2024 Cambridge IAS-Level Accounting (9706) 模擬試題連答案詳解

Under IAS 10, proposed dividends are not recognized as a liability at the reporting date because they do not represent a present obligation at that date. Therefore, the proposed final dividend of $12,000 is not deducted from retained earnings. Retained earnings balance = Opening Retained Earnings ($45,000) + Profit for the year ($38,000) - Interim Dividend paid ($5,000) - Transfer to General Reserve ($8,000) = $70,000.

1 mark for the correct calculation of the closing retained earnings balance of $70,000.

First, find contribution per machine hour (limiting factor):
* Product X: Contribution = $20 - $12 = $8. Contribution per hour = $8 / 2 = $4.
* Product Y: Contribution = $30 - $18 = $12. Contribution per hour = $12 / 4 = $3.

Since Product X has a higher contribution per hour, prioritize Product X:
* Produce 800 units of Product X: requires 800 x 2 = 1,600 hours.
* Remaining hours = 2,400 - 1,600 = 800 hours.
* Produce Product Y with remaining hours: 800 hours / 4 hours = 200 units.

Total Contribution = (800 units x $8) + (200 units x $12) = $6,400 + $2,400 = $8,800.

1 mark for the correct calculation of maximum contribution of $8,800.

First, update the Cash Book:
Corrected Cash Book balance = $3,450 (debit) - $120 (bank charges) - $820 (dishonoured cheque) = $2,510 (debit).

Next, reconcile to find Bank Statement balance:
Corrected Cash Book balance = Bank Statement balance + Lodgements in transit - Unpresented cheques
$2,510 = Bank Statement balance + $600 - $450
$2,510 = Bank Statement balance + $150
Bank Statement balance = $2,510 - $150 = $2,360 (credit balance in bank statement terms).

1 mark for the correct bank statement balance of $2,360 credit.

Average trade receivables = ($38,000 + $42,000) / 2 = $40,000.
Trade receivables turnover (days) = (Average Trade Receivables / Credit Sales) * 365 = ($40,000 / $365,000) * 365 = 40 days. Cash discounts do not change the credit sales figure for this calculation.

1 mark for the correct trade receivables turnover of 40 days.

Contribution per unit = Selling price - Variable cost = $25 - $15 = $10.
Required Sales Units = (Fixed Costs + Target Profit) / Contribution per unit = ($60,000 + $20,000) / $10 = $80,000 / $10 = 8,000 units.

1 mark for the correct calculation of sales units required (8,000 units).

Accumulated depreciation before revaluation (2021 and 2022) = $100,000 * 10% * 2 = $20,000.
Carrying value at 1 January 2023 = $100,000 - $20,000 = $80,000.
Revalued amount on 1 January 2023 = $90,000.
Depreciation for 2023 = $90,000 / 8 years = $11,250.
Carrying value at date of disposal (31 December 2023) = $90,000 - $11,250 = $78,750.
Loss on disposal = Carrying value ($78,750) - Disposal proceeds ($78,000) = $750 loss.

1 mark for the correct calculation of the $750 loss on disposal.

According to IAS 2, inventory must be valued at the lower of cost and net realisable value (NRV).
Adjustment 1: Inventory costing $8,000 was valued at $10,500. It must be written down to cost ($8,000), reducing profit by $2,500 ($10,500 - $8,000).
Adjustment 2: Inventory costing $5,000 was valued at cost, but its NRV is $3,200. It must be written down to NRV ($3,200), reducing profit by $1,800 ($5,000 - $3,200).
Corrected profit = $120,000 - $2,500 - $1,800 = $115,700.

1 mark for the correct adjustments leading to the corrected profit of $115,700.

First, credit existing partners with Goodwill in the old ratio (3:2):
* A's share = 3/5 * $50,000 = +$30,000
* B's share = 2/5 * $50,000 = +$20,000

Second, write off Goodwill in the new ratio. Since C gets 1/5, the remaining 4/5 is split 3:2 between A and B, making the new ratio 12:8:5:
* A's share = 12/25 * $50,000 = -$24,000
* B's share = 8/25 * $50,000 = -$16,000
* C's share = 5/25 * $50,000 = -$10,000

Closing balance of A's capital account = $60,000 (opening) + $30,000 (goodwill credit) - $24,000 (goodwill write-off) = $66,000.

1 mark for the correct calculation of A's capital balance of $66,000.

1. **Initial position:**
* Number of ordinary shares = \(\$400,000 / \$0.50 = 800,000\) shares.
* Share premium balance = \(\$120,000\).

2. **Bonus Issue (1-for-4):**
* Bonus shares issued = \(800,000 \times 1/4 = 200,000\) shares.
* Nominal value of bonus shares = \(200,000 \times \$0.50 = \$100,000\).
* This must be funded from the share premium account, reducing its balance to \(\$120,000 - \$100,000 = \$20,000\).
* Total ordinary shares now held = \(800,000 + 200,000 = 1,000,000\) shares.

3. **Rights Issue (1-for-5):**
* Rights shares issued = \(1,000,000 \times 1/5 = 200,000\) shares.
* Issue price = \(\$0.80\) per share (which represents a premium of \(\$0.80 - \$0.50 = \$0.30\) per share).
* Premium generated = \(200,000 \times \$0.30 = \$60,000\).

4. **Final Share Premium Balance:**
* \(\$20,000\) (remaining after bonus issue) + \(\$60,000\) (from rights issue) = \(\$80,000\).

1 mark for the correct answer of A.
- Award 0 marks for incorrect calculations (such as failing to utilize the share premium account first, or incorrectly calculating the rights issue premium).

