2025 Cambridge IAL Accounting (9706) 模擬試題連答案詳解

1. Calculate the bonus issue:
- Number of existing shares = 500,000
- Bonus shares to issue = \(500,000 \times 0.5 = 250,000\) shares
- Nominal value of bonus shares = \(250,000 \times \$1.00 = \$250,000\)
- To keep reserves in their most flexible form, the company uses the non-distributable share premium first: $150,000.
- The remaining balance of $100,000 ($250,000 - $150,000) must be funded from retained earnings.

2. Calculate the closing retained earnings:
- Opening balance: $240,000
- Less: Share of bonus issue: ($100,000)
- Add: Profit for the year: $185,000
- Less: Dividend paid: ($45,000)
- Less: Transfer to general reserve: ($30,000)
- Closing balance = \(240,000 - 100,000 + 185,000 - 45,000 - 30,000 = \$250,000\).

1 mark for the correct option B. Method: Identify nominal value of bonus shares ($250,000), apply share premium of $150,000, deduct remaining $100,000 from opening retained earnings of $240,000, add profit, deduct dividend and general reserve transfer.

1. Cash inflow from share issue: \(200,000 \text{ shares} \times (\$0.50 + \$0.15) = \$130,000\).
2. Cash outflow from redemption of debentures: \(\$100,000 \times 1.05 = \$105,000\).
3. Cash outflow from dividends paid: \(1,200,000 \text{ shares} \times \$0.05 = \$60,000\).
4. Net cash flow from financing activities: \(\$130,000 - \$105,000 - \$60,000 = -\$35,000\) (net cash outflow of $35,000).

1 mark for the correct option B. Method: Sum financing cash flows (share issue proceeds: +$130,000; debenture redemption: -$105,000; dividends paid: -$60,000).

1. December sales cash collection: \(\$240,000 \times 50\% \times (100\% - 2\%) = \$117,600\).
2. November sales cash collection: \(\$200,000 \times 40\% = \$80,000\).
3. October sales cash collection: \(\$180,000 \times 8\% = \$14,400\).
4. Total cash receipts in December = \(\$117,600 + \$80,000 + \$14,400 = \$212,000\).

1 mark for the correct option B. Method: Apply cash collection percentages and discounts to the respective month sales and aggregate.

1. Standard cost of actual output = \(2,500 \text{ units} \times 4 \text{ kg/unit} \times \$8.00/\text{kg} = \$80,000\).
2. Total material cost variance = Material Price Variance + Material Usage Variance = \(\$1,150 \text{ (Adverse)} + (-\$1,600) \text{ (Favourable)} = -\$450\) (Net Favourable variance).
3. Actual Cost = Standard Cost - Net Favourable Variance = \(\$80,000 - \$450 = \$79,550\).

Alternative method:
- Material usage variance = \((SQ - AQ) \times SP \Rightarrow (10,000 - AQ) \times 8 = 1,600 \text{ (F)} \Rightarrow AQ = 9,800 \text{ kg}\).
- Material price variance = \((SP - AP) \times AQ \Rightarrow (\$8.00 - AP) \times 9,800 = -\$1,150 \Rightarrow \text{Actual Cost} (AQ \times AP) = (9,800 \times \$8.00) + \$1,150 = \$79,550\).

1 mark for the correct option C. Method: Reconcile standard cost of actual production ($80,000) with price and usage variances to find actual cost.

1. Calculate contribution per unit:
- Product X: \(\$50 - \$30 = \$20\)
- Product Y: \(\$70 - \$40 = \$30\)
- Product Z: \(\$90 - \$54 = \$36\)

2. Calculate contribution per kg of limiting factor (raw material):
- Product X: \(\$20 / 2 \text{ kg} = \$10.00\) per kg
- Product Y: \(\$30 / 5 \text{ kg} = \$6.00\) per kg
- Product Z: \(\$36 / 4 \text{ kg} = \$9.00\) per kg

3. Rank priority (highest contribution per kg first):
- 1st: Product X ($10.00)
- 2nd: Product Z ($9.00)
- 3rd: Product Y ($6.00)

Therefore, the priority order is X, Z, Y.

1 mark for the correct option B. Method: Determine unit contribution, divide by the limiting factor quantity (kg) to find contribution per kg, and rank accordingly.

1. Revaluation surplus:
- A: \(\$40,000 \times 3/5 = \$24,000\)
- B: \(\$40,000 \times 2/5 = \$16,000\)
- Capital post-revaluation: A = $144,000, B = $96,000.

2. Goodwill adjustment (no goodwill account):
- Credit old ratio (3:2): A: +$30,000; B: +$20,000
- Debit new ratio (5:3:2): A: -$25,000; B: -$15,000; C: -$10,000
- Capital post-goodwill:
- A: \(\$144,000 + \$5,000 = \$149,000\)
- B: \(\$96,000 + \$5,000 = \$101,000\)
- C: \(-\$10,000\)

3. Cash introduced (\(X\)):
- C's capital balance = \(X - \$10,000\)
- Total partnership capital = \(\$149,000 + \$101,000 + X - \$10,000 = \$240,000 + X\)
- Since C's capital balance = 20% of total capital:
\(X - 10,000 = 0.20 \times (240,000 + X)\)
\(X - 10,000 = 48,000 + 0.20X\)
\(0.80X = 58,000 \Rightarrow X = \$72,500\).

1 mark for the correct option C. Method: Adjust partners' capitals for revaluation and goodwill, set up and solve the equation representing C's share of total capital.

1. 31 Dec 2021 Depreciation: \(\$80,000 \times 20\% = \$16,000\). Carrying Amount = $64,000.
2. 31 Dec 2022 Depreciation: \(\$64,000 \times 20\% = \$12,800\). Carrying Amount = $51,200.
3. 1 Jan 2023 policy change to straight-line method:
- Carrying Amount = $51,200.
- Residual Value = $3,200.
- Depreciable amount = \(\$51,200 - \$3,200 = \$48,000\).
- Remaining useful life = 4 years.
- 2023 Depreciation Charge = \(\$48,000 / 4 = \$12,000\).

1 mark for the correct option B. Method: Determine the carrying amount at the end of Year 2 ($51,200), deduct the residual value ($3,200), and divide by the 4-year remaining useful life.

1. Identify cash book adjustments vs. bank reconciliation items:
- Draft balance: $4,500 Credit (Overdraft)
- Bank charges: $150 Credit (increases Credit balance)
- Dishonoured cheque: $850 Credit (increases Credit balance)
- Duplicate receipt correction: $1,200 Credit (increases Credit balance)
- Unpresented cheques and deposits in transit are bank reconciliation statement items, not cash book adjustments.

2. Calculate the adjusted cash book balance:
\(\text{Adjusted Balance} = \$4,500 + \$150 + \$850 + \$1,200 = \$6,700 \text{ Credit}\).

1 mark for the correct option C. Method: Adjust the overdraft (credit balance) by adding bank charges, the dishonoured cheque, and the correction of the duplicate receipt. Ignore bank reconciliation items.

1. Find the number of shares initially: $\frac{200,000}{0.50} = 400,000\) shares.
2. Calculate the interim dividend: \(400,000 \times \$0.05 = \$20,000\).
3. Calculate the size of the bonus issue: \(400,000 \times \frac{1}{4} = 100,000\) shares.
4. Value of the bonus issue: \(100,000 \times \$0.50 = \$50,000\).
5. Fund the bonus issue: $40,000 is used from the Share Premium account (leaving it at $0). The remaining shortfall of \(\$50,000 - \$40,000 = \$10,000\) must be funded from Retained Earnings.
6. Calculate the final balance on Retained Earnings: \(\$95,000\) (opening) + \(\$65,000\) (profit) - \(\$20,000\) (dividend) - \(\$10,000\) (bonus issue shortfall) = \(\$130,000\).

1 mark for the correct answer of $130,000. Method: Calculate number of shares, determine dividend paid, determine bonus issue value, identify the share premium contribution, determine the remaining bonus issue cost funded from retained earnings, and compute closing retained earnings.

To calculate the net cash flow from operating activities:
Profit from operations: $145,000
Adjustments for non-cash items:
+ Depreciation: $28,000
+ Loss on sale of equipment: $4,500
Working capital changes:
- Increase in inventory: ($12,200)
- Increase in trade receivables: ($8,400)
- Decrease in trade payables: ($5,100)
Cash generated from operations = $151,800
Less interest paid: ($6,000)
Less income tax paid: ($18,000)
Net cash flow from operating activities = $127,800.

1 mark for the correct answer of $127,800. Method: Adjust operating profit for non-cash flow transactions (depreciation, loss on sale), adjust for working capital changes with the correct signs, and deduct interest and tax paid to find the net cash flow from operating activities.

