2023 Cambridge IAS-Level Accounting (9706) 模擬試題連答案詳解

According to IAS 10, proposed dividends are non-adjusting events and should not be recognized as a liability or a reduction in equity at the end of the reporting period. Therefore, they are ignored. The transfer to the general reserve is a reduction in retained earnings. The calculation is: Opening retained earnings ($120,000) + Profit for the year ($95,000) - Interim dividend paid ($20,000) - Transfer to general reserve ($30,000) = $165,000.

1 mark for the correct answer of B ($165,000). Reject A (subtracts proposed dividend), C (incorrectly handles reserve), and D (ignores reserve and proposed dividend).

The cash book balance must be adjusted for items on the bank statement that are not yet recorded. Unpresented cheques are reconciling items for the bank reconciliation statement, not the cash book itself. Starting overdraft balance: -$4,200. Subtract bank charges: -$120. Subtract direct debit: -$480. Subtract dishonoured cheque: -$350. Add credit transfer: +$800. Adjusted bank balance = -$4,200 - $120 - $480 - $350 + $800 = -$4,350 (overdraft of $4,350).

1 mark for the correct answer of B ($4,350 overdraft). Reject A (reversing signs), C (incorrectly incorporating unpresented cheques), and D (subtracting the credit transfer instead of adding).

First, calculate the predetermined overhead absorption rate (OAR): Budgeted Overheads / Budgeted Hours = $180,000 / 45,000 hours = $4.00 per hour. Next, calculate the absorbed overheads: Actual Hours \times OAR = 48,000 hours \times $4.00 = $192,000. Finally, compare with actual overheads: Actual Overheads ($195,000) - Absorbed Overheads ($192,000) = $3,000 under-absorbed.

1 mark for the correct calculation and direction of B ($3,000 under-absorbed). Reject A (over-absorbed), C (simple budget variance), and D (simple budget variance reversed).

The contribution per unit is calculated as: Selling Price - Variable Cost = $25 - $15 = $10 per unit. The required total contribution to cover fixed costs and achieve the target profit is: Fixed Costs + Target Profit = $60,000 + $30,000 = $90,000. Therefore, the required sales volume in units is: Required Contribution / Contribution per Unit = $90,000 / $10 = 9,000 units.

1 mark for the correct unit calculation of C (9,000 units). Reject A (using difference instead of sum), B (break-even volume without profit), and D (incorrect cost base).

Cost of goods available for sale = Opening inventory ($35,000) + Purchases ($135,000) = $170,000. Cost of sales = Sales / 1.25 = $180,000 / 1.25 = $144,000. Expected closing inventory before the fire = Cost of goods available for sale ($170,000) - Cost of sales ($144,000) = $26,000. Inventory destroyed = Expected closing inventory ($26,000) - Undamaged inventory ($6,000) = $20,000.

1 mark for the correct valuation of B ($20,000). Reject A (if margin of 25% is used on cost directly), C (if undamaged inventory is not subtracted), and D (if 25% gross profit margin is applied instead of mark-up).

Original cost on 1 Jan 2021 = $80,000. 2021 Depreciation = 20% of $80,000 = $16,000. NBV on 31 Dec 2021 = $64,000. 2022 Depreciation = 20% of $64,000 = $12,800. NBV on 31 Dec 2022 = $51,200. On 1 Jan 2023, the asset is revalued to $60,000 (with $8,800 going to revaluation reserve). 2023 Depreciation (revalued amount) = 20% of $60,000 = $12,000. NBV on 31 Dec 2023 = $60,000 - $12,000 = $48,000. Disposal Profit = Sales Proceeds ($50,000) - Carrying Amount ($48,000) = $2,000 profit.

1 mark for the correct answer of B ($2,000 profit). Reject A (incorrect direction), C (ignoring disposal-year depreciation), and D (ignoring revaluation entirely).

Sells inventory at cost for cash means that overall current assets do not change (inventory decreases by the same amount cash increases). Therefore, the Current Ratio remains unchanged. Because cash is a liquid asset while inventory is not, the total of liquid assets increases. Consequently, the Liquid Ratio increases.

1 mark for B (Current ratio no change; Liquid ratio increases). Reject other options based on incorrect conceptual analysis of current assets vs liquid assets.

When no goodwill account is to be maintained, goodwill is adjusted through the capital accounts of the partners. Credit old partners with goodwill in the old ratio: X: $50,000 \times 3/5 = $30,000, Y: $50,000 \times 2/5 = $20,000. Debit all partners with goodwill in the new ratio: X: $50,000 \times 5/10 = $25,000, Y: $50,000 \times 3/10 = $15,000, Z: $50,000 \times 2/10 = $10,000. Net adjustment to Y's capital account is $20,000 (credit) - $15,000 (debit) = $5,000 (credit). Therefore, Y's new capital account balance = $40,000 + $5,000 = $45,000.

1 mark for C ($45,000). Reject A (if only debit is applied), B (no change), and D (if only credit is applied).

