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First, calculate the number of shares after the bonus issue: \(1,000,000 + (1,000,000 / 5) = 1,200,000\) shares. The bonus issue increases Share Capital by the nominal value of the shares issued: \(200,000 \times \$0.50 = \$100,000\). Next, calculate the number of shares issued in the rights issue: \(1,200,000 / 4 = 300,000\) shares. The rights issue is made at $0.80 per share, but only the nominal value ($0.50 per share) is credited to the Share Capital account: \(300,000 \times \$0.50 = \$150,000\) (the remaining $0.30 per share goes to Share Premium). Final Share Capital balance = $500,000 (initial) + $100,000 (bonus) + $150,000 (rights) = $750,000.

1 mark for the correct option. Award 1 mark for calculating the final share capital balance of $750,000.

The corrected cash book balance is updated with items that have occurred but are not yet recorded in the cash book. These are the bank charges ($120) and the dishonoured cheque ($350). Outstanding unpresented cheques ($850) and uncredited receipts ($1,400) are bank reconciliation items and do not affect the cash book balance itself. Starting with a credit balance (overdraft) of $4,500: Corrected Cash Book Balance = \(-\$4,500 - \$120 - \$350 = -\$4,970\) (or $4,970 overdrawn).

1 mark for the correct option. Award 1 mark for the correct calculation of the updated overdraft balance.

First, calculate the contribution per unit of the limiting factor (machine hours). For Product X: Contribution = \(\$30 - \$18 = \$12\). Contribution per machine hour = \(\$12 / 2 = \$6.00\). For Product Y: Contribution = \(\$45 - \$25 = \$20\). Contribution per machine hour = \(\$20 / 4 = \$5.00\). Ranking: Product X (1st), Product Y (2nd). Allocate the 10,000 available machine hours: First, satisfy maximum demand of Product X: \(3,000 \text{ units} \times 2 \text{ hours} = 6,000\) hours. Remaining hours = \(10,000 - 6,000 = 4,000\) hours. Use remaining hours for Product Y: \(4,000 \text{ hours} / 4 \text{ hours per unit} = 1,000\) units. Optimal production plan: 3,000 units of X and 1,000 units of Y.

1 mark for the correct option. Award 1 mark for the optimal product mix calculation using limiting factor analysis.

First, calculate average inventory: \((\$40,000 + \$48,000) / 2 = \$44,000\). Since inventory turnover is 5 times, Cost of Sales = \(5 \times \$44,000 = \$220,000\). Given a gross profit margin of 20%, the cost of sales represents 80% of revenue (\(100\% - 20\%\)). Sales = \(\$220,000 / 0.80 = \$275,000\).

1 mark for the correct option. Award 1 mark for identifying the correct relationship between inventory turnover, average inventory, cost of sales, and sales.

Predetermined overhead absorption rate (OAR) = \(\$150,000 / 30,000 = \$5.00\) per direct labor hour. Overheads absorbed = \(32,000 \text{ actual hours} \times \$5.00 = \$160,000\). Actual overheads incurred = $156,000. Overhead absorbed exceeds actual overheads by: \(\$160,000 - \$156,000 = \$4,000\). Thus, overheads are $4,000 over-absorbed.

1 mark for the correct option. Award 1 mark for calculating the predetermined overhead absorption rate and applying actual hours to find over-absorption.

First, address the rent error: because a prepayment of $1,200 was treated as an accrual of $1,200, the draft expenses were overstated by $2,400 (removing the incorrect accrual reduces expenses by $1,200, and adding the correct prepayment reduces expenses by another $1,200). Therefore, draft profit must be increased by $2,400. Second, the bad debt write-off of $800 decreases profit. Corrected profit = \(\$84,500 + \$2,400 - \$800 = \$86,100\).

1 mark for the correct option. Award 1 mark for applying both profit adjustments correctly.

The period from purchase to disposal is 2 years and 6 months (2.5 years). Annual depreciation = \(20\% \times \$120,000 = \$24,000\). Accumulated depreciation over 2.5 years = \(2.5 \times \$24,000 = \$60,000\). Net Book Value (carrying value) at disposal = \(\$120,000 - \$60,000 = \$60,000\). Disposal proceeds = $55,000. Loss on disposal = \(\$60,000 - \$55,000 = \$5,000\) loss.

1 mark for the correct option. Award 1 mark for correct depreciation and loss calculation.

First, calculate the contribution per unit: \(\$25 - \$15 = \$10\). Next, calculate the break-even sales in units: \(\$60,000 / \$10 = 6,000\) units. Next, calculate the target sales in units to achieve the target profit: \((\$60,000 + \$30,000) / \$10 = 9,000\) units. The margin of safety is the difference between target sales and break-even sales: \(9,000 - 6,000 = 3,000\) units (or calculated directly as \(\text{Target Profit} / \text{Contribution per unit} = \$30,000 / \$10 = 3,000\) units).

1 mark for the correct option. Award 1 mark for determining the correct margin of safety in units.