1. Calculate November production: November Sales (7,500) + Closing Finished Goods Inventory (20% of Dec sales = 1,800) - Opening Finished Goods Inventory (20% of Nov sales = 1,500) = 7,800 units.
2. Calculate December production: December Sales (9,000) + Closing Finished Goods Inventory (20% of Jan sales = 1,600) - Opening Finished Goods Inventory (20% of Dec sales = 1,800) = 8,800 units.
3. Raw material required for production: November production requirements = \(7,800 \times 3\text{ kg} = 23,400\text{ kg}\). December production requirements = \(8,800 \times 3\text{ kg} = 26,400\text{ kg}\).
4. Raw material inventory adjustments: November Closing Inventory = 10% of Dec requirements = 2,640 kg. November Opening Inventory = 10% of Nov requirements = 2,340 kg.
5. November purchases = \(23,400\text{ kg} + 2,640\text{ kg} - 2,340\text{ kg} = 23,700\text{ kg}\).

1 mark for the correct answer of 23,700 kg. Method: Convert sales units to production units for November and December, calculate direct material requirements, adjust for opening and closing inventories of raw materials.

1. Direct Labour Rate Variance: \((\text{Standard Rate} - \text{Actual Rate}) \times \text{Actual Hours}\). Actual Rate = \(\frac{\$74,800}{4,400} = \$17.00\). Rate Variance = \((\$15.00 - \$17.00) \times 4,400 = \$8,800\) Adverse (since actual rate is higher than standard).
2. Direct Labour Efficiency Variance: \((\text{Standard Hours} - \text{Actual Hours}) \times \text{Standard Rate}\). Standard Hours = \(1,200 \text{ units} \times 4 \text{ hours/unit} = 4,800 \text{ hours}\). Efficiency Variance = \((4,800 - 4,400) \times \$15.00 = 400 \text{ hours} \times \$15.00 = \$6,000\) Favourable (since actual hours are fewer than standard).

1 mark for the correct answer of Option A. Method: Compute actual wage rate and standard hours for actual output, apply standard rate and standard hours formulas, and correctly identify variance directions (Adverse/Favourable).

1. Calculate original expected profit: Original Contribution per unit = \(\$50 - \$30 = \$20\). Total contribution = \(9,000 \times \$20 = \$180,000\). Original expected profit = \(\$180,000 - \$100,000 = \$80,000\).
2. Calculate new contribution per unit: New Selling Price = \(\$50 \times 0.9 = \$45\). New Variable Cost = \(\$30 + \$5 = \$35\). New Contribution per unit = \(\$45 - \$35 = \$10\).
3. Calculate required sales units: Target contribution = \(\text{Fixed Costs} + \text{Target Profit} = \$100,000 + \$80,000 = \$180,000\). Required Sales Volume = \(\frac{\$180,000}{\$10} = 18,000\) units.

1 mark for the correct answer of 18,000 units. Method: Calculate original contribution and target profit, determine the revised selling price and variable cost, and calculate the required volume using the revised unit contribution.

1. Credit goodwill to old partners in the old profit-sharing ratio (3:2): X: \(\frac{3}{5} \times \$50,000 = \$30,000\); Y: \(\frac{2}{5} \times \$50,000 = \$20,000\).
2. Write off goodwill to all partners in the new profit-sharing ratio (5:3:2): X: \(\frac{5}{10} \times \$50,000 = \$25,000\); Y: \(\frac{3}{10} \times \$50,000 = \$15,000\); Z: \(\frac{2}{10} \times \$50,000 = \$10,000\).
3. Calculate X's capital account balance: Opening balance ($60,000) + Goodwill credit ($30,000) - Goodwill write-off debit ($25,000) = $65,000.

1 mark for the correct answer of $65,000. Method: Allocate goodwill to the capital accounts in the old profit-sharing ratio and write it off in the new ratio, then adjust X's opening capital balance.

1. Depreciation per year for 2021 and 2022: \(\frac{\$400,000}{40 \text{ years}} = \$10,000\) per year.
2. Accumulated depreciation up to 1 January 2023 (2 years): \(\$10,000 \times 2 = \$20,000\).
3. Carrying amount on 1 January 2023 immediately before revaluation: \(\$400,000 - \$20,000 = \$380,000\).
4. Remaining useful life on 1 January 2023: \(40 - 2 = 38\) years.
5. Depreciation charge for 2023: \(\frac{\$456,000 \text{ (revalued amount)}}{38 \text{ years (remaining life)}} = \$12,000\).

1 mark for the correct answer of $12,000. Method: Calculate carrying amount after 2 years of depreciation, establish the remaining useful life, and divide the revalued amount by the remaining useful life.

1. Update the cash book balance to find the true cash balance:
Adjusted Cash Book Balance = \(\$8,450 \text{ (debit)} - \$180 \text{ (bank charges)} - \$620 \text{ (dishonoured cheque)} = \$7,650\) debit.
2. Reconcile the adjusted cash book balance to the bank statement balance:
\(\text{Adjusted Cash Book Balance} = \text{Bank Statement Balance} + \text{Uncredited Deposits} - \text{Unpresented Cheques}\)
\(\$7,650 = B + \$940 - \$1,250\)
\(\$7,650 = B - \$310\)
\(B = \$7,650 + \$310 = \$7,960\).

1 mark for the correct answer of $7,960. Method: Adjust the cash book balance for unrecorded items (bank charges and dishonoured cheques), then apply the bank reconciliation formula using uncredited deposits and unpresented cheques to work backward to the bank statement balance.

1. **Material Usage Variance**:
- Standard Quantity (SQ) for actual production = \(1,100 \text{ units} \times 3 \text{ kg/unit} = 3,300 \text{ kg}\)
- Actual Quantity (AQ) used = 3,400 kg
- Variance in kg = \(3,300 - 3,400 = 100 \text{ kg Adverse}\)
- Usage Variance = \(100 \text{ kg} \times \text{Standard Price } ($5.00) = $500 \text{ Adverse}\)

2. **Material Price Variance**:
- Actual Price (AP) per kg = \($16,320 / 3,400 \text{ kg} = $4.80\)
- Price Variance = \((\text{Standard Price} - \text{Actual Price}) \times \text{Actual Quantity}\)
- Price Variance = \(($5.00 - $4.80) \times 3,400 = $680 \text{ Favourable}\)

1 mark for the correct combination of Material Price Variance ($680 Favourable) and Material Usage Variance ($500 Adverse).

Goodwill is calculated as the purchase consideration minus the agreed value of net assets taken over.

1. **Agreed Value of Net Assets Taken Over**:
- Non-current assets: $150,000
- Inventory and receivables: $40,000
- Less Trade payables: ($18,000)
- Net assets taken over = \($150,000 + $40,000 - $18,000 = $172,000\)
*(Note: The bank balance is excluded because it was not taken over.)*

2. **Goodwill**:
- \(\text{Goodwill} = \text{Purchase Consideration} - \text{Net Assets Taken Over}\)
- \(\text{Goodwill} = $200,000 - $172,000 = $28,000\)

1 mark for the correct calculation of goodwill ($28,000).

1. **Calculate budgeted production for January and February**:
- **January Production**:
- January Sales = 8,000 units
- Closing Finished Goods = \(20\% \times 9,000 \text{ (February sales)} = 1,800 \text{ units}\)
- Opening Finished Goods = \(20\% \times 8,000 \text{ (January sales)} = 1,600 \text{ units}\)
- January Production = \(8,000 + 1,800 - 1,600 = 8,200 \text{ units}\)
- **February Production**:
- February Sales = 9,000 units
- Closing Finished Goods = \(20\% \times 10,000 \text{ (March sales)} = 2,000 \text{ units}\)
- Opening Finished Goods = 1,800 units
- February Production = \(9,000 + 2,000 - 1,800 = 9,200 \text{ units}\)

2. **Calculate raw material requirements**:
- January Production requirement = \(8,200 \text{ units} \times 2 \text{ kg} = 16,400 \text{ kg}\)
- February Production requirement = \(9,200 \text{ units} \times 2 \text{ kg} = 18,400 \text{ kg}\)

3. **Calculate January raw material purchases**:
- January Closing Inventory of raw material M = \(10\% \times 18,400 \text{ kg (February requirement)} = 1,840 \text{ kg}\)
- January Opening Inventory of raw material M = \(10\% \times 16,400 \text{ kg (January requirement)} = 1,640 \text{ kg}\)
- January Purchases = \(16,400 + 1,840 - 1,640 = 16,600 \text{ kg}\)

1 mark for the correct calculations leading to the budgeted raw material purchases of 16,600 kg.

1. **Current contribution**:
- Contribution per unit = \($25 - $15 = $10\)
- Total current contribution = \(10,000 \text{ units} \times $10 = $100,000\)
- Current profit = \($100,000 - $60,000 = $40,000\)

2. **Proposed contribution**:
- Proposed sales volume = \(10,000 \times 90\% = 9,000 \text{ units}\)
- Proposed contribution per unit = \($28 - $15 = $13\)
- Total proposed contribution = \(9,000 \text{ units} \times $13 = $117,000\)
- Proposed profit = \($117,000 - $60,000 = $57,000\)

3. **Effect on profit**:
- Profit change = \($57,000 - $40,000 = $17,000 \text{ increase}\)

1 mark for the correct change in profit of a $17,000 increase.