The correct bank balance shown in the Statement of Financial Position is the adjusted cash book balance. Starting with the unadjusted cash book balance of \( \$12,400 \) debit: deduct bank charges of \( \$150 \) and the dishonoured cheque of \( \$850 \). This gives: \( \$12,400 - \$150 - \$850 = \$11,400 \). The unpresented cheques and outstanding lodgements are timing differences used to reconcile the bank statement to the adjusted cash book and do not adjust the cash book itself.

1 mark for the correct calculation: \( \$12,400 - \$150 - \$850 = \$11,400 \). Reject options that include unpresented cheques or outstanding lodgements.

Under marginal costing, profit is calculated as: Total Contribution - Fixed Overheads. Contribution per unit = \( \$25 - \$15 = \$10 \). Total Contribution = \( 4,200 \text{ units} \times \$10 = \$42,000 \). Profit = \( \$42,000 - \$40,000 = \$2,000 \).

1 mark for correct calculation: \( (4,200 \times (\$25 - \$15)) - \$40,000 = \$2,000 \). Reject absorption costing profit calculation (\( \$8,400 \)).

The final dividend was only proposed before the year-end and not approved, so it is not recognised as a transaction in the financial statements for the year ended 31 December 2023. Retained earnings balance = \( \$145,000 \text{ (opening)} + \$68,000 \text{ (profit)} - \$15,000 \text{ (transfer)} - \$10,000 \text{ (interim dividend)} = \$188,000 \).

1 mark for identifying the correct components and excluding the proposed dividend: \( \$145,000 + \$68,000 - \$15,000 - \$10,000 = \$188,000 \). Reject calculations that deduct the proposed final dividend of \( \$20,000 \).

First, calculate the predetermined Overhead Absorption Rate (OAR) = \( \$180,000 / 45,000 \text{ hours} = \$4 \) per direct labour hour. Next, calculate the absorbed overheads = \( 47,000 \text{ actual hours} \times \$4 = \$188,000 \). Compare absorbed overheads with actual overheads: \( \$188,000 \text{ (absorbed)} - \$195,000 \text{ (actual)} = -\$7,000 \). Because the actual overheads exceeded the absorbed overheads, there is an under-absorption of \( \$7,000 \).

1 mark for correct direction and amount: \( \$7,000 \) under-absorbed. Reject options with over-absorbed or incorrect actual/budget difference.

Total profit for the year: \( \$65,000 \). Less: Interest on capital: X = \( 5\% \times \$80,000 = \$4,000 \); Y = \( 5\% \times \$50,000 = \$2,500 \) (Total = \( \$6,500 \)). Less: Salary to Y = \( \$12,000 \). Residual profit = \( \$65,000 - \$6,500 - \$12,000 = \$46,500 \). X's share of residual profit = \( 3/5 \times \$46,500 = \$27,900 \).

1 mark for calculating correct residual profit of \( \$46,500 \) and multiplying by X's share of 3/5 to get \( \$27,900 \).

Depreciation for 2021: \( 20\% \times \$24,000 = \$4,800 \). Net Book Value (NBV) at 31 Dec 2021 = \( \$19,200 \). Depreciation for 2022: \( 20\% \times \$19,200 = \$3,840 \). NBV at 31 Dec 2022 = \( \$15,360 \). No depreciation is charged in 2023. Disposal proceeds = \( \$14,500 \). Loss on disposal = \( \text{NBV} - \text{Disposal proceeds} = \$15,360 - \$14,500 = \$860 \) loss.

1 mark for correct calculation of NBV at disposal (\( \$15,360 \)) and correct loss on disposal (\( \$860 \)).

Let Current Assets (CA) = \( \$180 \) (including inventory), Current Liabilities (CL) = \( \$100 \). Current Ratio = 1.8. Let Liquid Assets (LA) = \( \$80 \), Liquid Ratio = 0.8. If inventory of \( \$20 \) is bought on credit: New CA = \( \$200 \), New CL = \( \$120 \), New Current Ratio = \( 200/120 = 1.67:1 \) (decreased). New LA = \( \$80 \) (unchanged, as inventory is not a liquid asset), New CL = \( \$120 \), New Liquid Ratio = \( 80/120 = 0.67:1 \) (decreased). Therefore, both ratios decrease.

1 mark for correctly identifying that both the current ratio and the liquid ratio decrease as a result of the transaction.

Draft profit: \( \$45,000 \). Error 1: Closing inventory undervalued means profit was understated. Add \( \$3,000 \). Error 2: Revenue expenditure (repairs) of \( \$1,200 \) was capitalized. This means repair expenses were understated by \( \$1,200 \) (deduct \( \$1,200 \) to correct). However, depreciation of 10% on this \( \$1,200 \) (amounting to \( \$120 \)) was incorrectly charged to expenses (add back \( \$120 \) to correct). Corrected profit = \( \$45,000 + \$3,000 - \$1,200 + \$120 = \$46,920 \).

1 mark for correct adjustments to reach \( \$46,920 \). Subtract \( \$1,200 \), add \( \$3,000 \), and add back \( \$120 \) incorrect depreciation.