First, calculate the existing number of ordinary shares: \(\$200,000 / \$0.50 = 400,000\) shares. The rights issue consists of 1 new share for every 4 shares held, which equals \(400,000 / 4 = 100,000\) new shares. The total issue price is $0.80 per share, where the nominal value is $0.50 and the premium is \(\$0.80 - \$0.50 = \$0.30\) per share. The increase in ordinary share capital is \(100,000 \times \$0.50 = \$50,000\), resulting in a new balance of \(\$200,000 + \$50,000 = \$250,000\). The increase in the share premium account is \(100,000 \times \$0.30 = \$30,000\), resulting in a new balance of \(\$40,000 + \$30,000 = \$70,000\).

[1 mark] award for option A. [0 marks] for incorrect options. Note: Award 1 mark for correct calculation of both adjusted balances.

To find the corrected sales ledger control account balance, adjust the draft balance for the errors affecting the general ledger control account: Draft balance of $42,500 + Undercast of sales journal $270 - Omitted discount allowed $120 - Omitted bad debt write-off $300 = $42,350. (Note: Both the discount allowed and the bad debt write-off reduce the debit balance of the control account, while the undercast of the sales journal increases it).

[1 mark] award for option C. [0 marks] for incorrect options. Method: Correctly apply debit and credit adjustments to the draft balance.

Contribution per unit = \(\text{Selling price} - \text{Variable cost} = \$50 - \$30 = \$20\). Total required contribution to achieve the target profit = \(\text{Fixed costs} + \text{Target profit} = \$120,000 + \$30,000 = \$150,000\). Required sales in units = \(\text{Total required contribution} / \text{Contribution per unit} = \$150,000 / \$20 = 7,500\) units.

[1 mark] award for option C. [0 marks] for incorrect options. Method: Calculate unit contribution and divide total target contribution by unit contribution.

First, calculate the cost of sales. Given a 25% markup on cost: \(\text{Revenue} = \text{Cost of Sales} \times 1.25\), so \(\text{Cost of Sales} = \$600,000 / 1.25 = \$480,000\). Next, calculate the average inventory: \((\$45,000 + \$51,000) / 2 = \$48,000\). Finally, calculate the inventory turnover: \(\text{Cost of Sales} / \text{Average Inventory} = \$480,000 / \$48,000 = 10.00\) times.

[1 mark] award for option B. [0 marks] for incorrect options. Method: Determine cost of sales using markup, compute average inventory, and divide to get the rate.

Overhead absorbed = \(\text{Actual hours worked} \times \text{Predetermined overhead absorption rate} = 11,500 \times \$15 = \$172,500\). Compare this with the actual overheads incurred: \(\text{Actual Overheads} = \$176,500\). Since the absorbed overheads ($172,500) are less than the actual overheads incurred ($176,500), the overheads are under-absorbed by \(\$176,500 - \$172,500 = \$4,000\).

[1 mark] award for option D. [0 marks] for incorrect options. Method: Calculate absorbed overhead using actual hours and subtract actual overhead to find under/over absorption.

Adjustments to draft profit: 1. Undervaluation of closing inventory: Correcting this increases closing inventory and therefore increases profit. Add $3,200. 2. Rent adjustment: Treating a prepayment of $1,500 as an accrual of $1,500 overstated rent expense by \(\$1,500 \times 2 = \$3,000\). Correcting this decreases expenses and increases profit. Add $3,000. Corrected profit = \(\$84,600 + \$3,200 + \$3,000 = \$90,800\).

[1 mark] award for option D. [0 marks] for incorrect options. Method: Correctly apply the direction and double-impact adjustment of the prepayment error.

Option A is an error of omission, meaning no debit and no credit was recorded, which does not affect the trial balance agreement. Option B is an error of principle, where a debit was made to the wrong class of account, but debits still equal credits. Option D is an error of original entry, where the same incorrect amount was entered on both sides, keeping them equal. Option C is a transposition error occurring in only one account (sales account), which will make the debit and credit totals of the trial balance unequal.

[1 mark] award for option C. [0 marks] for incorrect options. Method: Identify the error that violates the double-entry equality of debit and credit amounts.

Under the reducing balance method: Year 2021 Depreciation = \(20\% \times \$80,000 = \$16,000\). Carrying value at 31 Dec 2021 = \(\$80,000 - \$16,000 = \$64,000\). Year 2022 Depreciation = \(20\% \times \$64,000 = \$12,800\). Carrying value at 31 Dec 2022 = \(\$64,000 - \$12,800 = \$51,200\). Since no depreciation is charged in the year of disposal (2023), the carrying value at disposal is $51,200. Disposal loss = \(\text{Carrying value} - \text{Disposal proceeds} = \$51,200 - \$45,000 = \$6,200\) loss.

[1 mark] award for option B. [0 marks] for incorrect options. Method: Apply correct depreciation policy over the years, compute carrying value at disposal, and determine the loss.