1. **Adjust A and B's capital accounts for Goodwill**:
- Goodwill created in old ratio (3:2):
- A: \($40,000 \times 3/5 = +$24,000\)
- B: \($40,000 \times 2/5 = +$16,000\)
- Goodwill written off in new ratio (5:3:2):
- A: \($40,000 \times 5/10 = -$20,000\)
- B: \($40,000 \times 3/10 = -$12,000\)
- C: \($40,000 \times 2/10 = -$8,000\)

- Adjusted Capital Balances for A and B:
- A: \($80,000 + $24,000 - $20,000 = $84,000\)
- B: \($50,000 + $16,000 - $12,000 = $54,000\)
- Combined adjusted capital of A and B = \($84,000 + $54,000 = $138,000\)

2. **Determine C's required capital balance**:
- Combined capital of A and B represents 80% of the new partnership's total capital.
- Total new capital = \($138,000 / 0.80 = $172,500\)
- C's required net capital balance (20%) = \($172,500 \times 20\% = $34,500\)

3. **Calculate C's cash contribution**:
- \(\text{C's Net Capital Balance} = \text{Cash Contribution} - \text{C's Goodwill Share}\)
- \($34,500 = \text{Cash Contribution} - $8,000\)
- \(\text{Cash Contribution} = $34,500 + $8,000 = $42,500\)

1 mark for the correct cash contribution of $42,500.

1. **Determine the carrying amount of the machine before revaluation**:
- Cost (1 Jan 2021) = $80,000
- Depreciation 2021 = \($80,000 \times 20\% = $16,000\)
- Carrying Amount (31 Dec 2021) = $64,000
- Depreciation 2022 = \($64,000 \times 20\% = $12,800\)
- Carrying Amount (31 Dec 2022) = \($64,000 - $12,800 = $51,200\)

2. **Revaluation on 1 January 2023**:
- New carrying amount = $55,000

3. **Depreciation and disposal in 2023**:
- Depreciation 2023 = \($55,000 \times 20\% = $11,000\)
- Carrying Amount on date of disposal (31 Dec 2023) = \($55,000 - $11,000 = $44,000\)
- Disposal proceeds = $42,000
- Loss on disposal = \($44,000 - $42,000 = $2,000 \text{ loss}\)

1 mark for the correct calculation of loss on disposal ($2,000).

We must adjust the draft sales ledger control account balance for errors that affect the control account:

- Draft Balance = $43,200
- **Item 1**: Credit write-off of $650 to the control account (not previously entered) = -$650
- **Item 2**: Debit sales journal undercast of $1,200 (sales journal totals are posted to the debit of the control account) = +$1,200
- **Item 3**: No adjustment needed. The control account was correct; only the customer's personal account was incorrect = $0
- **Item 4**: Credit control account with $3,500 to remove the cash sales incorrectly debited = -$3,500

Corrected Balance = \($43,200 - $650 + $1,200 - $3,500 = $40,250\)

1 mark for the correct adjusted balance of $40,250.

1. **Initial position**:
- Ordinary shares ($0.50 nominal) = \($300,000 / $0.50 = 600,000 \text{ shares}\)
- Share premium = $120,000

2. **Rights Issue (1 April 2023)**:
- Rights shares issued = \(600,000 / 4 = 150,000 \text{ shares}\)
- Premium per share = \($0.80 \text{ price} - $0.50 \text{ nominal} = $0.30\)
- Addition to share premium = \(150,000 \times $0.30 = $45,000\)
- Share premium balance after rights issue = \($120,000 + $45,000 = $165,000\)
- Total shares in issue = \(600,000 + 150,000 = 750,000 \text{ shares}\)

3. **Bonus Issue (1 October 2023)**:
- Bonus shares issued = \(750,000 / 10 = 75,000 \text{ shares}\)
- Nominal value of bonus shares = \(75,000 \times $0.50 = $37,500\)
- This is funded by debiting the share premium account.
- Share premium balance after bonus issue = \($165,000 - $37,500 = $127,500\)

*(Note: Profit and dividends do not affect the share premium account.)*

1 mark for the correct closing share premium balance of $127,500.

1. **Opening Retained Earnings**: \( \$240,000 \)

2. **Rights Issue**:
* Number of rights shares issued = \( 500,000 \times \frac{1}{5} = 100,000 \) shares
* Increase in Ordinary Share Capital = \( 100,000 \times \$1.00 = \$100,000 \)
* Increase in Share Premium = \( 100,000 \times \$0.40 = \$40,000 \)
* New Share Premium balance = \( \$15,000 \text{ (opening)} + \$40,000 = \$55,000 \)
* Total ordinary shares now in issue = \( 500,000 + 100,000 = 600,000 \) shares

3. **Bonus Issue**:
* Number of bonus shares = \( 600,000 \times \frac{1}{10} = 60,000 \) shares
* Nominal value of bonus shares = \( 60,000 \times \$1.00 = \$60,000 \)
* Funding the bonus issue: The company utilises the Share Premium account of \( \$55,000 \) (reducing it to zero), and the remaining balance of \( \$5,000 \) (\( \$60,000 - \$55,000 \)) must be funded from Retained Earnings.

4. **Retained Earnings Closing Balance**:
* Opening balance: \( \$240,000 \)
* Less: Funding of bonus issue: \( -\$5,000 \)
* Add: Profit for the year: \( +\$115,000 \)
* Less: Dividends paid: \( -\$35,000 \)
* Closing balance = \( \$240,000 - \$5,000 + \$115,000 - \$35,000 = \$315,000 \)

Award 1 mark for the correct option A.

* Award 0 marks for option B: Incorrectly assumes the bonus issue was fully funded by Share Premium (ignoring the shortage of \( \$5,000 \)).
* Award 0 marks for option C: Incorrectly assumes the entire bonus issue of \( \$60,000 \) was funded from Retained Earnings.
* Award 0 marks for option D: Incorrectly ignores both the dividend payment and the bonus issue adjustment.

1. **Premium on redemption of shares**:
* Premium amount = \( 100,000 \text{ shares} \times \$0.30 = \$30,000 \)
* Since these shares were originally issued at par, the premium on redemption cannot be written off against the Share Premium account and must be fully written off against Retained Earnings.
* Retained earnings decreases by \( \$30,000 \).

2. **Transfer to Capital Redemption Reserve (CRR)**:
* Nominal value of ordinary shares redeemed = \( 100,000 \times \$1.00 = \$100,000 \)
* Proceeds of the fresh issue of preference shares = \( 50,000 \times \$1.00 = \$50,000 \)
* Transfer required to CRR = Nominal value of redeemed shares \( - \) Proceeds of fresh issue = \( \$100,000 - \$50,000 = \$50,000 \).
* This must be transferred from Retained Earnings to the CRR.
* Retained earnings decreases by \( \$50,000 \).

3. **Total reduction in Retained Earnings**:
* \( \$30,000 \text{ (redemption premium)} + \$50,000 \text{ (CRR transfer)} = \$80,000 \).

4. **Remaining Retained Earnings**:
* \( \$450,000 \text{ (opening)} - \$80,000 = \$370,000 \).

Award 1 mark for the correct option A.

* Option B (\( \$400,000 \)) is incorrect as it only deducts the transfer to CRR or the redemption premium.
* Option C (\( \$320,000 \)) is incorrect as it deducts the full redemption cost of \( \$130,000 \) without adjusting for the fresh issue's contribution to CRR.
* Option D (\( \$350,000 \)) is incorrect as it deducts the full nominal value of redeemed shares directly from retained earnings without accounting for the fresh issue or premium.

1. **Determine Monthly Production Requirements**:
* January: \( 4,000 \text{ units} \times 3 \text{ kg} = 12,000 \) kg
* February: \( 5,000 \text{ units} \times 3 \text{ kg} = 15,000 \) kg
* March: \( 6,000 \text{ units} \times 3 \text{ kg} = 18,000 \) kg
* April: \( 5,500 \text{ units} \times 3 \text{ kg} = 16,500 \) kg

2. **Determine Budgeted Stock levels**:
* January Closing Stock (Feb Opening Stock) = \( 20\% \times 15,000 = 3,000 \) kg
* February Closing Stock (March Opening Stock) = \( 20\% \times 18,000 = 3,600 \) kg
* March Closing Stock = \( 20\% \times 16,500 = 3,300 \) kg

3. **Determine Budgeted Purchases**:
* **February Purchases** = Usage + Closing Stock \( - \) Opening Stock = \( 15,000 + 3,600 - 3,000 = 15,600 \) kg
* Cost of February Purchases = \( 15,600 \times \$5 = \$78,000 \)
* **March Purchases** = Usage + Closing Stock \( - \) Opening Stock = \( 18,000 + 3,300 - 3,600 = 17,700 \) kg
* Cost of March Purchases = \( 17,700 \times \$5 = \$88,500 \)

4. **Calculate Cash Payments in March**:
* **From February Purchases (40% unpaid)**: \( \$78,000 \times 40\% = \$31,200 \)
* **From March Purchases (60% paid with 2% discount)**: \( \$88,500 \times 60\% \times (1 - 0.02) = \$53,100 \times 0.98 = \$52,038 \)
* **Total Budgeted Cash Payment in March** = \( \$31,200 + \$52,038 = \$83,238 \).

Award 1 mark for the correct option A.