1. Initial shares: 500,000. Rights issue: 1 share for every 5 held = \(500,000 / 5 = 100,000\) shares. 2. The rights shares are issued at $0.80 (Nominal value is $0.50, so Share Premium is $0.30 per share). 3. Premium from rights issue: \(100,000 \times \$0.30 = \$30,000\). 4. Total Share Premium before bonus issue: \(\$120,000 + \$30,000 = \$150,000\). 5. Total shares before bonus issue: \(500,000 + 100,000 = 600,000\) shares. 6. Bonus issue: 1 share for every 10 held = \(600,000 / 10 = 60,000\) shares. 7. Nominal value of bonus shares: \(60,000 \times \$0.50 = \$30,000\). This is fully funded by the Share Premium account. 8. Final Share Premium balance: \(\$150,000 - \$30,000 = \$120,000\).

1 mark for correct option B. Method: Calculate rights issue premium of $30,000; calculate total premium of $150,000; calculate bonus issue cost of $30,000; subtract to get final balance of $120,000.

1. Find the adjusted bank statement balance (which must equal the adjusted cash book balance): \(\text{Bank statement credit balance} + \text{uncredited lodgements} - \text{unpresented cheques} = \$5,420 + \$820 - \$1,150 = \$5,090\). 2. So, the adjusted cash book balance is $5,090. 3. Work backwards to find the unadjusted cash book balance: \(\text{Unadjusted cash book balance} - \text{bank charges} - \text{dishonoured cheque} = \text{Adjusted cash book balance}\) -> \(\text{Unadjusted balance} - \$120 - \$450 = \$5,090\) -> \(\text{Unadjusted balance} = \$5,090 + \$570 = \$5,660\).

1 mark for correct option C. Method: Reconcile bank balance to find correct balance of $5,090. Reverse bank charges and dishonoured cheque to find original cash book balance of $5,660.

1. Draft Gross Profit: $85,400. 2. Goods taken for personal use should be credited to Purchases at cost ($1,200). This reduces Cost of Sales and increases Gross Profit: \(+\$1,200\). 3. Undervalued closing inventory must be corrected by increasing closing inventory, which reduces Cost of Sales and increases Gross Profit: \(+\$2,100\). 4. Unrecorded purchase invoice: goods were already in inventory, so purchases must be increased by $800. This increases Cost of Sales and reduces Gross Profit: \(-\$800\). 5. Corrected Gross Profit = \(\$85,400 + \$1,200 + \$2,100 - \$800 = \$87,900\).

1 mark for correct option C. Method: Adjust draft GP by adding cost of drawings ($1,200), adding inventory undervaluation ($2,100), and subtracting unrecorded purchase invoice ($800).

1. Predetermined overhead absorption rate (OAR) = \(\text{Budgeted overheads} / \text{Budgeted direct labour hours} = \$240,000 / 30,000 = \$8.00\) per direct labour hour. 2. Overhead absorbed = \(\text{Actual hours worked} \times \text{OAR} = 31,500 \times \$8.00 = \$252,000\). 3. Actual overhead incurred = $255,000. 4. Overhead absorbed ($252,000) is less than actual overhead incurred ($255,000), resulting in an under-absorption of \(\$255,000 - \$252,000 = \$3,000\).

1 mark for correct option A. Method: Calculate OAR of $8.00/hour, calculate overhead absorbed of $252,000, compare with actual overhead to find under-absorbed amount of $3,000.

1. Product X: Contribution per unit = \(\$30 - \$18 = \$12\). Contribution per kg of material = \(\$12 / 3 \text{ kg} = \$4.00\) per kg. 2. Product Y: Contribution per unit = \(\$50 - \$32 = \$18\). Contribution per kg of material = \(\$18 / 4 \text{ kg} = \$4.50\) per kg. 3. Since Product Y provides a higher contribution per kg of the limiting factor, Product Y should be prioritised.

1 mark for correct option A. Method: Calculate contribution per kg for Product X ($4.00/kg) and Product Y ($4.50/kg), then identify Product Y as priority.

1. Total Interest on Capital: Alan: \(5\% \times \$100,000 = \$5,000\); Bob: \(5\% \times \$80,000 = \$4,000\). Total = $9,000. 2. Bob's Salary: $12,000. 3. Residual Profit = \(\$65,000 - \$9,000 \text{ (Interest)} - \$12,000 \text{ (Salary)} = \$44,000\). 4. Bob's share of residual profit (2/5) = \(2/5 \times \$44,000 = \$17,600\). 5. Bob's total share of profit = \(\$4,000 \text{ (Interest)} + \$12,000 \text{ (Salary)} + \$17,600 \text{ (Residual profit)} = \$33,600\).

1 mark for correct option B. Method: Calculate interest on capital (Alan $5,000, Bob $4,000), subtract salary and interest from profit to get residual of $44,000, find Bob's share of residual ($17,600) and sum.