To maximize contribution, the company must prioritize production based on contribution per unit of limiting factor (material):

1. **Contribution per unit:**
* Product X = \(\$25 - \$15 = \$10\)
* Product Y = \(\$40 - \$22 = \$18\)

2. **Contribution per kg of material:**
* Product X = \(\$10 / 2\text{ kg} = \$5\) per kg
* Product Y = \(\$18 / 3\text{ kg} = \$6\) per kg

3. **Ranking:**
* 1st: Product Y
* 2nd: Product X

4. **Allocation of material (Total 15,000 kg available):**
* Product Y: \(3,000\text{ units} \times 3\text{ kg} = 9,000\text{ kg}\). Contribution = \(3,000 \times \$18 = \$54,000\).
* Remaining material = \(15,000 - 9,000 = 6,000\text{ kg}\).
* Product X: \(6,000\text{ kg} / 2\text{ kg} = 3,000\text{ units}\) (which is within maximum demand of 4,000 units). Contribution = \(3,000 \times \$10 = \$30,000\).

5. **Total Contribution:**
* \(\$54,000 + \$30,000 = \$84,000\).

1 mark for the correct answer of C.
- Deduct/reject alternatives that prioritize Product X first or ignore the limiting factor constraint.

Only the errors and unrecorded items in the cash book itself require adjustments to calculate the corrected cash book balance. Timing differences (unpresented cheques and uncredited deposits) only appear in the bank reconciliation statement.

* Draft cash book balance (debit): \(\$8,450\)
* Less: Bank charges not entered: \(-\$150\)
* Less: Supplier cheque understatement (\(\$420 - \$240 = \$180\) extra paid out): \(-\$180\)
* Less: Receipt recorded twice: \(-\$800\)
* Corrected cash book balance = \(\$8,450 - \$150 - \$180 - \$800 = \$7,320\) (debit).

1 mark for the correct answer of B.
- Option A incorrectly includes timing differences (\(\$7,320 + \$1,200 - \$1,950\)).
- Option C represents the bank statement balance (\(\$7,320 - \$1,200 + \$1,950\)).

1. **Identify the impact of the transaction:**
* Paying trade payables using a long-term loan decreases current liabilities by \(\$15,000\).
* It does not change current assets (inventory and trade receivables remain the same).

2. **Calculate new Current Liabilities:**
* Old trade payables = \(\$25,000\)
* New trade payables = \(\$25,000 - \$15,000 = \$10,000\)
* Bank overdraft = \(\$10,000\)
* New Current Liabilities = \(\$10,000 + \$10,000 = \$20,000\)

3. **Calculate ratios:**
* **New Current Ratio** = \(\frac{\text{Current Assets}}{\text{Current Liabilities}} = \frac{\$45,000 + \$35,000}{\$20,000} = \frac{\$80,000}{\$20,000} = 4.00:1\)
* **New Acid Test Ratio** = \(\frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} = \frac{\$35,000}{\$20,000} = 1.75:1\)

1 mark for the correct answer of A.
- Option B mistakenly leaves current liabilities unchanged at $35,000 for acid test but changes it for current ratio.
- Option C keeps the original current ratio.

1. **Contribution per unit** = \(\$15 - \$9 = \$6\)

2. **Contribution to Sales (C/S) ratio** = \(\frac{\$6}{\$15} = 40\%\) (or 0.40)

3. **Required contribution** = \(\text{Fixed costs} + \text{Target profit} = \$54,000 + \$18,000 = \$72,000\)

4. **Required sales revenue** = \(\frac{\text{Required contribution}}{\text{C/S ratio}} = \frac{\$72,000}{0.40} = \$180,000\)

*Alternative method via units:*
* Required sales units = \(\frac{\$72,000}{\$6} = 12,000\) units
* Required sales revenue = \(12,000\text{ units} \times \$15 = \$180,000\)

1 mark for the correct answer of C.
- Option B is the break-even revenue (excluding target profit).

1. **Year 2021 Depreciation:**
* \(\$80,000 \times 20\% = \$16,000\)
* Carrying Value on 31 December 2021 = \(\$80,000 - \$16,000 = \$64,000\)

2. **Year 2022 Depreciation:**
* \(\$64,000 \times 20\% = \$12,800\)
* Carrying Value on 31 December 2022 = \(\$64,000 - \$12,800 = \$51,200\)

3. **Year 2023 Depreciation:**
* None (no depreciation charged in the year of disposal)
* Carrying Value at date of disposal (1 July 2023) = \(\$51,200\)

4. **Disposal Profit/Loss:**
* Disposal Proceeds (Part-exchange allowance) = \(\$48,000\)
* Loss on disposal = Carrying Value \(\$51,200\) - Proceeds \(\$48,000\) = \(\$3,200\) loss.

1 mark for the correct answer of A.
- Award 0 marks for B (confusing profit with loss), or other calculation errors.

1. **Draft Profit** = \(\$62,400\)

2. **Adjustment for Error 1 (Repairs capitalized as Asset):**
* Repairs expense must be increased (reducing profit) by \(\$1,200\).
* Overstated depreciation on this capitalized asset (\(\$1,200 \times 25\% = \$300\)) must be reversed (increasing profit) by \(\$300\).
* Net impact = \(-\$1,200 + \$300 = -\$900\).

3. **Adjustment for Error 2 (Overvalued closing inventory):**
* Overstated closing inventory overstates profit. Profit must be reduced by \(\$1,800\).

4. **Corrected Profit Calculation:**
* \(\$62,400 - \$900 - \$1,800 = \$59,700\).

1 mark for the correct answer of B.
- Option A incorrectly omits the depreciation reversal (\(\$62,400 - \$1,200 - \$1,800 = \$59,400\)).
- Option D only adjusts for the repairs error net of depreciation (\(\$62,400 - \$900\)) and ignores the inventory adjustment.

