Cambridge IAS-Level · Thinka 原創模擬試題

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

Thinka Nov 2024 (V1) Cambridge International A Level-Style Mock — Accounting (9706)

120 165 分鐘2024
An original Thinka practice paper modelled on the structure and difficulty of the Nov 2024 (V1) Cambridge International A Level Accounting (9706) paper. Not affiliated with or reproduced from Cambridge.

Paper 11 (選擇題)

Answer all thirty questions. Choose the correct option (A, B, C or D) and record your answer on the multiple-choice answer sheet.
23 題目 · 23
題目 1 · multiple_choice
1
A company purchased a machine on 1 January 2021 for $80,000. It was depreciated at 20% per annum using the reducing balance method. On 1 January 2023, the company changed its depreciation method to the straight-line method over a remaining useful life of 5 years with an estimated residual value of $5,200. What is the depreciation charge for the year ended 31 December 2023?
  1. A.$9,200
  2. B.$10,240
  3. C.$14,960
  4. D.$14,400
查看答案詳解

解題

First, calculate the carrying value of the machine on 31 December 2022:
- Cost on 1 January 2021: $80,000
- Depreciation for 2021: $80,000 \\times 20\% = $16,000
- Carrying value on 31 December 2021: $80,000 - $16,000 = $64,000
- Depreciation for 2022: $64,000 \times 20\% = $12,800
- Carrying value on 31 December 2022: $64,000 - $12,800 = $51,200

Next, apply the straight-line method to the remaining carrying value on 1 January 2023 over 5 years with a $5,200 residual value:
- New depreciation base: $51,200 - $5,200 = $46,000
- Depreciation for 2023: $46,000 / 5 \\text{ years} = $9,200.

評分準則

1 mark for the correct answer A.
題目 2 · multiple_choice
1
A manufacturing business has provided the following budgeted and actual data for the month of October:
- Budgeted overheads: $240,000
- Budgeted direct labor hours: 40,000 hours
- Actual overheads incurred: $258,000
- Actual direct labor hours worked: 41,500 hours
What is the overhead over- or under-absorption for October?
  1. A.$9,000 under-absorbed
  2. B.$9,000 over-absorbed
  3. C.$18,000 under-absorbed
  4. D.$18,000 over-absorbed
查看答案詳解

解題

First, calculate the predetermined Overhead Absorption Rate (OAR):
\\text{OAR} = \\frac{\\text{Budgeted Overheads}}{\\text{Budgeted Direct Labor Hours}} = \\frac{$240,000}{40,000 \text{ hours}} = $6 \\text{ per direct labor hour}

Next, calculate the overheads absorbed based on actual hours worked:
\\text{Overheads Absorbed} = 41,500 \\text{ hours} \\times $6 = $249,000

Finally, compare the absorbed overheads to actual overheads incurred:
\\text{Under-absorption} = \\text{Actual Overheads} - \\text{Absorbed Overheads} = $258,000 - $249,000 = $9,000.

評分準則

1 mark for the correct answer A.
題目 3 · multiple_choice
1
On 1 January 2023, a limited company had a retained earnings balance of $120,000. During the year, the following events occurred:
- Profit for the year before tax: $85,000
- Income tax expense for the year: $18,000
- Interim ordinary dividend paid: $12,000
- Final ordinary dividend proposed on 20 December 2023 (to be paid in 2024): $20,000
- Transfer to general reserve: $15,000
What is the retained earnings balance on 31 December 2023?
  1. A.$140,000
  2. B.$160,000
  3. C.$178,000
  4. D.$195,000
查看答案詳解

解題

1. Profit for the year after tax = $85,000 - $18,000 = $67,000.
2. Final proposed dividends are not recognized as a liability or a deduction from equity under IAS 10 because they are not approved before the year-end.
3. Retained earnings balance at 31 December 2023 = Opening retained earnings ($120,000) + Profit after tax ($67,000) - Interim dividend paid ($12,000) - Transfer to general reserve ($15,000) = $160,000.

評分準則

1 mark for the correct answer B.
題目 4 · multiple_choice
1
A company's draft cash book showed a debit balance of $8,450. The following items were then discovered:
1. Bank charges of $120 had not been entered in the cash book.
2. A cheque received from a customer for $450 was dishonoured but no entry had been made in the cash book.
3. Cheques drawn but not yet presented to the bank totalled $1,200.
4. Deposits credited by the bank after the statement date totalled $1,850.
What is the corrected cash book balance?
  1. A.$7,230
  2. B.$7,880
  3. C.$8,330
  4. D.$8,530
查看答案詳解

解題

To correct the cash book, we only adjust for items that affect the cash book directly but have not yet been recorded. Timing differences (unpresented cheques and outstanding deposits) are reconciling items for the bank statement reconciliation, not the cash book itself.
Corrected cash book balance = $8,450 (Draft balance) - $120 (Bank charges) - $450 (Dishonoured cheque) = $7,880.