1. Calculate Net Book Value (NBV) on 31 December 2023: - Year 1 (2021) Depreciation: \(20\% \times \$40,000 = \$8,000\). NBV = $32,000. - Year 2 (2022) Depreciation: \(20\% \times \$32,000 = \$6,400\). NBV = $25,600. - Year 3 (2023) Depreciation: \(20\% \times \$25,600 = \$5,120\). NBV = $20,480. 2. Compare NBV with Part-Exchange Allowance: - \(\text{Allowance} - \text{NBV} = \$18,500 - \$20,480 = -\$1,980\). 3. Since the allowance is less than the NBV, there is a loss on disposal of $1,980.

1 mark for correct option B. Method: Calculate NBV over 3 years ($20,480) and compare with the trade-in allowance of $18,500 to find the loss on disposal.

1. Let Current Assets = $250 (Inventory = $170, Liquid Assets = $80) and Current Liabilities = $100. - Current ratio = \(250 / 100 = 2.5 : 1\). - Liquid ratio = \(80 / 100 = 0.8 : 1\). 2. Purchase $50 of inventory on credit: - New Current Assets = \(\$250 + \$50 = \$300\). - New Current Liabilities = \(\$100 + \$50 = \$150\). - New Current Ratio = \(300 / 150 = 2.0 : 1\) (decreased). - New Liquid Assets = $80 (unchanged, as inventory is excluded). - New Liquid Ratio = \(80 / 150 = 0.53 : 1\) (decreased).

1 mark for correct option A. Method: Test the transaction with numerical examples to confirm both the current ratio and the liquid ratio decrease.

Under IAS 10, proposed final dividends are not recognised as a liability at the reporting date as they have not been approved by the shareholders before the year-end. Therefore, they are not deducted in the Statement of Changes in Equity for the current year. The calculation for the net increase in retained earnings is as follows: \(\text{Profit for the year} = \$120,000\), \(\text{Less: Interim dividend paid } (500,000 \text{ shares} \times \$0.04) = \$20,000\), \(\text{Less: Transfer to general reserve} = \$25,000\). Therefore, \(\text{Net increase in retained earnings} = \$120,000 - \$20,000 - \$25,000 = \$75,000\).

1 mark for the correct option. Award 1 mark for B ($75,000). Reject options that incorrectly deduct proposed dividends (A), ignore transfers to reserve (D), or ignore dividends (C).

Let's analyse the effect of each error on the debit and credit totals of the trial balance: 1. Rent received of $450 was debited to cash (correct) and debited to rent receivable as $540. This results in two debits (\(\$450 + \$540 = \$990\)) and no credit. This causes the trial balance debit total to be too high by $990. 2. Credit purchase of $850 was recorded as $580 in the purchases journal, meaning Purchases was debited with $580. Finch's account was correctly credited with $850. This means credit is higher than debit by \(\$850 - \$580 = \$270\). 3. Omission of cash sales does not affect the agreement of the trial balance. Net trial balance imbalance before corrections: Debit excess = \(\$990\) (from rent) - \(\$270\) (from purchases) = \(\$720\) excess debit. To balance this trial balance, a credit entry of $720 must have been placed in the suspense account. Therefore, the suspense account had a credit balance of $720.

1 mark for the correct option. Correct option: C ($720 credit). Reject: $720 debit (D), $180 credit/debit (A/B) which incorrectly calculates the rent receivable adjustment.

To find the insurance expense for the year, we must adjust the bank payments for opening and closing prepayments: 1. Opening prepayment (1 Sept 2022) = \(\$1,200\). 2. Total payments made = \(\$7,800\). 3. On 1 August 2023, a payment of \(\$3,600\) was made for 12 months (runs from 1 August 2023 to 31 July 2024). At the year-end (31 August 2023), 11 months of this policy remain prepaid (from 1 September 2023 to 31 July 2024). \(\text{Closing prepayment} = \$3,600 \times \frac{11}{12} = \$3,300\). 4. Insurance charge in income statement: \(\text{Expense} = \text{Opening prepayment} + \text{Payments during the year} - \text{Closing prepayment}\) which equals \(\$1,200 + \$7,800 - \$3,300 = \$5,700\).

1 mark for the correct option. Award 1 mark for C ($5,700). If opening prepayment is omitted: $4,500 (A). If closing prepayment is assumed to be $3,600: $5,400 (B). If only 1 month is treated as prepaid: $8,700 (D).

First, calculate the Overhead Absorption Rates (OAR): Machining OAR = \(\frac{\$180,000}{15,000 \text{ machine hours}} = \$12\) per machine hour. Assembly OAR = \(\frac{\$120,000}{10,000 \text{ labour hours}} = \$12\) per direct labour hour. Second, calculate overheads absorbed for each department: Machining absorbed = \(14,800 \text{ actual machine hours} \times \$12 = \$177,600\). Assembly absorbed = \(10,500 \text{ actual labour hours} \times \$12 = \$126,000\). Total absorbed = \(\$177,600 + \$126,000 = \$303,600\). Third, compare with actual overheads incurred: Total actual overheads = \(\$190,000 + \$116,000 = \$306,000\). Net absorption = \(\text{Absorbed} - \text{Actual} = \$303,600 - \$306,000 = -\$2,400\) (under-absorbed by $2,400).