1. **Goodwill Adjustment for P:**
* Step 1: Credit P with share of goodwill in old ratio (3:2)
\(P = \$30,000 \times 3/5 = +\$18,000\)
* Step 2: Debit P with share of goodwill in new ratio (5:3:2)
\(P = \$30,000 \times 5/10 = -\$15,000\)
* Net goodwill adjustment for P = \(+\$18,000 - \$15,000 = +\$3,000\)

2. **P's New Capital Balance:**
* Old balance = \(\$60,000\)
* Net adjustment = \(+\$3,000\)
* New balance = \(\$63,000\).

1 mark for the correct answer of B.
- Option A is the original capital balance.
- Option C is the capital balance if the goodwill write-off in the new ratio is ignored.

1. **Share Premium Account**:
- Start balance: $40,000.
- Bonus issue: 1-for-5 of 200,000 shares = 40,000 shares of $1.00 = $40,000.
- Ending balance = $40,000 - $40,000 = $0.

2. **Revaluation Reserve**:
- Start balance: $50,000.
- Revaluation surplus = $110,000 - $80,000 = $30,000.
- Ending balance = $50,000 + $30,000 = $80,000.

3. **Retained Earnings** (Distributable):
- Start balance: $120,000.
- Add: Profit for the year: $75,000.
- Less: Dividend paid: $15,000.
- Ending balance = $180,000.

4. **Total Non-distributable Reserves** at 31 December 2023 = Share premium ($0) + Revaluation reserve ($80,000) = $80,000.

Award 1 mark for the correct calculation of total non-distributable reserves ($80,000).

1. **Contribution per unit**:
- Product J = $40 - $22 = $18
- Product K = $55 - $30 = $25

2. **Contribution per machine hour**:
- Product J = $18 / 3 hours = $6.00 per hour
- Product K = $25 / 5 hours = $5.00 per hour

3. **Ranking**: Product J has the higher contribution per hour and is ranked first.

4. **Allocation of available machine hours (5,000 hours)**:
- Produce maximum demand of J first: 1,000 units \\times 3 hours = 3,000 hours.
- Remaining hours = 5,000 - 3,000 = 2,000 hours.
- Allocate remaining hours to Product K: 2,000 hours / 5 hours per unit = 400 units of K.

Award 1 mark for identifying the correct optimal production mix (1,000 units of J and 400 units of K).

1. **Adjust the Cash Book**:
- Draft cash book balance = -$4,200 (Credit)
- Less: Bank charges = -$150
- Less: Dishonoured cheque = -$850
- Adjusted Cash Book Balance = -$5,200 (Credit/Overdraft)

2. **Reconciliation to Bank Statement**:
- Let \( B \) be the bank statement balance.
- \( B + \text{Lodgements in transit} - \text{Unpresented cheques} = \text{Adjusted Cash Book Balance} \)
- \( B + $1,900 - $2,400 = -$5,200 \)
- \( B - $500 = -$5,200 \)
- \( B = -$4,700 \) (Debit/Overdrawn)

Award 1 mark for the correct calculation of the bank statement balance as $4,700 debit (overdrawn).

1. **Inventory Holding Period**:
- Average inventory = \(($42,000 + $48,000) / 2\) = $45,000.
- Inventory holding period = \(($45,000 / $365,000) \times 365\) = 45 days.

2. **Trade Receivables Collection Period**:
- Trade receivables collection period = \(($60,000 / $730,000) \times 365\) = 30 days.

Award 1 mark for correctly identifying both ratios (45 days and 30 days respectively).

1. **New Selling Price** = $25.00 \times 0.90 = $22.50.
2. **New Contribution per Unit** = New Selling Price - Variable Cost = $22.50 - $15.00 = $7.50.
3. **New Break-even Point** = Fixed Costs / New Contribution = $120,000 / $7.50 = 16,000 units.
4. **New Sales Volume** = 15,000 units \\times 1.20 = 18,000 units.
5. **New Margin of Safety** = New Sales Volume - New Break-even Point = 18,000 - 16,000 = 2,000 units.

Award 1 mark for correctly calculating the new margin of safety as 2,000 units.

1. **Carrying amount at 31 December 2022**:
- Accumulated depreciation for 2 years (2021 & 2022) = 2 \\times (10% \\times $100,000) = $20,000.
- Carrying amount = $100,000 - $20,000 = $80,000.

2. **Revaluation on 1 January 2023**:
- Revalued amount = $96,000.

3. **Depreciation for 2023**:
- $96,000 / 8 years remaining = $12,000.

4. **Carrying amount at 31 December 2023**:
- $96,000 - $12,000 = $84,000.

5. **Disposal**:
- Profit on disposal = Disposal proceeds - Carrying amount = $85,000 - $84,000 = $1,000 profit.

Award 1 mark for calculating the correct disposal profit of $1,000.

1. **Draft Profit** = $68,400
2. **Error 1 (Repairs capitalized)**:
- Repair expense should have been debited: -$1,200.
- Incorrect depreciation must be reversed: +$240 (20% of $1,200).
- Net effect of Error 1 = -$960.
3. **Error 2 (Inventory overvalued)**:
- Adjusting closing inventory downwards increases cost of sales, reducing profit: -$2,500.
4. **Error 3 (Prepaid insurance)**:
- Insurance prepaid for April, May, June (3 months out of 6 months) = $1,500 \times 3/6 = $750.
- This prepayment increases profit: +$750.
5. **Corrected Profit** = $68,400 - $960 - $2,500 + $750 = $65,690.

Award 1 mark for the correct calculation of corrected profit ($65,690).

1. **Revaluation Share**:
- Revaluation surplus = $20,000.
- Q's share (2/5) = $8,000.