* Option B is incorrect because it fails to apply the 2% discount (i.e., \( \$31,200 + \$53,100 = \$84,300 \)).
* Option C is incorrect because it calculates the purchases on simple production usage ignoring the opening/closing inventory policy.
* Option D is incorrect due to general calculation mistakes in the stock adjustments.

1. **Identify the Standard Input Proportions**:
* Total standard input for 100 units = \( 120 \text{ kg (X)} + 80 \text{ kg (Y)} = 200 \) kg
* Standard Mix ratio: X = 60%, Y = 40%

2. **Standard input required for actual output (4,500 units)**:
* Standard Quantity (SQ) = \( 4,500 \times \frac{200 \text{ kg}}{100 \text{ units}} = 9,000 \) kg

3. **Actual total input used**:
* Actual Quantity (AQ) = \( 5,600 \text{ kg (X)} + 3,200 \text{ kg (Y)} = 8,800 \) kg

4. **Calculate Standard Weighted Average Price (SWAP) per kg**:
* Standard cost of standard mix (200 kg) = \( (120 \times \$4.00) + (80 \times \$6.00) = \$480 + \$480 = \$960 \)
* SWAP = \( \frac{\$960}{200 \text{ kg}} = \$4.80 \) per kg

5. **Calculate Material Yield Variance**:
* Yield Variance = \( (\text{Total AQ} - \text{Total SQ}) \times \text{SWAP} \)
* Yield Variance = \( (8,800 \text{ kg} - 9,000 \text{ kg}) \times \$4.80 = -200 \text{ kg} \times \$4.80 = \$960 \text{ Favorable} \)
* It is Favorable because the total actual input (8,800 kg) is less than the total standard input required (9,000 kg).

Award 1 mark for the correct option A.

* Option B is incorrect as it states the variance is Adverse instead of Favorable.
* Options C and D are incorrect because they fail to weight the average price correctly or use incorrect standard proportions.

1. **Calculate current annual profit**:
* Current contribution per unit = \( \$20 - \$12 = \$8 \)
* Current total contribution = \( 10,000 \text{ units} \times \$8 = \$80,000 \)
* Current annual profit = Total contribution \( - \) Fixed costs = \( \$80,000 - \$50,000 = \$30,000 \)

2. **Identify new parameters with the machine**:
* New variable cost per unit = \( \$12 - \$2 = \$10 \)
* New contribution per unit = \( \$20 - \$10 = \$10 \)
* New annual fixed costs = \( \$50,000 + \$16,000 = \$66,000 \)
* Target profit = \( \$30,000 \) (same as current)

3. **Calculate required new level of sales**:
* Required sales (units) = \( \frac{\text{New Fixed Costs} + \text{Target Profit}}{\text{New Contribution per unit}} \)
* Required sales (units) = \( \frac{\$66,000 + \$30,000}{\$10} = \frac{\$96,000}{\$10} = 9,600 \) units.

Award 1 mark for the correct option A.

* Option B (10,000 units) is incorrect as it is just the current level of sales.
* Option C (12,000 units) is incorrect because it uses the old contribution margin of \( \$8 \) with the new fixed costs (\( \frac{\$96,000}{\$8} = 12,000 \) units).
* Option D (8,000 units) is incorrect because it ignores the increase in fixed costs (\( \frac{\$80,000}{\$10} = 8,000 \) units).

1. **Adjust capital accounts for revaluation surplus**:
* Surplus of \( \$30,000 \) shared in the old ratio of 3:2:
* M: \( \$30,000 \times 3/5 = \$18,000 \)
* N: \( \$30,000 \times 2/5 = \$12,000 \)

2. **Adjust capital accounts for Goodwill**:
* Credit existing partners in old ratio (3:2):
* M: \( \$50,000 \times 3/5 = +\$30,000 \)
* N: \( \$50,000 \times 2/5 = +\$20,000 \)
* Debit all partners in new ratio (2:2:1):
* M: \( \$50,000 \times 2/5 = -\$20,000 \)
* N: \( \$50,000 \times 2/5 = -\$20,000 \)
* O: \( \$50,000 \times 1/5 = -\$10,000 \)
* Net Goodwill adjustment to Capital accounts:
* M: \( +\$10,000 \)
* N: \( \$0 \)
* O: \( -\$10,000 \)

3. **Calculate M and N's Adjusted Capital balances**:
* M's final capital = \( \$120,000 \text{ (opening)} + \$18,000 \text{ (revaluation)} + \$10,000 \text{ (goodwill)} = \$148,000 \)
* N's final capital = \( \$80,000 \text{ (opening)} + \$12,000 \text{ (revaluation)} + \$0 \text{ (goodwill)} = \$92,000 \)
* Combined capital of M and N = \( \$148,000 + \$92,000 = \$240,000 \)

4. **Calculate O's Cash Contribution**:
* Since M and N's capital accounts represent 4/5ths of the total capital of the new firm:
* Total Capital of the new firm = \( \$240,000 / (4/5) = \$300,000 \)
* O's final capital balance (1/5th share) = \( 1/5 \times \$300,000 = \$60,000 \)
* Since O's capital balance is debited with \( \$10,000 \) for goodwill write-off:
* O's Cash introduced \( - \$10,000 = \$60,000 \)
* Cash introduced by O = \( \$70,000 \).

Award 1 mark for the correct option A.

* Option B is incorrect because it confuses O's final capital balance (\( \$60,000 \)) with the required cash introduction.
* Option C is incorrect as it represents incorrect calculations of goodwill and revaluation adjustments.
* Option D is incorrect as it represents incorrect ratios applied to Goodwill adjustment.

(a) Statement of Changes in Equity for Vanguard plc for the year ended 31 March 2023:

- Opening Balances (1 April 2022):
* Ordinary Shares: $400,000
* Share Premium: $80,000
* Revaluation Reserve: $60,000
* Retained Earnings: $125,000
* Total: $665,000

- Bonus Issue (1 June 2022):
* Shares held: 800,000 shares ($400,000 / $0.50)
* Bonus shares: 200,000 shares (1 for 4)
* Value of bonus shares: 200,000 * $0.50 = $100,000
* Funded by: Share Premium $80,000 and Revaluation Reserve $20,000
* Ordinary Shares: +$100,000
* Share Premium: -$80,000
* Revaluation Reserve: -$20,000
* Net change: $0

- Rights Issue (1 December 2022):
* Shares held: 1,000,000 shares
* Rights shares: 200,000 shares (1 for 5)
* Capital raised: 200,000 * $0.75 = $150,000
* Ordinary Shares: 200,000 * $0.50 = +$100,000
* Share Premium: 200,000 * $0.25 = +$50,000
* Net change: +$150,000

- Profit for the Year (calculated in b):
* Retained Earnings: +$108,500
* Net change: +$108,500

- Dividend Paid (1 February 2023):
* Shares held: 1,200,000 shares
* Dividend: 1,200,000 * $0.05 = $60,000
* Retained Earnings: -$60,000
* Net change: -$60,000

- Revaluation of Land:
* Revaluation Reserve: +$45,000
* Net change: +$45,000

- Closing Balances (31 March 2023):
* Ordinary Shares: $600,000
* Share Premium: $50,000
* Revaluation Reserve: $85,000 ($60,000 - $20,000 + $45,000)
* Retained Earnings: $173,500 ($125,000 + $108,500 - $60,000)
* Total Equity: $908,500

(b) Note showing the calculation of the profit for the year:
- Profit before interest and tax: $135,000
- Less: Debenture Interest ($150,000 * 6% * 6/12): ($4,500)
- Profit before tax: $130,500
- Less: Income tax: ($22,000)
- Profit for the year: $108,500

(c) Differences between ordinary shares and debentures:
1. Ordinary shares represent equity/ownership in the company, whereas debentures represent long-term debt/loans.
2. Ordinary shareholders receive dividends (variable and discretionary), whereas debenture holders receive interest (fixed and mandatory).
3. Debenture interest is an expense deducted before tax, while dividends are paid out of post-tax profits.
4. Ordinary shares have voting rights, while debentures do not have voting rights.
5. In the event of winding up, debenture holders are paid back before ordinary shareholders.

(a) Statement of Changes in Equity (14 marks):
- Opening Balances: 1 mark for all correct.
- Bonus Issue: 4 marks (1 mark for Ordinary Shares +$100,000, 2 marks for Share Premium -$80,000, 1 mark for Revaluation Reserve -$20,000).
- Rights Issue: 3 marks (1 mark for Ordinary Shares +$100,000, 1 mark for Share Premium +$50,000, 1 mark for Total +$150,000).
- Profit for the year: 2 marks for correct inclusion of $108,500 in Retained Earnings (of which 1 mark is for calculation/carry forward).
- Dividends: 2 marks (1 mark for calculation of $60,000, 1 mark for negative entry in Retained Earnings).
- Revaluation: 1 mark for +$45,000 in Revaluation Reserve.
- Closing Balances: 1 mark for all closing totals correct.