評分準則

1 mark for the correct answer B.
題目 5 · multiple_choice
1
A company's draft sales ledger control account has a debit balance of $42,600. The following errors and omissions were discovered:
- A credit sale of $850 to a customer was entered in the sales day book as $580.
- An individual customer's account balance of $300 was written off as irrecoverable, but no entry was made in the sales ledger control account.
- A contra entry of $400 with the purchases ledger had been recorded in the individual customer accounts but not in the control accounts.
What is the correct sales ledger control account balance?
  1. A.$41,900
  2. B.$42,170
  3. C.$42,710
  4. D.$43,570
查看答案詳解

解題

- The sales day book error understates both the control account and customer accounts by $270 ($850 - $580). This must be added to the control account: +$270.
- The irrecoverable debt write-off was not entered in the control account. This must be deducted: -$300.
- The contra entry was omitted from the control account. This must be deducted: -$400.
- Corrected balance = $42,600 + $270 - $300 - $400 = $42,170.

評分準則

1 mark for the correct answer B.
題目 6 · multiple_choice
1
A company has provided the following trading information for the financial year:
- Revenue: $600,000
- Gross profit margin: 25%
- Opening inventory: $45,000
- Closing inventory: $55,000
What is the company's inventory turnover (in times)?
  1. A.3 times
  2. B.9 times
  3. C.12 times
  4. D.10 times
查看答案詳解

解題

1. Calculate Cost of Sales:
Cost of Sales = Revenue \\times (1 - \\text{Gross Profit Margin}) = $600,000 \times 0.75 = $450,000.
2. Calculate Average Inventory:
Average Inventory = (\\text{Opening Inventory} + \\text{Closing Inventory}) / 2 = ($45,000 + $55,000) / 2 = $50,000.
3. Calculate Inventory Turnover:
Inventory Turnover = \frac{\text{Cost of Sales}}{\text{Average Inventory}} = \frac{$450,000}{$50,000} = 9 \\text{ times}.

評分準則

1 mark for the correct answer B.
題目 7 · multiple_choice
1
A and B are in partnership, sharing profits and losses in the ratio 3:2. On 1 January 2023, B's current account balance was $4,200 (credit). For the year ended 31 December 2023, the details of the partnership were:
- Partnership net profit: $50,000
- Interest on capital: A $2,000, B $1,500
- Annual salary: B $8,000
- Drawings: A $12,000, B $15,000
What is B's current account balance on 31 December 2023?
  1. A.$9,900
  2. B.$14,100
  3. C.$18,700
  4. D.$29,100
查看答案詳解

解題

1. Calculate Residual Profit to share:
Residual Profit = Net Profit ($50,000) - Total Interest on Capital ($2,000 + $1,500) - B's Salary ($8,000) = $50,000 - $3,500 - $8,000 = $38,500.
2. B's share of residual profit = $38,500 \times 2/5 = $15,400.
3. Reconstruct B's Current Account:
- Opening Balance (Cr): $4,200
- Add Interest on Capital: +$1,500
- Add Salary: +$8,000
- Add Share of profit: +$15,400
- Less Drawings: -$15,000
- Closing Balance (Cr) = $4,200 + $1,500 + $8,000 + $15,400 - $15,000 = $14,100.

評分準則

1 mark for the correct answer B.
題目 8 · multiple_choice
1
A company sells a single product for $25 per unit. Variable costs are $15 per unit, and fixed costs are $60,000 per year. How many units must the company sell to achieve a target profit of $30,000?
  1. A.3,600 units
  2. B.6,000 units
  3. C.9,000 units
  4. D.12,000 units
查看答案詳解

解題

1. Calculate the contribution per unit:
Contribution per unit = Selling Price - Variable Cost = $25 - $15 = $10 per unit.
2. Calculate the sales volume required for target profit:
Required Sales Units = \frac{\text{Fixed Costs} + \text{Target Profit}}{\text{Contribution per unit}} = \frac{$60,000 + $30,000}{$10} = 9,000 \\text{ units}.