2. **Goodwill Adjustment** (no goodwill account):
- Credit old partners in old ratio (3:2): Q receives 2/5 \\times $30,000 = +$12,000.
- Debit all partners in new ratio (5:3:2): Q is debited 3/10 \\times $30,000 = -$9,000.
- Net Goodwill adjustment for Q = +$3,000.
- R is debited in new ratio: 2/10 \times $30,000 = -$6,000.

3. **Q's Final Capital Balance**:
- $40,000 (opening) + $8,000 (revaluation) + $3,000 (goodwill net adjustment) = $51,000.

4. **R's Cash Contribution**:
- R's final capital must equal $51,000.
- Let \( C \) be the cash introduced.
- \( C - $6,000 (goodwill debit) = $51,000 \)
- \( C = $57,000 \).

Award 1 mark for the correct calculation of cash to be introduced by R ($57,000).

First, calculate the number of existing shares: \(\frac{\$200,000}{\$0.50} = 400,000\) shares. The bonus issue is 1 share for every 4 shares held, which means issuing \(\frac{400,000}{4} = 100,000\) new shares. The nominal value of these bonus shares is \(100,000 \times \$0.50 = \$50,000\). To maintain reserves in their most flexible form, the company must keep as much of its distributable reserves (Retained Earnings) as possible. Therefore, the non-distributable reserve (Share Premium) is used first to fund the bonus issue. New Share Premium balance = \(\$80,000 - \$50,000 = \$30,000\). Retained Earnings remains unchanged at \(\$150,000\).

Award 1 mark for the correct option. Method: Identify number of bonus shares (100,000 shares), calculate total nominal value ($50,000), use share premium first to preserve flexible reserves.

First, calculate contribution per unit: Product X contribution = \(\$36 - \$10 - \$16 - \$2 = \$8\); Product Y contribution = \(\$40 - \$15 - \$8 - \$5 = \$12\). Next, calculate direct labor hours required per unit: Product X hours = \(\frac{\$16}{\$8} = 2\) hours; Product Y hours = \(\frac{\$8}{\$8} = 1\) hour. Calculate contribution per labor hour: Product X = \(\frac{\$8}{2\text{ hours}} = \$4\) per hour; Product Y = \(\frac{\$12}{1\text{ hour}} = \$12\) per hour. Product Y has the higher contribution per hour and is produced first. To produce maximum demand of Y (1,500 units) requires 1,500 hours. The remaining hours = \(2,500 - 1,500 = 1,000\) hours. Number of Product X units produced from remaining hours = \(\frac{1,000\text{ hours}}{2\text{ hours per unit}} = 500\) units. Therefore, the optimal production mix is 500 units of X and 1,500 units of Y.

Award 1 mark for the correct option. Method: Identify limiting factor (labor hours), calculate contribution per hour (Product X: $4, Product Y: $12), rank products, allocate hours to highest rank first.

First, update the cash book balance: Draft Cash Book Balance = \(-\$4,500\) (Credit/Overdrawn), Less bank charges = \(-\$180\), Less direct debits = \(-\$350\), leading to an updated Cash Book Balance of \(-\$5,030\) (Credit/Overdrawn). Next, reconcile the updated cash book balance to find the bank statement balance (B): \(B + \text{Uncredited Deposits} - \text{Unpresented Checks} = \text{Updated Cash Book Balance}\), which is \(B + \$2,100 - \$1,200 = -\$5,030\), giving \(B + \$900 = -\$5,030\), so \(B = -\$5,930\) (which represents a debit balance/overdraft of $5,930).

Award 1 mark for the correct option. Method: Update draft cash book with bank charges and direct debits ($5,030 credit), adjust for uncredited deposits and unpresented checks to find the correct bank statement balance.

Assume current assets are $150,000 (with inventory of $70,000 and liquid assets of $80,000) and current liabilities are $100,000. Current ratio = 1.5 : 1; Liquid ratio = 0.8 : 1. When inventory of $20,000 is purchased on credit, current assets (specifically inventory) and current liabilities both increase by $20,000. New current assets = $170,000, new current liabilities = $120,000, and new current ratio = \(\frac{\$170,000}{\$120,000} = 1.42 : 1\) (Decrease). Liquid assets remain unchanged at $80,000 since inventory is excluded. New liquid ratio = \(\frac{\$80,000}{\$120,000} = 0.67 : 1\) (Decrease). Therefore, both ratios decrease.

Award 1 mark for the correct option. Method: Apply a numerical model or logical analysis of ratios; recognize that adding equal amounts to numerator and denominator decreases a ratio initially > 1, and increasing liabilities with constant liquid assets decreases the liquid ratio.

Margin of Safety (MoS) is 20% of budgeted sales. MoS in units = \(5,000 \times 20\% = 1,000\) units. Break-even sales in units = Budgeted sales - MoS in units = \(5,000 - 1,000 = 4,000\) units. Break-even units = \(\frac{\text{Fixed Costs}}{\text{Contribution per unit}}\). Thus, \(4,000 = \frac{\$60,000}{\text{Contribution per unit}}\), which gives Contribution per unit = \(\frac{\$60,000}{4,000} = \$15\). Since Contribution per unit = Selling Price per unit - Variable Cost per unit, we have \(\$15 = \text{Selling Price} - \$12\), resulting in a Selling Price of \(\$27.00\).

Award 1 mark for the correct option. Method: Find break-even sales (4,000 units), calculate contribution per unit needed ($15), and add variable cost to find selling price ($27.00).

First, calculate the Net Book Value (NBV) at disposal: Cost on 1 January 2021 = \(\$80,000\). Year 1 Depreciation (2021) = \(20\% \times \$80,000 = \$16,000\). NBV on 1 January 2022 = \(\$80,000 - \$16,000 = \$64,000\). Year 2 Depreciation (2022) = \(20\% \times \$64,000 = \$12,800\). NBV on 31 December 2022 = \(\$64,000 - \$12,800 = \$51,200\). Next, calculate profit or loss on disposal: Profit or Loss = Part-exchange allowance - NBV = \(\$48,000 - \$51,200 = -\$3,200\), representing a loss of \(\$3,200\).

