,000 | 0.909 | 112,716 |
| 2 | 170,000 | 0.826 | 140,420 |
| 3 | 216,000 | 0.751 | 162,216 |
| 4 | 237,000 | 0.683 | 161,871 |
| **NPV** | | | **87,223** |

**Net Present Value (NPV) = $87,223**

---

### **Part (b): Sensitivity Analysis**

**(i) Sensitivity to Initial Machine Cost**
\(\text{Sensitivity} = \frac{\text{NPV}}{\text{PV of initial machine cost}} \times 100\%\)
\(\text{Sensitivity} = \frac{\$87,223}{\$450,000} \times 100\% = 19.38\%\)

**(ii) Sensitivity to Selling Price**
First, calculate the Present Value of the total Sales Revenue:
* Year 1 Revenue: \(80,000 \times \$5.50 = \$440,000\) | \(PV = \$440,000 \times 0.909 = \$399,960\)
* Year 2 Revenue: \(100,000 \times \$5.50 = \$550,000\) | \(PV = \$550,000 \times 0.826 = \$454,300\)
* Year 3 Revenue: \(120,000 \times \$5.50 = \$660,000\) | \(PV = \$660,000 \times 0.751 = \$495,660\)
* Year 4 Revenue: \(90,000 \times \$5.50 = \$495,000\) | \(PV = \$495,000 \times 0.683 = \$338,085\)
* **Total PV of Revenue** = $399,960 + $454,300 + $495,660 + $338,085 = $1,688,005\)

\(\text{Sensitivity to Selling Price} = \frac{\text{NPV}}{\text{PV of Revenue}} \times 100\%\)
\(\text{Sensitivity} = \frac{\$87,223}{\$1,688,005} \times 100\% = 5.17\%\)

---

### **Part (c): Advice to Directors**
* **Financial reasons:** The NPV is positive ($87,223), which suggests the project will increase shareholder wealth and should be accepted.
* **Risk/Sensitivity:** The project is highly sensitive to the selling price (only a 5.17% drop in selling price reduces NPV to zero). Market research should verify if the selling price of $5.50 is sustainable.
* **Non-financial reasons:** Producing "carbon-neutral packaging" aligns with corporate social responsibility (CSR) objectives, which may enhance brand reputation, attract eco-conscious customers, and mitigate future regulatory compliance costs.

**(a) NPV Calculation (12 marks)**
* Initial outflow Year 0 (including working capital): [1] mark
* Year 1 contribution calculation ($184,000) and net flow ($124,000): [2] marks
* Year 2 contribution calculation ($230,000) and net flow ($170,000): [1] mark
* Year 3 contribution calculation ($276,000) and net flow ($216,000): [1] mark
* Year 4 contribution and fixed cost calculations: [1] mark
* Year 4 scrap value inclusion ($50,000): [1] mark
* Year 4 working capital recovery inclusion ($40,000): [1] mark
* Applying correct discount factors (Years 1 to 4): [2] marks (1 mark for Years 1 & 2, 1 mark for Years 3 & 4)
* Calculating correct PVs: [1] mark
* Final correct positive NPV ($87,223): [1] mark (allow OF for arithmetic error carried forward)

**(b) Sensitivity Analysis (9 marks)**
**(i) Sensitivity to initial machine cost (4 marks)**
* Identification of formula (NPV / PV of initial machine cost): [1] mark
* Use of correct PV of machine cost ($450,000): [1] mark
* Calculation process: [1] mark
* Correct final sensitivity percentage (19.38% or 19.4%): [1] mark

**(ii) Sensitivity to selling price (5 marks)**
* Calculation of annual revenues: [1] mark
* Calculation of PV of total revenues ($1,688,005): [2] marks
* Applying NPV / PV of Revenue formula: [1] mark
* Correct final sensitivity percentage (5.17%): [1] mark

**(c) Advice to Directors (4 marks)**
* Recommend proceeding based on positive NPV (financial argument): [1] mark
* Evaluate sensitivity risk (especially the highly sensitive selling price of 5.17%): [1] mark
* Incorporate non-financial factor (carbon-neutral packaging, CSR/environmental benefits, corporate image): [1] mark
* Clear overall concluding advice: [1] mark