1. **Initial shares**: \(500,000\) shares.
2. **Rights Issue**:
- Number of new shares = \(500,000 \div 5 = 100,000\) shares.
- Issue price = \(\$0.80\) per share (Nominal value = \(\$0.50\), Premium = \(\$0.30\) per share).
- Premium added = \(100,000 \times \$0.30 = \$30,000\).
- Share premium balance after rights issue = \(\$80,000 + \$30,000 = \$110,000\).
- Total ordinary shares after rights issue = \(500,000 + 100,000 = 600,000\) shares.
3. **Bonus Issue**:
- Number of bonus shares = \(600,000 \div 6 = 100,000\) shares.
- Nominal value of bonus shares to be funded = \(100,000 \times \$0.50 = \$50,000\).
- Funding this from the share premium account reduces the balance by \(\$50,000\).
4. **Final Balance**: \(\$110,000 - \$50,000 = \$60,000\).

1 mark for the correct option B.
- Option A incorrectly calculates the bonus issue based only on initial shares.
- Option C is the balance after the rights issue but before the bonus issue.
- Option D incorrectly treats the bonus issue as adding to the premium.

1. **Adjusted Bank Balance**:
- Start with bank statement overdraft: \(-\$3,450\) (Debit balance on bank statement represents an overdraft).
- Add deposits in transit: \(+\$2,100\).
- Deduct unpresented cheques: \(-\$1,400\).
- Adjusted cash book balance = \(-\$3,450 + \$2,100 - \$1,400 = -\$2,750\) (credit balance/overdraft).
2. **Unadjusted Cash Book Balance**:
- Let \(X\) be the unadjusted cash book balance.
- \(X - \$120 \text{ (bank charges)} - \$850 \text{ (dishonoured cheque)} = -\$2,750\).
- \(X = -\$2,750 + \$120 + \$850 = -\$1,780\).
- A negative balance of \(\$1,780\) represents a credit balance of \(\$1,780\) in the cash book.

1 mark for the correct option A.
- Option B is the adjusted cash book balance.
- Option C is obtained by incorrectly adding the cash book adjustments to the adjusted bank balance instead of subtracting.
- Option D is obtained by starting with the bank statement balance as a positive cash balance.

To maximize profit under a limiting factor, products must be ranked by contribution per unit of limiting factor (labour hours):
1. **Contribution per unit**:
- Product X: \(\$50 - \$30 = \$20\)
- Product Y: \(\$60 - \$36 = \$24\)
- Product Z: \(\$80 - \$50 = \$30\)
2. **Contribution per labor hour**:
- Product X: \(\$20 \div 2 \text{ hours} = \$10.00\) per hour
- Product Y: \(\$24 \div 3 \text{ hours} = \$8.00\) per hour
- Product Z: \(\$30 \div 4 \text{ hours} = \$7.50\) per hour
3. **Ranking**:
- 1st: Product X (\(\$10.00\))
- 2nd: Product Y (\(\$8.00\))
- 3rd: Product Z (\(\$7.50\))

1 mark for the correct option A.
- Option B ranks by contribution per unit without dividing by the limiting factor hours.
- Options C and D are incorrect rankings based on incorrect calculations of unit and hourly contributions.

Let's assume initial Current Assets (CA) = \(\$150,000\) and Current Liabilities (CL) = \(\$100,000\). Current Ratio = 1.5:1.
Assume Liquid Assets (QA) = \(\$80,000\). Liquid Ratio = 0.8:1.

Now, the company pays \(\$10,000\) in cash:
- CA decreases by \(\$10,000\) to \(\$140,000\).
- QA decreases by \(\$10,000\) to \(\$70,000\).
- CL decreases by \(\$10,000\) to \(\$90,000\).

1. **New Current Ratio** = \(\$140,000 \div \$90,000 = 1.56:1\) (Increase).
2. **New Liquid Ratio** = \(\$70,000 \div \$90,000 = 0.78:1\) (Decrease).

1 mark for the correct option C.
- When a ratio is greater than 1, reducing both numerator and denominator by the same amount increases the ratio.
- When a ratio is less than 1, reducing both numerator and denominator by the same amount decreases the ratio.

1. **Predetermined Overhead Absorption Rate (OAR)**:
\(\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Hours}} = \frac{\$180,000}{45,000} = \$4.00\) per direct labor hour.
2. **Overheads Absorbed**:
\(\text{Absorbed Overheads} = \text{Actual Hours} \times \text{OAR} = 47,000 \times \$4.00 = \$188,000\).
3. **Over/Under-absorption**:
\(\text{Actual Overheads} = \$195,000\).
Since absorbed overheads (\(\$188,000\)) are less than actual overheads incurred (\(\$195,000\)), there is an under-absorption of:
\(\$195,000 - \$188,000 = \$7,000\) under-absorbed.

1 mark for the correct option B.
- Option A incorrectly determines that the \(\$7,000\) is over-absorbed.
- Option C uses the actual rate incorrectly.
- Option D calculates only the difference between budgeted and actual overheads without looking at absorption based on actual hours worked.