1 mark for the correct option. Correct option: B ($2,400 under-absorbed). Distractor A ($2,400 over-absorbed) is the reverse of correct logic. Distractor C ($6,000 under-absorbed) is the difference between total budget and actual.

First, calculate the current monthly profit: Current contribution per unit = \(\$25 - \$15 = \$10\). Current total contribution = \(5,000 \times \$10 = \$50,000\). Current profit = \(\$50,000 - \$40,000 = \$10,000\). Second, calculate the proposed monthly profit: Proposed selling price = \(\$25 \times (1 - 0.10) = \$22.50\). Proposed contribution per unit = \(\$22.50 - \$15 = \$7.50\). Proposed sales volume = \(5,000 \times (1 + 0.20) = 6,000\) units. Proposed total contribution = \(6,000 \times \$7.50 = \$45,000\). Proposed profit = \(\$45,000 - \$40,000 = \$5,000\). Comparison: Change in profit = \(\$5,000 - \$10,000 = -\$5,000\) (a decrease of $5,000).

1 mark for the correct option. Correct option: A ($5,000 decrease). Distractor B ($5,000 increase) occurs if the direction of the change is reversed. Distractors C and D reflect incorrect calculations of contribution.

First, calculate interest on drawings: P: \(\$15,000 \times 10\% = \$1,500\). Q: \(\$20,000 \times 10\% = \$2,000\). Total interest on drawings = \(\$3,500\) (credited to Appropriation Account). Second, determine total profit available for appropriation: Adjusted profit = \(\$58,500 + \$3,500 = \$62,000\). Third, subtract appropriations: Interest on capital: P: \(\$80,000 \times 5\% = \$4,000\), Q: \(\$60,000 \times 5\% = \$3,000\). Salary to Q = \(\$12,000\). Residual profit to be shared = \(\$62,000 - \$4,000 - \$3,000 - \$12,000 = \$43,000\). Fourth, calculate Q's share of residual profit: Q's share = \(\$43,000 \times \frac{2}{5} = \$17,200\). Finally, update Q's current account: Opening debit balance: \(-\$3,000\). Add interest on capital: \(+\$3,000\). Add salary: \(+\$12,000\). Add share of profit: \(+\$17,200\). Less drawings: \(-\$20,000\). Less interest on drawings: \(-\$2,000\). Closing balance = \(-\$3,000 + \$3,000 + \$12,000 + \$17,200 - \$20,000 - \$2,000 = \$7,200\) credit.

1 mark for the correct option. Correct option: B ($7,200 credit). Distractor A ($5,800) is calculated if interest on drawings is omitted from the profit appropriation. Distractor C ($7,800) is calculated if interest on drawings is omitted entirely. Distractor D ($13,200) is calculated if Q's opening balance is treated as a credit.

**(a) Vanguard Retail Limited - Statement of Profit or Loss for the year ended 31 December 2023**

* Revenue: $840,000
* Cost of Sales:
* Opening inventory: $54,000
* Purchases: $410,000
* Less: Closing inventory ($58,000 - $2,000 write-down): ($56,000)
* Cost of Sales total: ($408,000)
* **Gross Profit: $432,000**
* Less: Expenses
* Distribution costs ($78,000 + $12,600 depreciation): ($90,600)
* Administrative expenses ($112,000 + $6,000 + $5,400 + $100): ($123,500)
* **Profit from operations: $217,900**
* Finance costs (Debenture interest: $100,000 \times 6%): ($6,000)
* **Profit before tax: $211,900**
* Income tax expense: ($18,000)
* **Profit for the year: $193,900**

*Workings:*
1. **Closing Inventory:** Cost $58,000. Damaged items NRV = $4,500 - $500 = $4,000 (Cost was $6,000). Write-down required = $2,000. Value = $58,000 - $2,000 = $56,000.
2. **Depreciation:**
- Buildings: 2% of $300,000 = $6,000.
- Equipment NBV = $150,000 - $60,000 = $90,000. Depreciation = 20% of $90,000 = $18,000.
- Distribution (70%): $12,600
- Administration (30%): $5,400
3. **Allowance for Doubtful Debts:** Required allowance = 4% of $65,000 = $2,600. Existing allowance = $2,500. Increase = $100 (Admin expense).

**(b) Vanguard Retail Limited - Statement of Changes in Equity for the year ended 31 December 2023**

| | Ordinary Share Capital ($) | Share Premium ($) | Retained Earnings ($) | Total ($) |
|---|---|---|---|---|
| Balances at 1 Jan 2023 | 200,000 | 60,000 | 43,000 | 303,000 |
| Bonus issue (1-for-4) | 50,000 | (50,000) | - | - |
| Rights issue | 50,000 | 30,000 | - | 80,000 |
| Profit for the year | - | - | 193,900 | 193,900 |
| **Balances at 31 Dec 2023** | **300,000** | **40,000** | **236,900** | **576,900** |

*Workings:*
1. **Bonus issue:** \frac{200,000 \text{ shares}}{4} = 100,000 \text{ shares} \times $0.50 = $50,000.
2. **Rights issue:** 100,000 shares \times $0.80 = $80,000 total. Nominal value to share capital = 100,000 \times $0.50 = $50,000; Premium to share premium = 100,000 \times $0.30 = $30,000. This clears the suspense account.