(b) Calculation of Profit (4.5 marks):
- Profit before interest and tax: $135,000 (given)
- Debenture interest: 2.5 marks (1 mark for rate, 1 mark for time-apportionment 6/12, 0.5 marks for subtraction).
- Profit before tax: $130,500
- Income tax: 1 mark (0.5 marks for entry, 0.5 marks for subtraction).
- Profit for the year: $108,500 (accuracy mark).

(c) Differences (4 marks):
- 1 mark for each of the 4 distinct and correct differences stated (max 4 marks).

(a) Variances Calculations:
(i) Direct Materials:
- Material Price Variance = (Standard Price - Actual Price) * Actual Quantity
* Actual Price (AP) = $101,400 / 13,000 kg = $7.80 per kg
* Price Variance = ($8.00 - $7.80) * 13,000 kg = $2,600 (F)
- Material Usage Variance = (Standard Quantity for Actual Production - Actual Quantity) * Standard Price
* Standard Quantity (SQ) = 3,200 units * 4 kg = 12,800 kg
* Usage Variance = (12,800 kg - 13,000 kg) * $8.00 = $1,600 (A)

(ii) Direct Labour:
- Labour Rate Variance = (Standard Rate - Actual Rate) * Actual Hours
* Actual Rate (AR) = $95,160 / 7,800 hours = $12.20 per hour
* Rate Variance = ($12.00 - $12.20) * 7,800 hours = $1,560 (A)
- Labour Efficiency Variance = (Standard Hours for Actual Production - Actual Hours) * Standard Rate
* Standard Hours (SH) = 3,200 units * 2.5 hours = 8,000 hours
* Efficiency Variance = (8,000 hours - 7,800 hours) * $12.00 = $2,400 (F)

(iii) Variable Overhead:
- VOH Expenditure Variance = (Actual Hours * Standard Rate) - Actual VOH Cost
* Standard Cost for Actual Hours = 7,800 hours * $4.00 = $31,200
* Expenditure Variance = $31,200 - $32,500 = $1,300 (A)
- VOH Efficiency Variance = (Standard Hours - Actual Hours) * Standard Rate
* Efficiency Variance = (8,000 hours - 7,800 hours) * $4.00 = $800 (F)

(iv) Sales Price Variance:
- Sales Price Variance = Actual Revenue - (Actual Units * Standard Selling Price)
* Expected Revenue = 3,200 units * $95.00 = $304,000
* Price Variance = $307,200 - $304,000 = $3,200 (F)

(b) Reconciliation Statement for May 2023:

Standard Contribution of Actual Sales (3,200 units * $23.00) = $73,600

Favourable Variances:
- Sales Price Variance: $3,200
- Material Price Variance: $2,600
- Labour Efficiency Variance: $2,400
- VOH Efficiency Variance: $800
Total Favourable = $9,000

Adverse Variances:
- Material Usage Variance: $1,600
- Labour Rate Variance: $1,560
- VOH Expenditure Variance: $1,300
Total Adverse = $4,460

Net Variance = $4,540 (F)
Actual Contribution = $78,140

Check actual contribution: Revenue ($307,200) - Materials ($101,400) - Labour ($95,160) - VOH ($32,500) = $78,140 (reconciled).

(c) Limitations of standard costing:
1. In modern JIT (Just-In-Time) manufacturing, variances are of little value as inventory levels are minimal and quality and speed of delivery are prioritised over short-term price savings.
2. Standard costing assumes a stable environment, which is not true for dynamic and automated lines where labor is fixed rather than variable.
3. Setting standards can be time-consuming, and outdated standards lead to misleading variance analysis reports.

(a) Variances (14 marks):
- (i) Material Price Variance: 2 marks (1 mark for formula/working, 1 mark for correct amount and 'F').
- Material Usage Variance: 2 marks (1 mark for SQ working, 1 mark for correct amount and 'A').
- (ii) Labour Rate Variance: 2 marks (1 mark for AR working, 1 mark for correct amount and 'A').
- Labour Efficiency Variance: 2 marks (1 mark for SH working, 1 mark for correct amount and 'F').
- (iii) VOH Expenditure Variance: 2 marks (1 mark for working, 1 mark for correct amount and 'A').
- VOH Efficiency Variance: 2 marks (1 mark for working, 1 mark for correct amount and 'F').
- (iv) Sales Price Variance: 2 marks (1 mark for working, 1 mark for correct amount and 'F').

(b) Reconciliation Statement (5.5 marks):
- Standard Contribution calculation ($73,600): 1.5 marks
- Listing Favourable variances correctly: 1 mark
- Listing Adverse variances correctly: 1 mark
- Net Variance calculation ($4,540 F): 1 mark
- Actual Contribution ($78,140): 1 mark

(c) Limitations (3 marks):
- 1 mark per valid limitation of standard costing in modern manufacturing (max 3 marks).

(a) Revaluation Account on 1 July 2023:

Debit ($)
- Inventory write-down: $6,000
- Share of profit on revaluation (to Capital Accounts):
* Abe (3/6): $12,000
* Ben (2/6): $8,000
* Carl (1/6): $4,000
Total Debit: $30,000

Credit ($)
- Non-current assets: $30,000
Total Credit: $30,000

(b) Capital Accounts (columnar format):

Debit:
- Current Account transfer (Carl): Carl $2,000
- Goodwill write-off (New ratio 4:3:2:1):
* Abe: $36,000
* Ben: $27,000
* Carl: $18,000
* Dan: $9,000
- Balance c/d (Closing balances):
* Abe: $153,000
* Ben: $97,000
* Carl: $39,000
* Dan: $30,000

Credit:
- Balance b/f (Opening balances):
* Abe: $120,000
* Ben: $80,000
* Carl: $40,000
* Dan: $0
- Revaluation profit:
* Abe: $12,000
* Ben: $8,000
* Carl: $4,000
- Current Account transfer (Abe & Ben):
* Abe: $12,000
* Ben: $6,000
- Goodwill creation (Old ratio 3:2:1):
* Abe: $45,000
* Ben: $30,000
* Carl: $15,000
- Cash (Dan's Capital contribution):
* Dan: $39,000 (Calculated as closing balance $30,000 + goodwill debit $9,000 = $39,000. Remaining $11,000 from $50,000 is treated as a loan).

Totals (Dr & Cr):
- Abe: $189,000
- Ben: $124,000
- Carl: $59,000
- Dan: $39,000

(c) Advantages of being in a partnership vs sole trader:
1. Access to more capital because there are multiple owners contributing resources.
2. Sharing of business risks and financial losses among partners.
3. Greater division of labor and specialisation of skills/expertise.
4. Shared responsibility in daily operations and management, reducing workload and stress.
5. Continuance of business operations when one partner is ill or absent.

(a) Revaluation Account (4 marks):
- 1 mark for debiting Inventory $6,000.
- 1 mark for crediting Non-current assets $30,000.
- 1 mark for calculating correct total profit on revaluation $24,000.
- 1 mark for dividing profits in old ratio (Abe $12,000, Ben $8,000, Carl $4,000).

(b) Capital Accounts (13.5 marks):
- 1 mark for opening balances.
- 1.5 marks for crediting revaluation profits (0.5 marks each).
- 2 marks for current account transfers (including Carl on the debit side).
- 3 marks for crediting goodwill in old profit-sharing ratio (1 mark each).
- 4 marks for debiting goodwill in new profit-sharing ratio (1 mark each).
- 1 mark for Dan's cash capital contribution of $39,000.
- 1 mark for closing balances (all correct).

(c) Advantages (5 marks):
- 1 mark for each of the five advantages stated clearly (max 5 marks).

(a) Production Budget (in units):
- July:
* Budgeted Sales: 5,000 units
* Add: Closing Inventory (20% of August Sales): 1,200 units
* Less: Opening Inventory (20% of July Sales): (1,000) units
* Production: 5,200 units

- August:
* Budgeted Sales: 6,000 units
* Add: Closing Inventory (20% of September Sales): 1,400 units
* Less: Opening Inventory (20% of August Sales): (1,200) units
* Production: 6,200 units

- September:
* Budgeted Sales: 7,000 units
* Add: Closing Inventory (20% of October Sales): 1,100 units
* Less: Opening Inventory (20% of September Sales): (1,400) units
* Production: 6,700 units

(b) Raw Material Purchases Budget:
- First, find raw material requirements for production (3 kg per unit):
* July: 5,200 units * 3 kg = 15,600 kg
* August: 6,200 units * 3 kg = 18,600 kg
* September: 6,700 units * 3 kg = 20,100 kg

- July Purchases:
* Production requirement: 15,600 kg
* Add: Closing Inventory (10% of August requirement): 1,860 kg
* Less: Opening Inventory (10% of July requirement): (1,560) kg
* Total Purchases (kg): 15,900 kg
* Total Purchases ($ @ $4 per kg): 15,900 * $4 = $63,600

- August Purchases:
* Production requirement: 18,600 kg
* Add: Closing Inventory (10% of September requirement): 2,010 kg
* Less: Opening Inventory (10% of August requirement): (1,860) kg
* Total Purchases (kg): 18,750 kg
* Total Purchases ($ @ $4 per kg): 18,750 * $4 = $75,000

(c) Cash Budget for July and August 2024:

Cash Receipts from Sales:
- Total Sales Values: May $190,000, June $200,000, July $250,000, August $300,000
- July Receipts:
* From May (8%): $190,000 * 8% = $15,200
* From June (50%): $200,000 * 50% = $100,000
* From July (40% * 98%): $250,000 * 39.2% = $98,000
* Total July Receipts: $213,200
- August Receipts:
* From June (8%): $200,000 * 8% = $16,000
* From July (50%): $250,000 * 50% = $125,000
* From August (40% * 98%): $300,000 * 39.2% = $117,600
* Total August Receipts: $258,600

Cash Payments:
- Creditors (previous month's purchases):
* July: June Purchases = $52,000
* August: July Purchases = $63,600
- Direct Wages ($15 per unit produced):
* July: 5,200 units * $15 = $78,000
* August: 6,200 units * $15 = $93,000
- Variable Overhead ($5 per unit produced):
* July: 5,200 units * $5 = $26,000
* August: 6,200 units * $5 = $31,000
- Cash Fixed Overhead ($38,000 - $12,000 depreciation):
* July: $26,000
* August: $26,000
- Total July Payments: $182,000
- Total August Payments: $213,600

Net Cash Flow:
- July: $213,200 - $182,000 = +$31,200
- August: $258,600 - $213,600 = +$45,000

Bank Balance:
- July Opening: $18,500
- July Closing: $18,500 + $31,200 = $49,700
- August Opening: $49,700
- August Closing: $49,700 + $45,000 = $94,700

(d) Advantages of budgeting:
1. Planning: Encourages planning for future goals and anticipating potential problems.
2. Coordination: Brings different departments together to align targets (e.g., sales and production).
3. Control and performance appraisal: Provides clear benchmarks to analyze actual results through variances.

(a) Production Budget (5 marks):
- July: 2 marks (1 mark for closing/opening adjustment, 1 mark for correct 5,200 units).
- August: 1.5 marks (1 mark for formula, 0.5 marks for correct 6,200 units).
- September: 1.5 marks (1 mark for formula, 0.5 marks for correct 6,700 units).

(b) Purchases Budget (6 marks):
- Converting production to materials required (3 kg): 1.5 marks
- July Purchases working and results: 2.5 marks (1 mark for closing/opening adjustment, 1 mark for 15,900 kg, 0.5 marks for $63,600).
- August Purchases working and results: 2 marks (1 mark for 18,750 kg, 1 mark for $75,000).

(c) Cash Budget (8.5 marks):
- July Receipts: 2.5 marks (including May and June collections and July discount application).
- August Receipts: 2 marks (including June, July and August collections).
- July Payments: 2 marks (0.5 marks for each element, noting depreciation is excluded from fixed overhead).
- August Payments: 1 mark (all elements correct).
- Net cash flows: 0.5 marks (0.25 marks per month).
- Opening/Closing balances: 0.5 marks (0.25 marks per month).

(d) Advantages (3 marks):
- 1 mark for each of the three advantages explained (max 3 marks).

(a) Realisation Account
Debits:
- Premises: $120,000
- Equipment: $45,000
- Inventory: $28,000
- Trade Receivables: $22,000
- Dissolution costs: $3,000
Total Debits = $218,000

Credits:
- Vandermere Ltd (Purchase Consideration): $260,000
- Discount on Trade Payables ($15,000 - $14,200): $800
Total Credits = $260,800

Profit on Realisation = $260,800 - $218,000 = $42,800
Shared as:
- Alistair (3/5): $25,680
- Beatrice (2/5): $17,120

(b) Partners' Capital Accounts
Alistair:
- Opening Balance Cr: $120,000
- Realisation Profit Cr: $25,680
- Shares in Vandermere Ltd Dr: $108,000 (72,000 shares * $1.50)
- Cash (final settlement) Dr: $37,680

Beatrice:
- Opening Balance Cr: $88,000
- Realisation Profit Cr: $17,120
- Shares in Vandermere Ltd Dr: $72,000 (48,000 shares * $1.50)
- Cash (final settlement) Dr: $33,120

(c) Share and Cash Allocation
Total shares = 120,000 shares.
- Alistair (3/5): 72,000 shares (Value = $108,000)
- Beatrice (2/5): 48,000 shares (Value = $72,000)

Total cash from Vandermere Ltd = $260,000 - $180,000 = $80,000.
Partnership Bank Account:
- Opening Balance: $8,000
- Add: Cash from Vandermere Ltd: $80,000
- Less: Trade Payables settled: ($14,200)
- Less: Dissolution costs: ($3,000)
Net cash to distribute = $70,800
Distributed as:
- Alistair: $37,680
- Beatrice: $33,120

(d) Advantages and Disadvantages
Advantages:
1. Limited liability protects partners' personal assets.
2. Easier to raise capital by issuing shares.
Disadvantages:
1. More administrative and legal compliance requirements.
2. Financial information becomes public.

(a) Realisation Account [8 marks]
- Assets debited at book value: Premises, Equipment, Inventory, Trade Receivables (2 marks, 0.5 each)
- Dissolution costs debited (1 mark)
- Purchase consideration credited (1 mark)
- Discount on payables credited (1 mark)
- Profit calculation of $42,800 (1 mark)
- Allocation of profit (3:2) to Alistair ($25,680) and Beatrice ($17,120) (2 marks, 1 each)

(b) Capital Accounts [9 marks]
- Opening balances credited (1 mark)
- Realisation profit credited (2 marks, 1 each)
- Shares debited at value ($108,000 & $72,000) (2 marks, 1 each)
- Cash settlement balances computed correctly (2 marks, 1 each)
- Double-entry balancing (2 marks)

(c) Allocation of Shares and Cash [4 marks]
- Correct share distribution (72,000 and 48,000 shares) (2 marks)
- Correct cash distribution ($37,680 and $33,120) (2 marks)

(d) Advantages and Disadvantages [4 marks]
- 2 marks for two valid advantages (1 mark each)
- 2 marks for two valid disadvantages (1 mark each)

(a) Reconciliation of Operating Profit to Cash Generated from Operations
Operating Profit: $82,000
Adjustments for:
- Depreciation: +$46,000
- Goodwill amortisation ($55,000 - $40,000): +$15,000
- Loss on disposal of equipment ($34,000 - $29,000): +$5,000
- Increase in inventory ($51,000 to $62,000): -$11,000
- Decrease in trade receivables ($49,000 to $44,000): +$5,000
- Decrease in trade payables ($63,000 to $56,000): -$7,000
Cash generated from operations: $135,000

(b) Statement of Cash Flows for the year ended 31 December 2023
Cash flows from operating activities:
Cash generated from operations: $135,000
Interest paid ($4,000 + $5,000 - $2,000): ($7,000)
Tax paid ($64,000 + $28,000 - $37,000): ($55,000)
Net cash from operating activities: $73,000

Cash flows from investing activities:
Proceeds from sale of PPE: $29,000
Purchase of PPE: ($135,000)
*PPE Ledger: Opening $410,000 + Revaluation surplus $20,000 - Depreciation $46,000 - Disposal CV $34,000 + Purchase = Closing $485,000. Purchase = $135,000
Net cash from investing activities: ($106,000)

Cash flows from financing activities:
Proceeds from issue of shares ($50,000 + $25,000): $75,000
Redemption of debentures ($80,000 - $50,000): ($30,000)
Dividends paid: ($31,000)
Net cash from financing activities: $14,000

Net decrease in cash and cash equivalents: ($19,000)
Cash and cash equivalents at start of year: $23,000
Cash and cash equivalents at end of year: $4,000

(c) Cash Evaluation
Although cash decreased by $19,000, Delphi PLC had strong operating cash inflows of $73,000. The decrease is due to major capital expenditure on PPE ($135,000) and repayment of long-term debt ($30,000), which should improve future profitability and reduce future gearing.