1. **Correction of repairs error (capital versus revenue expenditure)**:
- Revenue expense (repairs) was omitted, so profit must be decreased by \(\$1,800\).
- However, because \(\$1,800\) was added to the asset value, incorrect depreciation of \(20\% \times \$1,800 = \$360\) was recorded. Removing this incorrect depreciation increases profit by \(\$360\).
- Net impact of repairs correction = \(-\$1,800 + \$360 = -\$1,440\).
2. **Correction of inventory error**:
- Closing inventory was overvalued by \(\$1,200\). Reducing closing inventory increases cost of sales and thus reduces profit by \(\$1,200\).
3. **Calculation**:
Corrected profit = \(\$74,200 - \$1,440 - \$1,200 = \$71,560\).

1 mark for the correct option C.
- Option A is incorrect because it subtracts the \(\$360\) depreciation instead of adding it back.
- Option B is incorrect because it fails to adjust for the depreciation error entirely.
- Option D incorrectly adds the inventory correction.

We can reconcile the trade payables control account (PLCA) and the list of balances (PLL) as follows:

1. **Reconciliation of PLCA**:
- Draft PLCA balance: \(\$15,800\)
- Adjust for purchase invoice understatement (Error 2): \(+\$270\) (\(\$300 - \$30\))
- Adjust for payment omitted (Error 3): \(-\$1,200\)
- Corrected PLCA balance = \(\$15,800 + \$270 - \$1,200 = \$14,870\)

2. **Verification with PLL**:
- Draft PLL total: \(\$15,100\)
- Adjust for payment omitted from supplier's account (Error 1): \(-\$500\)
- Adjust for purchase invoice understatement (Error 2): \(+\$270\)
- Corrected PLL total = \(\$15,100 - \$500 + \$270 = \$14,870\)

1 mark for the correct option B.
- Option A only corrects Error 1 on the individual ledger balance.
- Option C represents an incorrect combination of adjustments.
- Option D only applies Error 2 to the control account without adjusting for Error 3.

1. **Depreciation before revaluation (2019 & 2020)**:
- \(2 \text{ years} \times 2\% \times \$200,000 = \$8,000\).
- Carrying Value (CV) at 1 Jan 2021 before revaluation = \(\$200,000 - \$8,000 = \$192,000\).
2. **Revaluation on 1 Jan 2021**:
- New valuation = \(\$240,000\).
- Remaining useful life = \(50 \text{ years} - 2 \text{ years} = 48 \text{ years}\).
3. **Depreciation after revaluation (2021, 2022 & 2023)**:
- New annual depreciation = \(\$240,000 \div 48 \text{ years} = \$5,000\) per year.
- Total depreciation for 3 years = \(\$5,000 \times 3 = \$15,000\).
4. **Disposal on 31 Dec 2023**:
- CV at 31 Dec 2023 = \(\$240,000 - \$15,000 = \$225,000\).
- Sale proceeds = \(\$230,000\).
- Profit on disposal = Sale proceeds - CV = \(\$230,000 - \$225,000 = \$5,000\) profit.

1 mark for the correct option B.
- Option A incorrectly defines it as a loss.
- Option C incorrectly includes the \(\$48,000\) revaluation surplus directly in the disposal account profit calculation.
- Option D uses incorrect depreciation rates after revaluation.

Let us calculate the new contribution per unit and target requirements:
1. New Selling Price: \( \$25.00 \times (1 - 0.10) = \$22.50 \)
2. Variable Cost per unit: \( \$8 + \$6 + \$2 = \$16.00 \)
3. New Contribution per unit: \( \$22.50 - \$16.00 = \$6.50 \)
4. New Fixed Overheads: \( \$36,000 + \$4,000 = \$40,000 \)
5. Target Profit: \( \$18,500 \)

Required Contribution = \( \text{Fixed Overheads} + \text{Target Profit} = \$40,000 + \$18,500 = \$58,500 \)

Required Sales (units) = \( \frac{\$58,500}{\$6.50} = 9,000 \text{ units} \)

1 mark for the correct answer of 9,000 units.
- Option A (6,000 units) is incorrect as it uses old contribution and old fixed costs.
- Option B (6,500 units) is incorrect as it uses the new fixed costs but incorrect original contribution.
- Option D (11,700 units) is incorrect as it arises from assuming variable cost of $17.50.