**(c) Differences between Ordinary Shares and Debentures:**
1. **Status:** Ordinary shareholders are owners of the company; debenture holders are creditors.
2. **Return:** Ordinary shares earn a variable dividend (discretionary); debentures earn a fixed interest rate (mandatory expense).
3. **Voting Rights:** Shareholders generally have voting rights; debenture holders do not.
4. **Security:** Debentures may be secured against assets; shares are unsecured equity.
5. **Liquidation Order:** Debenture holders are paid first among creditors; shareholders are the last to receive remaining funds.

**(d) Reasoning for Bonus Issue funding:**
Share premium is a non-distributable capital reserve. Using it to fund a bonus issue preserves retained earnings, which are distributable reserves, enabling future dividend payments to shareholders.

**(a) Statement of Profit or Loss [Total: 14 marks]**
* Revenue: $840,000 (no mark)
* Closing Inventory: $56,000 [2 marks] (1 mark for showing $58,000 - $2,000 write-down)
* Cost of Sales: $408,000 [1 mark for correct method of opening + purchases - closing)
* Gross Profit: $432,000 [1 mark, OF]
* Distribution Costs: $90,600 [2 marks] (1 mark for equipment depreciation $12,600)
* Administrative Expenses: $123,500 [4 marks] (1 mark for buildings depreciation $6,000, 1 mark for equipment depreciation $5,400, 1 mark for change in bad debt allowance $100, 1 mark for correct summation with trial balance administrative expense)
* Operations Profit: $217,900 [1 mark, OF]
* Finance costs: $6,000 [1 mark]
* Profit before tax: $211,900 [1 mark, OF]
* Profit for the year: $193,900 [1 mark, OF]

**(b) Statement of Changes in Equity [Total: 8 marks]**
* Balances at 1 Jan 2023 [1 mark for all correct]
* Bonus issue entries: $50,000 to Share Capital and ($50,000) to Share Premium [2 marks]
* Rights issue entries: $50,000 to Share Capital and $30,000 to Share Premium [2 marks]
* Profit for the year in Retained Earnings: $193,900 [1 mark]
* Final row balances: Capital $300,000, Premium $40,000, Retained Earnings $236,900 [2 marks]

**(c) Differences [Total: 6 marks]**
* 2 marks for each of the three clear points of distinction (1 mark for stating difference, 1 mark for development).

**(d) Explanation [Total: 2 marks]**
* 1 mark for identifying share premium as non-distributable and retained earnings as distributable.
* 1 mark for explaining that using share premium preserves dividend-paying potential.

**(a) Contribution per unit:**
* **Alpha:** $150 - ($40 + $30 + $15) = $150 - $85 = **$65**
* **Beta:** $210 - ($60 + $45 + $25) = $210 - $130 = **$80**
* **Gamma:** $180 - ($30 + $60 + $20) = $180 - $110 = **$70**

**(b) Production Plan under Material Shortage:**
1. **Material required per unit:**
* Alpha: \frac{$40}{$10} = 4\text{ kg}
* Beta: \frac{$60}{$10} = 6\text{ kg}
* Gamma: \frac{$30}{$10} = 3\text{ kg}
2. **Total materials required for maximum demand:**
* Alpha: 3,000 \times 4\text{ kg} = 12,000\text{ kg}
* Beta: 2,000 \times 6\text{ kg} = 12,000\text{ kg}
* Gamma: 4,000 \times 3\text{ kg} = 12,000\text{ kg}
* Total required = 36,000\text{ kg}. Since only 22,000\text{ kg} is available, direct materials is indeed the limiting factor.
3. **Contribution per kg of limiting factor:**
* Alpha: \frac{$65}{4\text{ kg}} = $16.25\text{ per kg}
* Beta: \frac{$80}{6\text{ kg}} = $13.33\text{ per kg}
* Gamma: \frac{$70}{3\text{ kg}} = $23.33\text{ per kg}
4. **Ranking:** 1st: Gamma, 2nd: Alpha, 3rd: Beta
5. **Optimum Allocation of 22,000 kg:**
* Produce Gamma first: 4,000 units \times 3\text{ kg} = 12,000\text{ kg} (leaving 10,000\text{ kg} available).
* Produce Alpha second: \frac{10,000\text{ kg}}{4\text{ kg}} = 2,500\text{ units}.
* Produce Beta: 0 units.