Award 1 mark for the correct option. Method: Compute depreciation for two years using reducing balance method, establish NBV of $51,200, and compare with part-exchange allowance of $48,000 to determine loss of $3,200.

Working for (i) Revised Profit: Draft Profit = $42,500. Add: Machine cost incorrectly charged to repairs = $12,000. Less: Depreciation on machine ($12,000 * 20%) = ($2,400). Less: Irrecoverable debt written off = ($1,800). Revised Profit = $42,500 + $12,000 - $2,400 - $1,800 = $50,300. Working for (ii) Corrected Carrying Value: Draft Carrying Value = $85,000. Add: Capitalised machine cost = $12,000. Less: Depreciation on machine = ($2,400). Corrected Carrying Value = $85,000 + $12,000 - $2,400 = $94,600.

Revised Profit (Total 3.5 marks): Add back machine cost of $12,000 [1 mark]; Deduct depreciation of $2,400 [1 mark]; Deduct irrecoverable debt of $1,800 [1 mark]; Correct revised profit of $50,300 [0.5 marks]. Corrected Carrying Value (Total 1 mark): Adjust carrying value for capitalised machine net of depreciation of $9,600 [0.5 marks]; Correct final carrying value of $94,600 [0.5 marks].

Working for (i) Revised Profit: Draft Profit = $63,400. Less: Depreciation on omitted machine ($24,000 * 15%) = ($3,600). Less: Repairs expense incorrectly capitalised = ($3,500). Add: Reversal of incorrect depreciation on repairs ($3,500 * 15%) = $525. Revised Profit = $63,400 - $3,600 - $3,500 + $525 = $56,825. Working for (ii) Corrected Carrying Value: Draft Carrying Value = $115,000. Add: Omitted machine cost = $24,000. Less: Depreciation on omitted machine = ($3,600). Less: Incorrect repairs capitalised cost = ($3,500). Add: Reversal of incorrect depreciation on repairs = $525. Corrected Carrying Value = $115,000 + $24,000 - $3,600 - $3,500 + $525 = $132,425.

Revised Profit (Total 3.5 marks): Deduct depreciation on omitted machine of $3,600 [1 mark]; Deduct repairs expense of $3,500 [1 mark]; Add back incorrect depreciation of $525 [1 mark]; Correct revised profit of $56,825 [0.5 marks]. Corrected Carrying Value (Total 1 mark): Adjust carrying value for omitted machine and repairs net adjustments of +$17,425 [0.5 marks]; Correct final carrying value of $132,425 [0.5 marks].

**Workings:**

1. **Ordinary Share Capital and Share Premium (Rights Issue):**
* Initial Ordinary Share Capital = $400,000
* Number of existing shares = \(\frac{\$400,000}{\$0.50} = 800,000\) shares.
* Number of rights shares issued = \(800,000 \times \frac{1}{4} = 200,000\) shares.
* Value added to Ordinary Share Capital = \(200,000 \times \$0.50 = \$100,000\).
* New Ordinary Share Capital = \(\$400,000 + \$100,000 = \$500,000\).
* Value added to Share Premium = \(200,000 \times (\$0.80 - \$0.50) = 200,000 \times \$0.30 = \$60,000\).
* New Share Premium = \(\$120,000 + \$60,000 = \$180,000\).

2. **Adjusted Profit for the Year & Accrued Interest:**
* Accrued Debenture Interest (second half of the year) = \(\$150,000 \times 8\% \times \frac{6}{12} = \$6,000\).
* Adjusted Profit for the year = \(\$115,000 - \$6,000 = \$109,000\).

3. **Retained Earnings:**
* Opening balance (1 January 2023) = $98,000
* Add: Adjusted profit for the year = $109,000
* Less: Transfer to general reserve = ($20,000)
* Closing Retained Earnings = \(\$98,000 + \$109,000 - \$20,000 = \$187,000\).

4. **General Reserve:**
* Opening balance = $45,000
* Add: Transfer from retained earnings = $20,000
* Closing General Reserve = \(\$45,000 + \$20,000 = \$65,000\).

5. **Revaluation Reserve:**
* Gain on land revaluation = $60,000.

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### **Target Retail Limited**
**Statement of Financial Position (Extract: Equity and Liabilities) at 31 December 2023**

| **Equity and Liabilities** | **$** | **$** |
| :--- | :--- | :--- |
| **Equity** | | |
| Ordinary shares ($0.50 each) | | 500,000 |
| Share premium | | 180,000 |
| Revaluation reserve | | 60,000 |
| General reserve | | 65,000 |
| Retained earnings | | 187,000 |
| **Total Equity** | | **992,000** |
| | | |
| **Non-Current Liabilities** | | |
| 8% Debentures | | 150,000 |
| | | |
| **Current Liabilities** | | |
| Other payables (Accrued interest) | | 6,000 |
| **Total Liabilities** | | **156,000** |
| **Total Equity and Liabilities** | | **1,148,000** |

Marks are awarded as follows (Total: 10 Marks):

* **Ordinary share capital:** $500,000 (1 mark) - For calculation of rights shares \(200,000 \times \$0.50\) added to opening balance.
* **Share premium:** $180,000 (1 mark) - For calculation of premium of $0.30 per share on 200,000 shares added to opening balance.
* **Revaluation reserve:** $60,000 (1 mark) - For correctly isolating the revaluation surplus.
* **General reserve:** $65,000 (1 mark) - For adding the $20,000 transfer to the opening balance.
* **Accrued interest calculation:** $6,000 (1 mark) - Correct calculation of 6 months interest outstanding.
* **Adjusted profit for the year:** $109,000 (1 mark) - For reducing the draft profit of $115,000 by the accrued interest of $6,000.
* **Retained earnings closing balance:** $187,000 (2 marks) - 1 mark for method (Opening + Adjusted Profit - Transfer), 1 mark for accuracy of final figure.
* **Current liabilities (Other payables):** $6,000 (1 mark) - Correctly displaying the accrued debenture interest under current liabilities.
* **Presentation & Structure:** (1 mark) - For presenting the statement in appropriate format with correct sub-headers (Equity, Non-current liabilities, Current liabilities) and appropriate styling.