評分準則

1 mark for the correct answer C.
題目 9 · multiple_choice
1
A company purchased a non-current asset on 1 January 2021 for $120,000. It was depreciated at 15% per annum using the reducing balance method. On 1 January 2023, the asset was revalued to $100,000. What is the amount of the surplus transferred to the revaluation reserve?
  1. A.$13,300
  2. B.$16,000
  3. C.$20,000
  4. D.$22,000 verification code: 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查看答案詳解

解題

On 31 December 2021, the carrying value is $120,000 - (15% * $120,000) = $102,000. On 31 December 2022, the carrying value is $102,000 - (15% * $102,000) = $86,700. The surplus on revaluation is the revalued amount minus the carrying value at 1 January 2023: $100,000 - $86,700 = $13,300.

評分準則

1 mark for the correct option. Calculated as: $100,000 - ($120,000 * 0.85 * 0.85).
題目 10 · 選擇題
1
A company has ordinary share capital of $400,000 in $0.50 shares. It has a share premium account balance of $120,000. The directors made a bonus issue of 1 share for every 4 shares held, utilizing the share premium account as fully as possible. Subsequently, the company made a rights issue of 1 share for every 5 shares held at $0.80 per share. The rights issue was fully subscribed. What is the final balance on the share premium account after these transactions?
  1. A.$40,000
  2. B.$80,000
  3. C.$140,000
  4. D.$180,000
查看答案詳解

解題

1. Calculate the initial number of ordinary shares: \(\text{Number of shares} = \frac{\$400,000}{\$0.50} = 800,000\text{ shares}\). 2. Calculate the bonus issue: \(\text{Bonus shares} = \frac{800,000}{4} = 200,000\text{ shares}\). The nominal value of bonus shares is \(200,000 \times \$0.50 = \$100,000\). 3. Adjust the share premium account after the bonus issue: \(\text{New share premium balance} = \$120,000 - \$100,000 = \$20,000\). 4. Calculate the total number of shares after the bonus issue: \(\text{Total shares} = 800,000 + 200,000 = 1,000,000\text{ shares}\). 5. Calculate the rights issue: \(\text{Rights shares} = \frac{1,000,000}{5} = 200,000\text{ shares}\). The premium per rights share is \(\$0.80 - \$0.50 = \$0.30\). The addition to share premium is \(200,000 \times \$0.30 = \$60,000\). 6. Determine the final share premium balance: \(\text{Final balance} = \$20,000 + \$60,000 = \$80,000\).

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 11 · 選擇題
1
A manufacturing company has two departments: Machining and Assembly. Budgeted Data: - Machining budgeted overheads: $360,000 (allocated based on 45,000 machine hours) - Assembly budgeted overheads: $180,000 (allocated based on 30,000 direct labor hours) Actual Data: - Machining actual overheads: $375,000; actual machine hours: 46,000 - Assembly actual overheads: $172,000; actual direct labor hours: 29,500 What is the total under- or over-absorption of overheads for the company?
  1. A.$2,000 under-absorbed
  2. B.$2,000 over-absorbed
  3. C.$12,000 under-absorbed
  4. D.$12,000 over-absorbed
查看答案詳解

解題

1. Calculate the overhead absorption rates (OAR) for each department: - \(\text{Machining OAR} = \frac{\$360,000}{45,000\text{ hours}} = \$8.00\text{ per machine hour}\) - \(\text{Assembly OAR} = \frac{\$180,000}{30,000\text{ hours}} = \$6.00\text{ per direct labor hour}\) 2. Calculate the overhead absorbed by each department: - \(\text{Machining overhead absorbed} = 46,000\text{ actual hours} \times \$8.00 = \$368,000\) - \(\text{Assembly overhead absorbed} = 29,500\text{ actual hours} \times \$6.00 = \$177,000\) 3. Compare absorbed overheads to actual overheads to find under/over-absorption: - \(\text{Machining under-absorption} = \$375,000\text{ (actual)} - \$368,000\text{ (absorbed)} = \$7,000\text{ under-absorbed}\) - \(\text{Assembly over-absorption} = \$177,000\text{ (absorbed)} - \$172,000\text{ (actual)} = \$5,000\text{ over-absorbed}\) 4. Calculate the net total absorption for the company: \(\text{Net under-absorption} = \$7,000\text{ under} - \$5,000\text{ over} = \$2,000\text{ under-absorbed}\).