* **Total Contribution:**
* Gamma: 4,000 \times $70 = $280,000
* Alpha: 2,500 \times $65 = $162,500
* **Total Contribution: $442,500**
* **Net Profit:**
* Total Contribution: $442,500
* Less Fixed Overheads: ($180,000)
* **Net Profit: $262,500**

**(c) Break-even Analysis (Alpha only):**
* Contribution-to-Sales (C/S) Ratio for Alpha: \frac{$65}{$150} = 43.33% (or \frac{13}{30})
* Break-even in units: \frac{$180,000}{$65} = 2,769.23\text{ units}
* Break-even sales revenue: 2,769.23\text{ units} \times $150 = **$415,385** (or using C/S ratio: \frac{$180,000}{13/30} = $415,384.62)

**(d) Assumptions of CVP analysis (any three):**
1. Fixed costs remain constant throughout the period across all relevant levels of activity.
2. Selling price per unit remains constant.
3. Variable cost per unit remains constant.
4. Production and sales volumes are identical (no inventory changes).

**(e) Evaluation of the External Supplier's Offer:**
* If we purchase 1,500 units of Alpha at $105 each:
* Contribution per unit of purchased Alpha = $150 - $105 = $45.
* Total contribution from purchased Alpha = 1,500 \times $45 = $67,500.
* Remaining demand for Alpha to be produced in-house is 1,500 units.
* This requires 1,500 \times 4\text{ kg} = 6,000\text{ kg} of materials.
* Allocation of the 22,000 kg materials available:
* Gamma (Rank 1): 4,000 units (12,000\text{ kg}) -> Contribution = $280,000
* Alpha (Rank 2): 1,500 units (6,000\text{ kg}) -> Contribution = $97,500
* Material remaining = 22,000\text{ kg} - 12,000\text{ kg} - 6,000\text{ kg} = 4,000\text{ kg}.
* Since we have 4,000\text{ kg} left, we can now produce Beta (Rank 3)!
* Beta units produced = \frac{4,000\text{ kg}}{6\text{ kg}} = 666.67\text{ units}.
* Contribution from Beta = 666.67 \times $80 = $53,333.60.
* **Total Contribution under new plan:**
* Gamma (in-house): $280,000
* Alpha (in-house): $97,500
* Alpha (purchased): $67,500
* Beta (in-house): $53,333.60
* **Total: $498,333.60**
* **Comparison:**
* Original Contribution = $442,500.
* New Contribution = $498,333.60.
* Increase in Contribution/Profit = $55,833.60.
* **Recommendation:** AeroTech Limited should accept the offer because doing so allows them to bypass the material shortage and generate an additional $55,833.60 in profit.

**(a) Unit Contribution [Total: 3 marks]**
* 1 mark for Alpha ($65)
* 1 mark for Beta ($80)
* 1 mark for Gamma ($70)

**(b) Production Plan [Total: 10 marks]**
* 1 mark for calculating correct material usage per product.
* 1 mark for identifying material shortage (36,000 required vs 22,000 available).
* 3 marks for contribution per kg calculations (1 mark per product).
* 1 mark for ranking (Gamma, Alpha, Beta).
* 2 marks for optimum production volumes (1 mark for Gamma = 4,000 units, 1 mark for Alpha = 2,500 units).
* 1 mark for Total Contribution ($442,500).
* 1 mark for Net Profit ($262,500).

**(c) Break-even Analysis [Total: 5 marks]**
* 1 mark for C/S Ratio or showing units formula.
* 2 marks for calculating units (2,769 units).
* 2 marks for calculating correct sales revenue ($415,385) (allow rounding differences).

**(d) Assumptions [Total: 3 marks]**
* 1 mark per valid assumption listed (up to a max of 3).

**(e) Evaluation of Offer [Total: 9 marks]**
* 2 marks for contribution on purchased Alpha ($45 per unit and $67,500 total).
* 2 marks for showing remaining material can now be used for Beta (666.67 units).
* 2 marks for calculating Beta's contribution ($53,333.60).
* 2 marks for calculating total new contribution ($498,333.60) and comparing to original (increase of $55,833.60).
* 1 mark for final recommendation to accept the offer.

### (a) Liam - Updated Cash Book at 30 June 2024

| Date | Details | Amount ($) | Date | Details | Amount ($) |
| :--- | :--- | :--- | :--- | :--- | :--- |
| 30 June | Balance b/d | 4,250 | 30 June | Bank charges | 145 |
| 30 June | J. Patel (Credit transfer) | 650 | 30 June | T. Green (Dishonoured cheque) | 840 |
| 30 June | Rent correction (standing order) | 420 | 30 June | Balance c/d | 4,335 |
| | **Total** | **5,320** | | **Total** | **5,320** |
| 1 July | Balance b/d | 4,335 | | | |

*Note on rent correction:* Since the payment of $420 was entered in the cash book twice (two credits of $420), a debit entry of $420 is required to reverse the double-entry error.

### (b) Bank Reconciliation Statement at 30 June 2024

| Details | Amount ($) |
| :--- | :--- |
| Balance as per bank statement (overdrawn) | (1,180) |
| Add: Outstanding lodgements / deposits | 9,260 |
| | **8,080** |
| Less: Unpresented cheques | (3,745) |
| **Balance as per updated cash book** | **4,335** |

### (c) Four benefits of preparing a bank reconciliation statement regularly:
1. It helps identify errors in the cash book (e.g., duplicate entries, transposition errors).
2. It helps identify bank-initiated transactions that have not yet been recorded in the cash book (e.g., bank charges, standing orders, direct debits, credit transfers).
3. It helps detect and prevent fraud, unauthorized withdrawals, and embezzlement.
4. It assists in verifying the accuracy of the bank balance shown in the ledger before preparing the final financial statements.