Let us compute the step-by-step movements in the Share Premium account:
1. **Determine original number of shares:**
\( \text{Original shares} = \frac{\$200,000}{\$0.50} = 400,000 \text{ shares} \)

2. **Calculate Rights Issue impact:**
- Ratio: 1 for 4
- New shares issued: \( 400,000 \div 4 = 100,000 \text{ shares} \)
- Premium per share: \( \$1.20 - \$0.50 = \$0.70 \)
- Increase in Share Premium: \( 100,000 \times \$0.70 = \$70,000 \)
- Share Premium balance after rights issue: \( \$80,000 + \$70,000 = \$150,000 \)
- Total ordinary shares now in issue: \( 400,000 + 100,000 = 500,000 \text{ shares} \)

3. **Calculate Bonus Issue impact:**
- Ratio: 1 for 5
- Bonus shares issued: \( 500,000 \div 5 = 100,000 \text{ shares} \)
- Nominal value of bonus shares (at $0.50 nominal): \( 100,000 \times \$0.50 = \$50,000 \)
- Share Premium used to fund bonus issue: \( \$50,000 \)
- Final Share Premium balance: \( \$150,000 - \$50,000 = \$100,000 \)

1 mark for the correct answer of $100,000.
- Option A ($40,000) is incorrect because it treats nominal value as $1.00 instead of $0.50.
- Option B ($50,000) is incorrect due to arithmetic and ratio application errors.
- Option D ($150,000) is incorrect because it fails to subtract the bonus issue amount from the share premium.

The liquid (acid test) ratio is calculated as:
\( \text{Liquid Ratio} = \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} = \frac{\text{Liquid Assets}}{\text{Current Liabilities}} \)

- **Option C (Selling inventory on credit):** This increases trade receivables (which are part of liquid assets) and decreases inventory (which is excluded from liquid assets). Therefore, liquid assets increase while current liabilities remain unchanged. This transaction always increases the liquid ratio regardless of whether the initial ratio is above or below 1 : 1.
- **Option A (Purchasing inventory on credit):** This increases current liabilities without changing liquid assets, which always decreases the ratio.
- **Option B (Paying a trade payable in cash):** This reduces both liquid assets and current liabilities by the same amount. The impact on the ratio depends on whether the starting ratio is greater than 1.0 (which increases it) or less than 1.0 (which decreases it).
- **Option D (Withdrawing cash):** This reduces cash (liquid asset), decreasing the ratio.

1 mark for selecting C.
0 marks for other options.

Step 1: Calculate the corrected cash book balance
- Draft cash book balance: \( -\$4,500 \) (credit/overdraft)
- Less: bank charges: \( -\$120 \)
- Less: dishonoured cheque: \( -\$850 \)
- Corrected cash book balance: \( -\$4,500 - \$120 - \$850 = -\$5,470 \) (credit/overdraft)

Step 2: Reconcile corrected cash book to find bank statement balance
\( \text{Corrected Cash Book} = \text{Bank Statement Balance} + \text{Uncredited Deposits} - \text{Unpresented Cheques} \)
\( -\$5,470 = \text{Bank Statement Balance} + \$2,100 - \$1,400 \)
\( -\$5,470 = \text{Bank Statement Balance} + \$700 \)
\( \text{Bank Statement Balance} = -\$5,470 - \$700 = -\$6,170 \) (debit/overdraft of \( \$6,170 \))

1 mark for the correct answer of Overdraft of $6,170.
- Option A ($4,770) is incorrect because uncredited and unpresented transactions were reversed in the reconciliation.
- Option B ($5,470) is the corrected cash book balance rather than the bank statement balance.
- Option D ($5,200) is incorrect because the cash book was not updated for bank charges and dishonoured cheques.

1. Calculate the budgeted overhead absorption rate (OAR) per unit:
\( \text{OAR} = \frac{\text{Budgeted fixed overheads}}{\text{Budgeted production}} = \frac{\$180,000}{20,000 \text{ units}} = \$9.00 \text{ per unit} \)

2. Calculate the fixed overheads absorbed during the period:
\( \text{Absorbed overheads} = \text{Actual production} \times \text{OAR} = 22,500 \text{ units} \times \$9.00 = \$202,500 \)

3. Compare absorbed overheads with actual overheads incurred:
\( \text{Over-absorption} = \text{Absorbed overheads} - \text{Actual overheads incurred} = \$202,500 - \$194,000 = \$8,500 \text{ (over-absorbed)} \)

Since the absorbed overheads of $202,500 exceed the actual overheads incurred of $194,000, overheads are over-absorbed by $8,500.

1 mark for selecting B.
- Option A ($8,500 under-absorbed) is incorrect due to a directional error in interpreting absorption.
- Option C ($14,000 under-absorbed) is incorrect because it compares budgeted overhead directly to actual overhead without calculating absorption based on actual production.
- Option D ($22,500 over-absorbed) is incorrect as it represents the volume variance in units multiplied by OAR without comparison to actual overheads.

1. **Inventory correction:**
Closing inventory was overvalued by: \( \$8,400 - \$6,000 = \$2,400 \).
Correcting this overvaluation will reduce closing inventory, which reduces both gross profit and profit for the year.
\( \text{Corrected Gross Profit} = \$56,000 - \$2,400 = \$53,600 \).

2. **Rent correction:**
An accrual of $1,200 was mistakenly subtracted as a prepayment rather than added as an accrual.
The total impact on the rent expense is: \( 2 \times \$1,200 = \$2,400 \) understatement of expenses.
Correcting this increases rent expense by $2,400, which reduces profit for the year. Rent does not affect gross profit.
\( \text{Corrected Profit for the Year} = \$24,000 - \$2,400 \text{ (inventory correction)} - \$2,400 \text{ (rent correction)} = \$19,200 \).