The rate of inventory turnover in days is calculated using the following formula: \(\frac{\text{Average Inventory}}{\text{Cost of Sales}} \times 365\) days. Average inventory is calculated as: \(\frac{\text{Opening Inventory} + \text{Closing Inventory}}{2}\).

1 mark for identifying the correct components (Average Inventory / Cost of Sales). 1 mark for multiplying by 365 days. (Accept Closing Inventory if Average is not available, but Average is preferred).

A high liquid ratio indicates that current assets (excluding inventory) are high relative to current liabilities. This implies: 1. Idle Cash: Holding cash that could be reinvested or used to pay off debt. 2. Over-investment in Receivables: Inefficient collection policies, increasing the risk of bad debts.

1 mark for each valid reason stated (max 2 marks). Accept: idle/unproductive cash, excessive trade receivables/poor credit control, over-capitalisation.

The formula is: \(\text{ROCE} = \frac{\text{Operating Profit}}{\text{Capital Employed}} \times 100\). Operating Profit is profit before interest and taxation. Capital Employed represents the long-term funds invested in the business, calculated as: \(\text{Total Equity} + \text{Non-current Liabilities}\).

1 mark for the correct formula (Operating Profit / Capital Employed x 100). 1 mark for identifying the components of Capital Employed (Total Equity + Non-current Liabilities).

Formula: \(\frac{\text{Average Trade Payables}}{\text{Credit Purchases}} \times 365\) days. A risk of delaying payment is that suppliers may refuse to supply further goods on credit, withdraw prompt payment discounts, or charge interest on outstanding amounts.

1 mark for the correct formula. 1 mark for explaining a valid risk (e.g., loss of supplier goodwill, withdrawal of cash discounts, or refusal of credit).

Evaluation of Option A (Cash Discount):
- Advantages: It will speed up cash inflows from credit customers, improving the short-term bank balance quickly. It reduces the trade receivables collection period and lowers the risk of bad debts.
- Disadvantages: It directly reduces the company's revenue and gross profit margin by the 4% discount given. Some customers who would have paid within their normal terms anyway might take advantage of the discount, costing the business unnecessarily.

Evaluation of Option B (Extend Credit Terms with Payables):
- Advantages: It delays cash outflows, preserving liquid funds in the bank for an extra 30 days. It effectively acts as an interest-free source of working capital finance without harming profitability.
- Disadvantages: It may severely damage relationships with key suppliers, leading to a loss of goodwill, future refusal of credit, or delayed deliveries. The company will also lose any prompt payment discounts offered by its suppliers.

Conclusion / Recommendation:
While Option A provides an immediate injection of cash, it directly decreases profits. Option B preserves cash without reducing profit margins, but risks critical supply disruptions. It is advised to implement Option B first with selected cooperative suppliers, and only use Option A as a secondary measure if supplier relations cannot be stretched further.

Option A (Max 3 marks):
- 1 mark for explaining that cash inflows will accelerate or the trade receivables payment period will decrease.
- 1 mark for explaining the reduction in profit margin/revenue due to the 4% discount.
- 1 mark for noting the reduction in bad debt risk OR that existing good payers may take the discount unnecessarily.

Option B (Max 3 marks):
- 1 mark for explaining that cash outflows are delayed, keeping cash in the business longer as free finance.
- 1 mark for identifying the risk of damaged supplier relations and potential supply disruptions.
- 1 mark for noting the risk of losing supplier goodwill or prompt payment discounts.

Recommendation (1 mark):
- 1 mark for a clear, reasoned recommendation choosing one option (or a justified combination of both) based on the preceding evaluation.

Financial Calculations:

Option 1 (Special Order of Standard Product):
- Contribution per unit = \( $14 - $11 = $3 \)
- Total contribution / net profit increase = \( 2,000 \text{ units} \times $3 = $6,000 \)

Option 2 (New Product):
- Contribution per unit = \( $28 - $16 = $12 \)
- Total contribution = \( 1,500 \text{ units} \times $12 = $18,000 \)
- Net profit increase (after specific fixed lease costs) = \( $18,000 - $3,500 = $14,500 \)

Comparison:
- Option 2 yields a higher financial benefit by \( $14,500 - $6,000 = $8,500 \).

Qualitative Factors:
- Option 1 is low risk since it is a one-off order for an existing product. However, there is a risk that regular customers might find out about the discounted price and demand similar price cuts, which could damage the firm's long-term pricing structure.
- Option 2 carries higher risk as it involves introducing a new product and committing to a lease. However, it allows Zeta Ltd to diversify its product range and potentially establish a foothold in a more profitable market segment.

Financial calculations (Max 4 marks):
- 1 mark for Option 1 total contribution calculation of $6,000.
- 1 mark for Option 2 unit contribution of $12 or total contribution of $18,000.
- 1 mark for Option 2 net profit calculation of $14,500 (subtracting the $3,500 lease cost).
- 1 mark for comparing the net profit difference ($8,500 in favor of Option 2).