### (a) Updated Cash Book (5 Marks)
- Debit balance b/d of $4,250: No mark (given)
- J. Patel credit transfer of $650 on Debit side: (1 mark)
- Rent correction of $420 on Debit side: (1 mark)
- Bank charges of $145 on Credit side: (1 mark)
- T. Green dishonoured cheque of $840 on Credit side: (1 mark)
- Correct closing balance c/d of $4,335: (1 mark)

### (b) Bank Reconciliation Statement (6 Marks)
- Starting balance of $(1,180) or labeled clearly as overdrawn: (1 mark)
- Labeling and adding Outstanding deposits/lodgements of $9,260: (2 marks)
- Labeling and deducting Unpresented cheques of $3,745: (2 marks)
- Final reconciled balance of $4,335 matching the updated cash book: (1 mark) [O/F from (a)]

### (c) Benefits of Bank Reconciliation (4 Marks)
- 1 mark for each valid benefit stated, up to a maximum of 4 marks.
- Acceptable points: identification of cash book errors, updating unrecorded bank transactions, detection of fraud/theft, ensuring accuracy of accounts for financial statements, identifying outstanding/unpresented items.

### (a) Calculations for the year ended 31 August 2024

**1. Total Purchases**
$$\text{Credit Purchases} = \text{Payments to payables} + \text{Closing payables} - \text{Opening payables}$$
$$\text{Credit Purchases} = \$28,340 + \$4,180 - \$3,920 = \$28,600$$
Since there are no cash purchases, **Total Purchases = $28,600**.

**2. Total Sales**
$$\text{Credit Sales} = \text{Receipts from receivables} + \text{Closing receivables} - \text{Opening receivables}$$
$$\text{Credit Sales} = \$43,620 + \$5,240 - \$4,850 = \$44,010$$
$$\text{Total Sales} = \text{Credit Sales} + \text{Cash Sales}$$
$$\text{Total Sales} = \$44,010 + \$12,400 = \$56,410$$

---

### (b) Income Statement for Hina for the year ended 31 August 2024

| | $ | $ |
| :--- | :--- | :--- |
| **Revenue (Sales)** | | 56,410 |
| **Cost of Sales** | | |
| Opening Inventory | 6,300 | |
| Purchases | 28,600 | |
| Less: Goods for own use (Drawings) | (600) | |
| Net Purchases | 28,000 | |
| Cost of Goods available for sale | 34,300 | |
| Less: Closing Inventory | (7,120) | (27,180) |
| **Gross Profit** | | **29,230** |
| **Expenses** | | |
| Rent expense ($5,400 + $450) | 5,850 | |
| Insurance expense ($1,800 + $350 - $400) | 1,750 | |
| Depreciation on equipment (W1) | 4,340 | (11,940) |
| **Profit for the year** | | **17,290** |

**Workings:**
* **W1 Depreciation:**
$$\text{Opening carrying value} + \text{Additions} - \text{Depreciation} = \text{Closing carrying value}$$
$$\$18,400 + \$2,500 - \text{Depreciation} = \$16,560$$
$$\text{Depreciation} = \$20,900 - \$16,560 = \$4,340$$

---

### (c) Two advantages of keeping full double-entry records:
1. It enables the preparation of a Trial Balance to check the arithmetical accuracy of the accounts.
2. It significantly reduces the potential for fraud, errors, and omissions, and makes them easier to detect.
3. It facilitates the preparation of reliable financial statements, making it easier to obtain external loans and finance from banks.

### (a) Purchases and Sales Calculations (6 Marks)
- **Purchases:**
- Correct formulation/ledger logic (add closing payables, deduct opening payables): (1 mark)
- Correct Total Purchases of $28,600: (1 mark)
- **Sales:**
- Correct Credit Sales calculation of $44,010: (2 marks)
- Add Cash Sales of $12,400: (1 mark)
- Correct Total Sales of $56,410: (1 mark)

### (b) Income Statement (7 Marks)
- Revenue of $56,410: (1 mark) [O/F from (a)]
- Cost of Sales (Opening Inventory of $6,300 + Purchases of $28,600 - Goods for own use of $600 - Closing Inventory of $7,120 = $27,180): (2 marks) [1 mark for handling goods for own use correctly, 1 mark for the rest of Cost of Sales calculation]
- Gross Profit of $29,230: (1 mark) [O/F]
- Rent expense of $5,850: (1 mark)
- Insurance expense of $1,750: (1 mark)
- Depreciation expense of $4,340: (1 mark)

Note: If Profit for the year is correctly calculated as $17,290 based on previous calculations, accept it under O/F rules.

### (c) Advantages (2 Marks)
- 1 mark per valid advantage stated, up to 2 marks.
- Acceptable points: trial balance check, error reduction, fraud prevention, easier to obtain bank loans, complies with standard accounting requirements.