1 mark for correct selection of Option A.
- Option B is incorrect as it only adjusts the rent error by $1,200 instead of $2,400.
- Option C is incorrect because it neglects to adjust gross profit for the inventory overvaluation.
- Option D is incorrect as it fails to adjust gross profit and only makes a single adjustment for rent on net profit.

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

| Item | Working | $ |
| :--- | :--- | :---: |
| **Revenue** | | 680,000 |
| **Cost of sales** | | (390,000) |
| **Gross Profit** | | **290,000** |
| Administrative expenses | \( 94,000 + 3,500 \text{ (accrual)} + 4,000 \text{ (depreciation)} \) | (101,500) |
| Distribution costs | \( 68,000 - 1,800 \text{ (prepayment)} + 14,400 \text{ (depreciation)} \) | (80,600) |
| **Profit from operations** | | **107,900** |
| Finance costs | \( 6\% \times 80,000 \text{ (debenture interest)} \) | (4,800) |
| **Profit before tax** | | **103,100** |
| Income tax | | (18,000) |
| **Profit for the year** | | **85,100** |

**Workings for Expenses:**
* **Depreciation on Buildings:** \( 2\% \times \$200,000 = \$4,000 \)
* **Depreciation on Equipment:** \( 20\% \times (\$120,000 - \$48,000) = 20\% \times \$72,000 = \$14,400 \)

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

| | Share Capital ($) | Share Premium ($) | Revaluation Reserve ($) | Retained Earnings ($) | Total ($) |
| :--- | :---: | :---: | :---: | :---: | :---: |
| **Balance at 1 January 2023** | 150,000 | 5,000 | 12,000 | 45,000 | 212,000 |
| Rights Issue | 50,000 | 25,000 | - | - | 75,000 |
| Profit for the year | - | - | - | 85,100 | 85,100 |
| Revaluation of Land | - | - | 50,000 | - | 50,000 |
| Dividends paid | - | - | - | (20,000) | (20,000) |
| **Balance at 31 December 2023** | **200,000** | **30,000** | **62,000** | **110,100** | **402,100** |

*Working for Dividends:* \( 400,000 \text{ shares in issue} \times \$0.05 = \$20,000 \).
*Working for Revaluation:* \( \$150,000 \text{ (new value)} - \$100,000 \text{ (cost)} = \$50,000 \text{ gain} \).

(c)
1. **Voting Rights:** Ordinary shareholders have voting rights at AGMs, whereas preference shareholders generally do not have voting rights.
2. **Dividend Priority:** Preference shareholders receive dividends before ordinary shareholders.
3. **Dividend Rates:** Preference shares pay a fixed rate of dividend, whereas ordinary share dividends are variable and depend on company performance.

(a) Statement of Profit or Loss (14 Marks):
- Revenue & Cost of sales: 1 Mark (for both)
- Administrative expenses: 3 Marks (1 Mark for draft + accrual, 1 Mark for depreciation working, 1 Mark for final total)
- Distribution costs: 3 Marks (1 Mark for draft + prepayment, 1 Mark for reducing-balance depreciation working, 1 Mark for final total)
- Profit from operations: 1 Mark (O/F)
- Finance costs: 2 Marks (1 Mark for working, 1 Mark for value)
- Profit before tax: 1 Mark (O/F)
- Tax: 1 Mark
- Profit for the year: 2 Marks (O/F)

(b) Statement of Changes in Equity (5.5 Marks):
- Opening balances: 1 Mark (for all correct)
- Rights Issue entry: 1 Mark
- Profit for the year entry: 1 Mark (O/F)
- Revaluation entry: 1 Mark
- Dividends paid: 1 Mark
- Final closing balances: 0.5 Mark

(c) Differences between ordinary/preference shares (3 Marks):
- 1 Mark for each valid distinct point compared up to a maximum of 3.

(a)
**Apex Traders**
**Cash Book (Bank Column) as at 31 May 2023**

| Date | Details | Receipts ($) | Details | Payments ($) |
| :--- | :--- | :---: | :--- | :---: |
| 31 May | Credit transfer (S. Patel) | 1,400 | Balance b/d (overdraft) | 2,450 |
| | Balance c/d (overdraft) | 3,040 | Bank charges | 185 |
| | | | Standing order (Insurance) | 340 |
| | | | Dishonoured cheque (T. Harrison) | 920 |
| | | | Error correction (M. Johnson) | 270 |
| | | | Drawings (personal expense) | 275 |
| | **Total** | **4,440** | **Total** | **4,440** |
| | | | **Balance b/d** | **3,040** |

*Working for M. Johnson Error:* Recorded as $360 instead of $630. Extra payment to record: \( \$630 - \$360 = \$270 \).