Qualitative factors (Max 2 marks):
- 1 mark for discussing the risks of Option 1 (e.g., impact on normal sales price, customer relations).
- 1 mark for discussing the risks/rewards of Option 2 (e.g., demand uncertainty, product diversification benefits).

Recommendation (1 mark):
- 1 mark for a clear recommendation supported by the candidate's financial and non-financial analysis.

Initial Draft Balance: $14 250. Adjustment 1: Deduct $90 (sales invoice entered as $540 instead of $450). Adjustment 2: No effect on Control Account (omitted from list of balances only). Adjustment 3: Deduct contra entry of $300. Adjustment 4: Deduct cash sales wrongly debited of $1 200. Corrected Balance: \(14250 - 90 - 300 - 1200 = 12660\).

1 mark for deducting $90. 1 mark for stating/applying no adjustment for the credit balance omission. 1 mark for deducting $300. 1 mark for deducting $1 200. 1 mark for the correct final balance of $12 660.

Purchases Ledger Control Account: Draft balance $8 900 + undercast purchases journal $150 - omitted credit note $80 = $8 970. List of balances: Draft total $8 940 - omitted credit note $80 + payment entry error correction $160 ($400 - $240 over-debited) - omitted discount received $50 = $8 970.

PLCA adjustments: 1 mark for adding $150; 1 mark for deducting $80; 1 mark for corrected PLCA balance of $8 970. List adjustments: 0.5 marks for deducting $80; 1 mark for adding $160; 0.5 marks for deducting $50.

Corrected Sales Ledger Control Account balance: Draft balance $22 410 - irrecoverable debts $240 - returns inwards undercast $30 ($90 - $60) = $22 140. Corrected list of balances: Draft total $22 120 + omitted customer balance $380 - sales invoice posting error $360 ($510 - $150) = $22 140.

Control Account adjustments: 1 mark for deducting $240; 1 mark for deducting $30; 1 mark for corrected balance of $22 140. List of balances adjustments: 1 mark for adding $380; 1 mark for deducting $360.

Let us compute the effects of each transaction step-by-step:

1. Opening Balances (1 January 2022):
- Ordinary Share Capital = $200,000
- Number of shares = $200,000 / $0.50 = 400,000 shares
- Share Premium = $45,000
- Retained Earnings = $120,000

2. Rights Issue (1 March 2022):
- Rights shares ratio = 1 for 4
- Number of rights shares issued = 400,000 * 1/4 = 100,000 shares
- Issue price = $0.80 per share
- Total funds raised = 100,000 * $0.80 = $80,000
- Capital portion (nominal value) = 100,000 * $0.50 = $50,000 (credited to Ordinary Share Capital)
- Premium portion = 100,000 * ($0.80 - $0.50) = $30,000 (credited to Share Premium)

3. Bonus Issue (1 August 2022):
- Shares in issue before bonus issue = 400,000 + 100,000 = 500,000 shares
- Bonus shares ratio = 1 for 5
- Number of bonus shares issued = 500,000 * 1/5 = 100,000 shares
- Nominal value of bonus shares = 100,000 * $0.50 = $50,000
- Funded from Share Premium: $50,000 (debited to Share Premium, credited to Ordinary Share Capital)

4. Dividend Paid (1 November 2022):
- Shares in issue before dividend = 500,000 + 100,000 = 600,000 shares
- Dividend per share = $0.05
- Total dividend paid = 600,000 * $0.05 = $30,000 (debited to Retained Earnings)

5. Profit for the Year (31 December 2022):
- Net profit = $85,000 (credited to Retained Earnings)

Reconstructed Ledger Accounts:

Ordinary Share Capital Account
- 1 Jan 2022: Balance b/d = $200,000 (Cr)
- 1 Mar 2022: Bank / Rights issue = $50,000 (Cr)
- 1 Aug 2022: Share Premium / Bonus issue = $50,000 (Cr)
- 31 Dec 2022: Balance c/d = $300,000 (Dr)
- 1 Jan 2023: Balance b/d = $300,000 (Cr)

Share Premium Account
- 1 Jan 2022: Balance b/d = $45,000 (Cr)
- 1 Mar 2022: Bank / Rights issue = $30,000 (Cr)
- 1 Aug 2022: Ordinary Share Capital / Bonus issue = $50,000 (Dr)
- 31 Dec 2022: Balance c/d = $25,000 (Dr)
- 1 Jan 2023: Balance b/d = $25,000 (Cr)

Retained Earnings Account
- 1 Jan 2022: Balance b/d = $120,000 (Cr)
- 1 Nov 2022: Bank / Dividend paid = $30,000 (Dr)
- 31 Dec 2022: Profit for the year = $85,000 (Cr)
- 31 Dec 2022: Balance c/d = $175,000 (Dr)
- 1 Jan 2023: Balance b/d = $175,000 (Cr)

Ordinary Share Capital Account (4 marks):
- Opening Balance ($200,000) and Closing Balance b/d ($300,000) correct [1]
- Rights issue credit entry of $50,000 [1] (or work-in-progress showing 100,000 shares * $0.50)
- Bonus issue credit entry of $50,000 [1] (or work-in-progress showing 100,000 shares * $0.50)
- Balanced correctly with matching totals of $300,000 on both sides [1]

Share Premium Account (4 marks):
- Opening Balance ($45,000) and Closing Balance b/d ($25,000) correct [1]
- Rights issue credit entry of $30,000 [1] (or work-in-progress showing 100,000 shares * $0.30)
- Bonus issue debit entry of $50,000 [1]
- Balanced correctly with matching totals of $75,000 on both sides [1]

Retained Earnings Account (3 marks):
- Dividend payment debit entry of $30,000 [1] (or work-in-progress showing 600,000 shares * $0.05)
- Profit for the year credit entry of $85,000 [1]
- Correct closing balance c/d and opening balance b/d of $175,000 [1]