(a) Reconciliation [10 marks]
- Operating profit $82,000 (1 mark)
- Depreciation adjustment (1 mark)
- Goodwill amortisation adjustment (1 mark)
- Loss on sale adjustment (2 marks: 1 for calculation, 1 for adding back)
- Inventory adjustment (1 mark)
- Receivables adjustment (1 mark)
- Payables adjustment (1 mark)
- Correct total cash generated from operations of $135,000 (2 marks)

(b) Statement of Cash Flows [11 marks]
- Interest paid calculation and subtraction (1 mark)
- Tax paid calculation and subtraction (1 mark)
- Correct net cash from operating activities (1 mark)
- Sale of PPE proceeds (1 mark)
- Correct purchase of PPE calculation (3 marks)
- Share issue cash inflow (1 mark)
- Debenture repayment outflow (1 mark)
- Dividends paid outflow (1 mark)
- Correct net change and reconciliation to opening/closing cash (1 mark)

(c) Evaluation [4 marks]
- Identifies operating cash flow is positive and strong (1 mark)
- Identifies that decrease is due to long-term investing/financing actions (1 mark)
- Explains impact of PPE investment or debt reduction on future viability (1 mark)
- Conclusion on whether cash management was successful (1 mark)

(a) Revaluation Account
Debits:
- Equipment write-down ($80,000 - $72,000): $8,000
- Provision for doubtful debts (5% of $38,000): $1,900
- Inventory write-down: $3,000
Credits:
- Premises appreciation ($280,000 - $220,000): $60,000
Net Revaluation Profit = $60,000 - $12,900 = $47,100
Allocation:
- X (5/10): $23,550
- Y (3/10): $14,130
- Z (2/10): $9,420

(b) Capital Accounts
X Capital:
- Dr: Goodwill write-off: $40,000 ($90,000 * 4/9)
- Dr: Cash withdrawal (balancing figure): $30,550
- Dr: Balance c/d: $160,000
- Cr: Opening Balance: $150,000
- Cr: Current Account Transfer: $12,000
- Cr: Revaluation profit: $23,550
- Cr: Goodwill share: $45,000 ($90,000 * 5/10)

Y Capital:
- Dr: Goodwill write-off: $27,000 ($90,000 * 3/9)
- Dr: Cash withdrawal (balancing figure): $22,130
- Dr: Balance c/d: $120,000
- Cr: Opening Balance: $120,000
- Cr: Current Account Transfer: $8,000
- Cr: Revaluation profit: $14,130
- Cr: Goodwill share: $27,000 ($90,000 * 3/10)

Z Capital:
- Dr: Current Account Transfer (Dr balance): $5,000
- Dr: Bank (Cash paid): $30,000
- Dr: Z Loan account (balancing figure): $72,420
- Cr: Opening Balance: $80,000
- Cr: Revaluation profit: $9,420
- Cr: Goodwill share: $18,000 ($90,000 * 2/10)

W Capital:
- Dr: Goodwill write-off: $18,000 ($90,000 * 2/9)
- Dr: Balance c/d: $80,000
- Cr: Equipment introduced: $15,000
- Cr: Cash introduced (balancing figure): $83,000

(c) Cash adjustments
- X: Withdraws $30,550
- Y: Withdraws $22,130

(d) Reasons for Fluctuating Capital System
1. Simplicity as all transactions are recorded in a single account per partner.
2. Easier to see the total equity owned by each partner at a glance.
3. Avoids maintaining separate current accounts.

(a) Revaluation Account [6 marks]
- Equipment and Inventory write-downs debited (1 mark)
- Provision for doubtful debts debited (1 mark)
- Premises appreciation credited (1 mark)
- Net profit calculated correctly (1 mark)
- Allocation to X, Y, Z in 5:3:2 (2 marks)

(b) Capital Accounts [14 marks]
- Opening balances and current account transfers (2 marks)
- Revaluation profit credited (2 marks)
- Goodwill shares credited (2 marks)
- Goodwill write-offs debited (2 marks)
- Z's payment of $30,000 and loan of $72,420 correctly handled (2 marks)
- W's equipment and cash contributions (2 marks)
- Balances c/d match target capitals of $160,000, $120,000, $80,000 (2 marks)

(c) Cash calculations [2 marks]
- 1 mark for X cash withdrawal calculation of $30,550
- 1 mark for Y cash withdrawal calculation of $22,130

(d) Fluctuating capitals theory [3 marks]
- 1 mark for each valid reason up to a maximum of 3 marks.

### Part (a): Cash Budget for October, November and December

**1. Receipts from Credit Customers:**
- **August Sales (900 units \(\times\) $80 = $72,000):**
- October Receipts (8%): $72,000 \(\times\) 8% = $5,760
- **September Sales (1,000 units \(\times\) $80 = $80,000):**
- October Receipts (50%): $80,000 \(\times\) 50% = $40,000
- November Receipts (8%): $80,000 \(\times\) 8% = $6,400
- **October Sales (1,200 units \(\times\) $80 = $96,000):**
- October Receipts (40% less 2% discount): $96,000 \(\times\) 40% \(\times\) 98% = $37,632
- November Receipts (50%): $96,000 \(\times\) 50% = $48,000
- December Receipts (8%): $96,000 \(\times\) 8% = $7,680
- **November Sales (1,500 units \(\times\) $80 = $120,000):**
- November Receipts (40% less 2% discount): $120,000 \(\times\) 40% \(\times\) 98% = $47,040
- December Receipts (50%): $120,000 \(\times\) 50% = $60,000
- **December Sales (1,800 units \(\times\) $80 = $144,000):**
- December Receipts (40% less 2% discount): $144,000 \(\times\) 40% \(\times\) 98% = $56,448

| Receipts Summary | October ($) | November ($) | December ($) |
| --- | --- | --- | --- |
| August Sales (8%) | 5,760 | - | - |
| September Sales | 40,000 | 6,400 | - |
| October Sales | 37,632 | 48,000 | 7,680 |
| November Sales | - | 47,040 | 60,000 |
| December Sales | - | - | 56,448 |
| **Total Receipts** | **83,392** | **101,440** | **124,128** |

**2. Payments:**
- **Direct Materials Purchases:**
- Paid one month after purchase (purchased in month of production, which is one month before sales).
- September Production (for October sales = 1,200 units): 1,200 \(\times\) 3 kg \(\times\) $5 = $18,000 (paid in October)
- October Production (for November sales = 1,500 units): 1,500 \(\times\) 3 kg \(\times\) $5 = $22,500 (paid in November)
- November Production (for December sales = 1,800 units): 1,800 \(\times\) 3 kg \(\times\) $5 = $27,000 (paid in December)
- December Production (for January sales = 1,400 units): Paid in January.
- **Direct Labour (paid in month of production):**
- October Production (1,500 units \(\times\) 2 hours \(\times\) $12) = $36,000
- November Production (1,800 units \(\times\) 2 hours \(\times\) $12) = $43,200
- December Production (1,400 units \(\times\) 2 hours \(\times\) $12) = $33,600
- **Variable Overheads (paid in month of production):**
- October: 1,500 units \(\times\) $4 = $6,000
- November: 1,800 units \(\times\) $4 = $7,200
- December: 1,400 units \(\times\) $4 = $5,600
- **Fixed Overheads (excluding depreciation):**
- $15,000 - $3,000 = $12,000 per month.
- **Machine Purchase:**
- October: 40% of $25,000 = $10,000
- December: 60% of $25,000 = $15,000
- **Loan Repayments & Interest:**
- Interest rate = 1% on start-of-month outstanding balance.
- October: Loan repayment $2,000 + Interest (1% of $40,000 = $400) = $2,400
- November: Loan repayment $2,000 + Interest (1% of $38,000 = $380) = $2,380
- December: Loan repayment $2,000 + Interest (1% of $36,000 = $360) = $2,360

| Payments Summary | October ($) | November ($) | December ($) |
| --- | --- | --- | --- |
| Materials Purchases | 18,000 | 22,500 | 27,000 |
| Direct Labour | 36,000 | 43,200 | 33,600 |
| Variable Overheads | 6,000 | 7,200 | 5,600 |
| Cash Fixed Overheads | 12,000 | 12,000 | 12,000 |
| Machine Purchase | 10,000 | - | 15,000 |
| Loan Repay & Interest | 2,400 | 2,380 | 2,360 |
| **Total Payments** | **84,400** | **87,280** | **95,560** |

**3. Cash Budget Summary:**
| Cash Budget | October ($) | November ($) | December ($) |
| --- | --- | --- | --- |
| Opening Balance | 5,000 | 3,992 | 18,152 |
| Total Receipts | 83,392 | 101,440 | 124,128 |
| Total Payments | (84,400) | (87,280) | (95,560) |
| **Closing Balance** | **3,992** | **18,152** | **46,720** |

---

### Part (b): Budgeted Marginal Costing Income Statement for the three-month period ending 31 December

**1. Sales Revenue (4,500 units \(\times\) $80):** $360,000
**2. Variable Cost of Production:**
- Variable production cost per unit: Materials (3 kg \(\times\) $5) $15 + Labour (2 hrs \(\times\) $12) $24 + Variable overhead $4 = $43 per unit.
- Opening Inventory (1 October) = 1,200 units \(\times\) $43 = $51,600
- Variable Cost of Production (Oct to Dec: 1,500 + 1,800 + 1,400 = 4,700 units \(\times\) $43) = $202,100
- Less: Closing Inventory (31 December) = 1,400 units \(\times\) $43 = $60,200
- **Variable Cost of Sales** (4,500 units \(\times\) $43) = $193,500

**3. Sales Adjustments:**
- Cash Discount Allowed ($768 + $960 + $1,152) = $2,880
- Bad Debts Expense (2% of $360,000) = $7,200

**4. Contribution:**
- $360,000 (Revenue) - $193,500 (Var Cost of Sales) - $2,880 (Discounts) - $7,200 (Bad Debts) = **$156,420**

**5. Fixed Costs & Finance Charges:**
- Fixed Overheads (3 months \(\times\) $15,000) = $45,000
- Loan Interest ($400 + $380 + $360) = $1,140
- **Budgeted Net Profit** = $156,420 - $46,140 = **$110,280**

| Budgeted Income Statement | $ | $ |
| --- | --- | --- |
| Revenue | | 360,000 |
| Less: Variable Cost of Sales | (193,500) | |
| Less: Cash Discount Allowed | (2,880) | |
| Less: Bad Debts Expense | (7,200) | (203,580) |
| **Contribution** | | **156,420** |
| Less: Fixed Overheads | (45,000) | |
| Less: Loan Interest | (1,140) | (46,140) |
| **Budgeted Net Profit** | | **110,280** |

---

### Part (c): Evaluation of Budgeting

**Benefits:**
1. **Planning:** Forces management to look ahead, anticipate problems (such as temporary cash deficits), and plan resource requirements.
2. **Control:** Provides a quantitative benchmark/standard to compare actual results against, helping to perform variance analysis.
3. **Coordination:** Improves communication and coordination between different departments (e.g., ensuring production levels match sales requirements).