(b)
**Apex Traders**
**Bank Reconciliation Statement as at 31 May 2023**

| Item | $ | $ |
| :--- | :---: | :---: |
| **Updated Cash Book Balance (Credit/Overdrawn)** | | **(3,040)** |
| *Add:* Unpresented cheques | | 7,490 |
| | | 4,450 |
| *Less:* Outstanding deposits (not yet credited) | | (2,840) |
| **Balance as per Bank Statement (Credit)** | | **1,610** |

(c) Control accounts are prepared to:
1. Verify the arithmetical accuracy of the sales and purchases ledgers.
2. Locate and isolate errors when the trial balance fails to balance.
3. Deter and detect fraud and collusion among employees.
4. Provide an immediate total balance of trade receivables and trade payables for financial statements.

(d)
1. **Error of Omission:** A transaction is completely omitted from the prime books of entry and the ledger accounts (e.g., selling goods on credit and not recording it anywhere).
2. **Error of Commission:** An entry is made to the correct side of the ledger, but in the wrong personal account (e.g., debiting the account of J. Green instead of J. Greene).

(a) Updated Cash Book (9 Marks):
- Opening Balance credit side: 1 Mark
- Credit transfer debit side: 1 Mark
- Bank charges credit side: 1 Mark
- Standing order credit side: 1 Mark
- Dishonoured cheque credit side: 1 Mark
- Error correction ($270) credit side: 1.5 Marks (1 for location, 0.5 for amount)
- Drawings (direct debit) credit side: 1 Mark
- Correct closing balance b/d: 1.5 Marks

(b) Bank Reconciliation Statement (6.5 Marks):
- Title and correct heading: 0.5 Mark
- Starting with correct updated cash book balance: 1 Mark (O/F)
- Unpresented cheques addition: 2 Marks
- Outstanding deposits deduction: 2 Marks
- Ending balance as per bank statement matching: 1 Mark

(c) Purpose of control accounts (4 Marks):
- 1 Mark for each valid explanation point up to a maximum of 4.

(d) Two errors (3 Marks):
- 1.5 Marks for each error correctly identified and described.

(a)
**Calculation of Unit Contribution and Contribution per kg:**

| Feature | Product X | Product Y | Product Z |
| :--- | :---: | :---: | :---: |
| **Selling Price ($)** | **60.00** | **80.00** | **110.00** |
| *Less Variable Costs:* | | | |
| Direct Materials ($5/kg) | (15.00) | (20.00) | (35.00) |
| Direct Labour ($10/hr) | (20.00) | (30.00) | (40.00) |
| Variable Overheads | (5.00) | (6.00) | (7.00) |
| **Unit Contribution ($)** | **20.00** | **24.00** | **28.00** |
| Material required per unit (kg) | 3 kg | 4 kg | 7 kg |
| **Contribution per kg ($)** | **6.67** | **6.00** | **4.00** |
| **Ranking** | **1st** | **2nd** | **3rd** |

*Workings:*
* Product X: \( \$20 / 3 \text{ kg} = \$6.67 \text{ per kg} \)
* Product Y: \( \$24 / 4 \text{ kg} = \$6.00 \text{ per kg} \)
* Product Z: \( \$28 / 7 \text{ kg} = \$4.00 \text{ per kg} \)

(b)
**Optimal Production Plan:**
* Total material available: 11,500 kg

1. **Produce Product X (1st Rank):**
* Units to produce: 2,000 units (maximum demand)
* Material used: \( 2,000 \times 3 \text{ kg} = 6,000 \text{ kg} \)
* Remaining material: \( 11,500 - 6,000 = 5,500 \text{ kg} \)

2. **Produce Product Y (2nd Rank):**
* Maximum demand is 1,500 units (requires 6,000 kg).
* Since only 5,500 kg is left, we produce: \( 5,500 \text{ kg} / 4 \text{ kg} = 1,375 \text{ units} \).
* Remaining material: 0 kg.

3. **Produce Product Z (3rd Rank):**
* Units to produce: 0 units.

**Total Contribution and Profit Calculation:**

| Product | Quantity (units) | Unit Contribution ($) | Total Contribution ($) |
| :--- | :---: | :---: | :---: |
| Product X | 2,000 | 20.00 | 40,000 |
| Product Y | 1,375 | 24.00 | 33,000 |
| Product Z | 0 | 28.00 | 0 |
| **Total Contribution**| | | **73,000** |
| Less: Fixed Costs | | | (52,000) |
| **Net Profit** | | | **21,000** |

(c) **Qualitative Factors:**
1. **Quality Control:** The external supplier might not meet the high standards of quality maintained by Vanguard, leading to customer complaints and loss of goodwill.
2. **Reliability of Delivery:** If the supplier fails to deliver Product Z on time, it could lead to stockouts, harming the reputation of the company.
3. **Redundancy/Employee Morale:** Outsourcing may lead to layoffs of workers who previously produced Product Z, resulting in low morale and productivity drops among the remaining workforce.