Step 1: Calculate the contribution per unit.\
\( \text{Contribution per unit} = \text{Selling price} - \text{Total variable costs} \)\
\( \text{Contribution per unit} = \\$24 - (\\$6 + \\$5 + \\$3) = \\$10 \)\
\
Step 2: Calculate total contribution.\
\( \text{Total contribution} = 3,500 \text{ units} \times \\$10 = \\$35,000 \)\
\
Step 3: Calculate total profit.\
\( \text{Total profit} = \text{Total contribution} - \text{Fixed overheads} \)\
\( \text{Total profit} = \\$35,000 - \\$18,000 = \\$17,000 \)

1 mark for calculating contribution per unit of $10. 1 mark for total contribution of $35,000. 0.83 marks for correct final profit of $17,000.

Step 1: Calculate the contribution per unit.\
\( \text{Contribution per unit} = \text{Selling price} - \text{Variable cost per unit} \)\
\( \text{Contribution per unit} = \\$15 - \\$9 = \\$6 \)\
\
Step 2: Calculate the break-even point in units.\
\( \text{Break-even point (units)} = \frac{\text{Fixed costs}}{\text{Contribution per unit}} \)\
\( \text{Break-even point} = \frac{\\$27,000}{\\$6} = 4,500 \text{ units} \)

1 mark for correct contribution per unit of $6. 1 mark for correct division formula. 0.83 marks for the final answer of 4,500 units.

Step 1: Calculate the contribution per unit.\
\( \text{Contribution per unit} = \\$50 - \\$30 = \\$20 \)\
\
Step 2: Calculate the break-even point in units.\
\( \text{Break-even point} = \frac{\\$120,000}{\\$20} = 6,000 \text{ units} \)\
\
Step 3: Calculate the margin of safety in units.\
\( \text{Margin of safety} = 8,000 \text{ units (budgeted)} - 6,000 \text{ units (break-even)} = 2,000 \text{ units} \)\
\
Step 4: Calculate the margin of safety percentage.\
\( \text{Margin of safety \\%} = \left( \frac{2,000}{8,000} \right) \times 100 = 25\\% \)

1 mark for calculating break-even point of 6,000 units. 1 mark for calculating margin of safety of 2,000 units. 0.83 marks for calculating correct percentage of 25%.

Step 1: Identify the limiting factor, which is labour hours.\
\
Step 2: Calculate the contribution per labour hour for Product Y.\
\( \text{Contribution per hour (Product Y)} = \frac{\text{Contribution per unit of Y}}{\text{Labour hours required for Y}} \)\
\( \text{Contribution per hour} = \frac{\\$10}{2 \text{ hours}} = \\$5 \text{ per hour} \)\
\
(For comparison, Product X is \( \frac{\\$12}{3} = \\$4 \text{ per hour}\), so Product Y has higher priority).

1 mark for identifying the correct formula for contribution per limiting factor. 1.83 marks for correct calculation of $5 per hour for Product Y.

Step 1: Calculate total variable cost per unit sold.\
\( \text{Total variable cost per unit} = \text{Variable production cost} + \text{Variable selling cost} \)\
\( \text{Total variable cost per unit} = \\$15 + \\$3 = \\$18 \)\
\
Step 2: Calculate contribution per unit.\
\( \text{Contribution per unit} = \\$40 - \\$18 = \\$22 \)\
\
Step 3: Calculate total contribution.\
\( \text{Total contribution} = 4,000 \text{ units sold} \times \\$22 = \\$88,000 \)\
\
Step 4: Calculate net profit by deducting period fixed costs.\
\( \text{Profit} = \text{Total contribution} - \text{Fixed costs} \)\
\( \text{Profit} = \\$88,000 - \\$50,000 = \\$38,000 \)

1 mark for correct contribution per unit of $22. 1 mark for correct total contribution of $88,000. 0.83 marks for correct final profit of $38,000 under marginal costing.

Step 1: Calculate contribution per unit.\
\( \text{Contribution per unit} = \\$80 - \\$45 = \\$35 \)\
\
Step 2: Use the target profit formula to find required sales units.\
\( \text{Required sales (units)} = \frac{\text{Fixed costs} + \text{Target profit}}{\text{Contribution per unit}} \)\
\( \text{Required sales (units)} = \frac{\\$45,000 + \\$25,000}{\\$35} \)\
\( \text{Required sales (units)} = \frac{\\$70,000}{\\$35} = 2,000 \text{ units} \)

1 mark for contribution per unit of $35. 1 mark for summing Fixed Costs and Target Profit ($70,000). 0.83 marks for the correct final answer of 2,000 units.

Cost-volume-profit (CVP) analysis is based on several simplifying assumptions which limit its usefulness in real-world scenarios. 1. Constant Selling Price: It assumes selling price per unit is constant at all levels of activity. In reality, a firm may have to lower its price to increase sales volume or offer quantity discounts. 2. Constant Variable Cost: It assumes variable cost per unit is constant. However, purchasing materials in bulk can lower unit costs, or wage rate changes can increase unit labor costs. 3. Single Product or Constant Sales Mix: CVP assumes the business sells one product or a constant mix of products. In practice, product mix changes constantly based on demand, which alters the average contribution-to-sales ratio.

Award 1 mark for each valid limitation explained, up to a maximum of 3 marks. Award 1 mark for identifying and explaining: - Constant selling price assumption / volume discounts (1 mark). - Constant variable cost per unit / economies of scale (1 mark). - Step-up of fixed costs / fixed costs are not entirely constant (1 mark). - Constant sales mix assumption / multi-product limitations (1 mark). - Inventory levels remaining constant / production equals sales (1 mark).