**Limitations:**
1. **Inaccuracy:** Budgets are based on estimates and forecasts; if actual economic or market conditions change drastically, the budgets may become irrelevant.
2. **Demotivation/Rigidity:** Strict adherence to rigid budgets can stifle innovation or cause conflict/demotivation if targets are set too high or if managers feel constrained from taking profitable opportunities.

### Part (a) Cash Budget [14 Marks]
- **Receipts:**
- October Receipts: $83,392 (3 marks: 1 mark for Sept, 1 mark for Oct, 1 mark for Aug)
- November Receipts: $101,440 (2 marks: 1 mark for Oct/Sept, 1 mark for Nov)
- December Receipts: $124,128 (2 marks: 1 mark for Oct/Nov, 1 mark for Dec)
- **Payments:**
- Materials Purchases: October $18,000, November $22,500, December $27,000 (1 mark for all three)
- Direct Labour: October $36,000, November $43,200, December $33,600 (1 mark for all three)
- Variable Overheads: October $6,000, November $7,200, December $5,600 (1 mark for all three)
- Cash Fixed Overheads: $12,000 per month (1 mark)
- Machine Purchase: October $10,000 & December $15,000 (1 mark)
- Loan Repayments & Interest: October $2,400, November $2,380, December $2,360 (1 mark)
- **Balances:**
- Net Cash Flows and Closing Balances calculated correctly (1 mark)

### Part (b) Budgeted Income Statement [6 Marks]
- Revenue: $360,000 (0.5 mark)
- Variable Cost of Sales: $193,500 (1.5 marks: 0.5 mark for opening inventory, 0.5 mark for production, 0.5 mark for closing inventory)
- Cash discount: $2,880 (1 mark)
- Bad debts: $7,200 (1 mark)
- Fixed overheads: $45,000 (1 mark: must include depreciation)
- Loan interest: $1,140 (0.5 mark)
- Budgeted Net Profit: $110,280 (0.5 mark)

### Part (c) Evaluation [5 Marks]
- 1 mark for each valid benefit (Max 3 marks)
- 1 mark for each valid limitation (Max 2 marks)

### Part (a): Variance Calculations

**(i) Sales Price Variance:**
- Actual sales revenue: $281,600
- Standard revenue for actual sales (2,200 units \(\times\) $130): $286,000
- **Sales Price Variance** = $286,000 - $281,600 = **$4,400 Adverse (A)**

**(ii) Sales Volume Variance (in profit):**
- Budgeted volume: 2,000 units
- Actual volume: 2,200 units
- Standard profit per unit = $130 - ($32 + $45 + $18) = $35.00
- **Sales Volume Variance** = (2,200 - 2,000) \(\times\) $35.00 = **$7,000 Favourable (F)**

**(iii) Direct Materials Price Variance:**
- Actual Quantity purchased and used (AQ) = 9,100 kg
- Actual Price paid (AP) = $70,980 / 9,100 kg = $7.80 per kg
- Standard Price (SP) = $8.00 per kg
- **Direct Materials Price Variance** = \(AQ \times (SP - AP)\)
- = 9,100 kg \(\times\) ($8.00 - $7.80) = **$1,820 Favourable (F)**

**(iv) Direct Materials Usage Variance:**
- Standard Quantity for actual production (SQ) = 2,200 units \(\times\) 4 kg = 8,800 kg
- Actual Quantity (AQ) = 9,100 kg
- **Direct Materials Usage Variance** = \((SQ - AQ) \times SP\)
- = (8,800 kg - 9,100 kg) \(\times\) $8.00 = **$2,400 Adverse (A)**

**(v) Direct Labour Rate Variance:**
- Actual hours worked (AH) = 6,400 hours
- Actual Rate paid (AR) = $99,200 / 6,400 hours = $15.50 per hour
- Standard Rate (SR) = $15.00 per hour
- **Direct Labour Rate Variance** = \(AH \times (SR - AR)\)
- = 6,400 hours \(\times\) ($15.00 - $15.50) = **$3,200 Adverse (A)**

**(vi) Direct Labour Efficiency Variance:**
- Standard hours for actual production (SH) = 2,200 units \(\times\) 3 hours = 6,600 hours
- Actual hours (AH) = 6,400 hours
- **Direct Labour Efficiency Variance** = \((SH - AH) \times SR\)
- = (6,600 hours - 6,400 hours) \(\times\) $15.00 = **$3,000 Favourable (F)**

**(vii) Fixed Overhead Expenditure Variance:**
- Budgeted Fixed Overhead = 2,000 units \(\times\) $18.00 = $36,000
- Actual Fixed Overhead = $37,500
- **Fixed Overhead Expenditure Variance** = Budgeted FO - Actual FO
- = $36,000 - $37,500 = **$1,500 Adverse (A)**

**(viii) Fixed Overhead Volume Variance:**
- Standard fixed overhead rate per unit = $18.00
- **Fixed Overhead Volume Variance** = (Actual production - Budgeted production) \(\times\) Standard rate
- = (2,200 units - 2,000 units) \(\times\) $18.00 = **$3,600 Favourable (F)**

---

### Part (b): Operating Statement

| Reconciliation | $ | $ |
| --- | --- | --- |
| **Budgeted Profit (2,000 units \(\times\) $35)** | | **70,000** |
| Sales Volume Variance | | 7,000 (F) |
| **Standard Profit on Actual Sales** | | **77,000** |
| **Variances:** | **Favourable ($)** | **Adverse ($)** |
| Sales Price | | 4,400 |
| Material Price | 1,820 | |
| Material Usage | | 2,400 |
| Labour Rate | | 3,200 |
| Labour Efficiency | 3,000 | |
| Fixed Overhead Expenditure | | 1,500 |
| Fixed Overhead Volume | 3,600 | |
| **Total Variances** | **8,420** | **11,500** |
| **Net Variance** | | **(3,080) Adverse** |
| **Actual Profit** | | **73,920** |

*Proof of Actual Profit:*
Revenue ($281,600) - Material ($70,980) - Labour ($99,200) - Fixed Overhead ($37,500) = **$73,920**

---

### Part (c): Discussion of Variances

**(i) Direct Material Variances:**
- The Favourable material price variance (purchased at $7.80 instead of $8.00) indicates the purchasing manager bought cheaper/lower-quality materials.
- This likely led to more waste, rejects, or poor material handling, causing the Adverse material usage variance (using 9,100 kg instead of 8,800 kg).

**(ii) Direct Labour Variances:**
- The Adverse labour rate variance (paid $15.50 instead of $15.00) indicates higher-skilled or more experienced employees were used.
- This higher-grade labour worked more quickly and efficiently than standard, causing the Favourable labour efficiency variance (taking 6,400 hours instead of 6,600 hours).

### Part (a) Variance Calculations [16 Marks]
- **(i) Sales Price Variance:** $4,400 Adverse (2 marks: 1 for calculation, 1 for direction)
- **(ii) Sales Volume Variance:** $7,000 Favourable (2 marks: 1 for calculation, 1 for direction)
- **(iii) Material Price Variance:** $1,820 Favourable (2 marks: 1 for calculation, 1 for direction)
- **(iv) Material Usage Variance:** $2,400 Adverse (2 marks: 1 for calculation, 1 for direction)
- **(v) Labour Rate Variance:** $3,200 Adverse (2 marks: 1 for calculation, 1 for direction)
- **(vi) Labour Efficiency Variance:** $3,000 Favourable (2 marks: 1 for calculation, 1 for direction)
- **(vii) Fixed Overhead Expenditure Variance:** $1,500 Adverse (2 marks: 1 for calculation, 1 for direction)
- **(viii) Fixed Overhead Volume Variance:** $3,600 Favourable (2 marks: 1 for calculation, 1 for direction)

### Part (b) Operating Statement [5 Marks]
- Correctly stating Budgeted Profit: $70,000 (1 mark)
- Correct addition of Sales Volume Variance to show Standard Profit on Actual Sales: $77,000 (1 mark)
- Grouping of Favourable Variances: $8,420 and Adverse Variances: $11,500 correctly (2 marks)
- Correct Actual Profit: $73,920 (1 mark)

### Part (c) Discussion of Variances [4 Marks]
- **(i) Materials:** 1 mark for connecting lower material price (Favourable) to lower quality/increased waste (Adverse usage); 1 mark for logical development.
- **(ii) Labour:** 1 mark for connecting higher hourly rate (Adverse) to hiring higher skilled workers; 1 mark for explaining that high-skill workers complete the work faster than standard (Favourable efficiency).