(a) Calculations (7 Marks):
- Unit contributions: 1.5 Marks (0.5 Mark for each product)
- Contribution per kg: 3 Marks (1 Mark for each product)
- Ranking: 1.5 Marks (0.5 Mark for each product)
- Style and clarity of layout: 1 Mark

(b) Optimal Plan & Profit (8.5 Marks):
- Materials usage breakdown: 2 Marks
- Allocation to Product X (2,000 units): 1 Mark
- Allocation to Product Y (1,375 units): 2 Marks (1 for working, 1 for accuracy)
- Product Z (0 units): 0.5 Mark
- Total Contribution calculation ($73,000): 1.5 Marks (O/F)
- Net Profit ($21,000) calculation: 1.5 Marks (O/F)

(c) Qualitative Factors (7 Marks):
- 2 Marks for first well-explained factor.
- 2 Marks for second well-explained factor.
- 2 Marks for third well-explained factor.
- 1 Mark for clarity and coherence of evaluation.

(a)
**Ratio Calculations:**

1. **Gross Profit Margin**
* Formula: \( \frac{\text{Gross Profit}}{\text{Revenue}} \times 100 \)
* 2022: \( \frac{\$168,000}{\$480,000} \times 100 = 35.00\% \)
* 2023: \( \frac{\$180,000}{\$600,000} \times 100 = 30.00\% \)

2. **Operating Profit Margin**
* Formula: \( \frac{\text{Operating Profit}}{\text{Revenue}} \times 100 \)
* 2022: \( \frac{\$72,000}{\$480,000} \times 100 = 15.00\% \)
* 2023: \( \frac{\$60,000}{\$600,000} \times 100 = 10.00\% \)

3. **Current Ratio**
* Formula: \( \frac{\text{Current Assets}}{\text{Current Liabilities}} \)
* 2022: \( \frac{\$39,000 + \$42,000 + \$15,000}{\$32,000} = \frac{\$96,000}{\$32,000} = 3.00:1 \)
* 2023: \( \frac{\$52,500 + \$64,000}{\$48,000 + \$8,500} = \frac{\$116,500}{\$56,500} = 2.06:1 \)

4. **Liquid (Acid Test) Ratio**
* Formula: \( \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} \)
* 2022: \( \frac{\$42,000 + \$15,000}{\$32,000} = \frac{\$57,000}{\$32,000} = 1.78:1 \)
* 2023: \( \frac{\$64,000}{\$48,000 + \$8,500} = \frac{\$64,000}{\$56,500} = 1.13:1 \)

5. **Trade Receivables Collection Period**
* Formula: \( \frac{\text{Trade Receivables}}{\text{Revenue}} \times 365 \)
* 2022: \( \frac{\$42,000}{\$480,000} \times 365 = 31.94 \text{ days} \) (or 32 days)
* 2023: \( \frac{\$64,000}{\$600,000} \times 365 = 38.93 \text{ days} \) (or 39 days)

(b)
**Analysis and Evaluation:**
* **Profitability:**
* Gross profit margin fell from 35.00% to 30.00%. This suggests that either the cost of sales has increased (due to higher purchase costs) or selling prices have been reduced to boost volume.
* Operating profit margin also fell by 5 percentage points (from 15.00% to 10.00%). This represents a significant decline in the efficiency of operating expense control, though operating expenses as a % of sales remained constant at 20.00% (\( \$96,000 / \$480,000 = 20\% \) vs \( \$120,000 / \$600,000 = 20\% \)). Hence, the fall is driven by the drop in gross margin.
* **Liquidity:**
* Both current and acid-test ratios have decreased. The current ratio dropped from a comfortable 3.00:1 to 2.06:1.
* The liquid ratio fell from 1.78:1 to 1.13:1. This is approaching the minimum safe limit of 1:1, showing a deteriorating ability to meet short-term liabilities without selling stock.
* The trade receivables collection period increased from 31.94 days to 38.93 days. Customers are taking 7 days longer to pay, which ties up cash and explains why the bank balance went from a $15,000 debit balance to an $8,500 bank overdraft.

(c) **Actions to improve liquidity:**
1. Offer cash discounts to credit customers for early payment (e.g., 2/10 net 30) to speed up cash inflows.
2. Implement a stricter credit control policy and actively chase overdue invoices.
3. Negotiate longer payment terms with suppliers (trade payables) without losing goodwill.
4. Reduce levels of average inventory held (e.g., introduce just-in-time systems) to free up cash.

(a) Calculations (10 Marks):
- Formula stated for each ratio: 0.5 Mark (Total 2.5 Marks)
- Calculations and values for 2022: 0.5 Mark per ratio (Total 2.5 Marks)
- Calculations and values for 2023: 1 Mark per ratio (Total 5 Marks)

(b) Analysis (8.5 Marks):
- 3 Marks for profitability analysis (identifying the drop in gross margin as the cause, supporting figures)
- 3 Marks for liquidity analysis (discussing the falling current/acid test ratios, trade receivables and bank cash relationship)
- 2.5 Marks for balanced overall conclusions and evaluative comments

(c) Solutions to liquidity (4 Marks):
- 1 Mark for each distinct valid recommendation up to a maximum of 4.