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 12 · 選擇題
1
A business purchased a property on 1 January 2019 for $600,000. It was estimated to have a useful life of 40 years with no residual value. The business uses the straight-line method of depreciation. On 1 January 2022, the property was revalued to $666,000. There was no change in the remaining useful life of the property. What is the depreciation charge for the year ended 31 December 2022 and the balance on the revaluation reserve as of 31 December 2022 (assuming no transfer is made from the revaluation reserve to retained earnings)?
  1. A.Depreciation $18,000; Revaluation Reserve $66,000
  2. B.Depreciation $18,000; Revaluation Reserve $111,000
  3. C.Depreciation $15,000; Revaluation Reserve $111,000
  4. D.Depreciation $18,000; Revaluation Reserve $129,000
查看答案詳解

解題

1. Calculate depreciation accumulated up to the revaluation date (3 years from 1 January 2019 to 31 December 2021): - \(\text{Annual depreciation} = \frac{\$600,000}{40\text{ years}} = \$15,000\text{ per year}\) - \(\text{Accumulated depreciation} = \$15,000 \times 3 = \$45,000\) 2. Calculate carrying amount on 1 January 2022: - \(\text{Carrying amount} = \$600,000 - \$45,000 = \$555,000\) 3. Calculate the revaluation surplus: - \(\text{Revaluation surplus} = \$666,000 - \$555,000 = \$111,000\) 4. Calculate remaining useful life and new depreciation charge for 2022: - \(\text{Remaining useful life} = 40\text{ years} - 3\text{ years} = 37\text{ years}\) - \(\text{New annual depreciation} = \frac{\$666,000}{37\text{ years}} = \$18,000\) Since no transfer is made from the revaluation reserve to retained earnings, the reserve balance remains at \(\$111,000\).

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 13 · 選擇題
1
At 31 May, a trader’s bank column in the cash book showed a debit balance of $8,450. The following facts were discovered when comparing the cash book with the bank statement: 1. Bank charges of $180 had been entered in the bank statement but not in the cash book. 2. Direct debits of $310 had been paid by the bank but not recorded in the cash book. 3. A cheque for $540 paid to a supplier had been recorded in the cash book as $450. 4. Cheques received from customers amounting to $1,250 had been entered in the cash book but had not yet been credited by the bank. 5. Cheques drawn by the trader but not yet presented to the bank amounted to $1,820. What is the corrected balance in the cash book at 31 May?
  1. A.$7,870
  2. B.$7,960
  3. C.$8,300
  4. D.$8,440
查看答案詳解

解題

To find the corrected cash book balance, only items that have occurred but are not yet updated in the cash book are adjusted. Uncredited deposits and unpresented cheques do not affect the corrected cash book balance. 1. Start with the draft cash book debit balance: \(\$8,450\) 2. Subtract bank charges not entered: \(-\$180\) 3. Subtract direct debits not recorded: \(-\$310\) 4. Correct the supplier payment error (the cash book payment was under-recorded by \(\$540 - \$450 = \$90\), so an additional credit/reduction is needed): \(-\$90\) \(\text{Corrected Cash Book Balance} = \$8,450 - \$180 - \$310 - \$90 = \$7,870\).

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 14 · 選擇題
1
A company purchased a second-hand delivery vehicle for $18,000. The following costs were also incurred around the time of purchase: - Delivery of the vehicle to the company’s premises: $450 - Installation of a customized cargo racking system: $1,200 - Annual road tax: $180 - Motor vehicle insurance for the first year: $920 - Repainting the engine cover due to a scratch: $150 - Testing brakes before initial use: $250 What is the total amount that should be capitalized as the cost of the non-current asset?
  1. A.$18,450
  2. B.$19,650
  3. C.$19,900
  4. D.$21,150
查看答案詳解

解題

Capital expenditure includes costs incurred to acquire, deliver, and prepare a non-current asset for its intended use, as well as modifications that improve its capability. Capitalized costs: - Purchase price: \(\$18,000\) - Delivery of the vehicle: \(\$450\) - Installation of racking system: \(\$1,200\) - Testing brakes before initial use: \(\$250\) \(\text{Total capitalized cost} = \$18,000 + \$450 + \$1,200 + \$250 = \$19,900\). Revenue expenditure (not capitalized): - Annual road tax (\(\$180\)) and first-year insurance (\(\$920\)) are recurring operational expenses. - Repainting a scratch (\(\$150\)) is a maintenance/repair expense.

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 15 · 選擇題
1
A company has the following financial information for two consecutive years: Year 1: - Revenue: $600,000 - Cost of sales: $420,000 - Gross profit: $180,000 - Closing inventory: $40,000 Year 2: - Revenue: $800,000 - Cost of sales: $520,000 - Gross profit: $280,000 - Closing inventory: $64,000 What is the inventory turnover ratio (in days) for Year 2 (rounded to the nearest day, using a 365-day year and average inventory)?
  1. A.24 days
  2. B.28 days
  3. C.37 days
  4. D.45 days
查看答案詳解

解題

1. Calculate the average inventory for Year 2: \(\text{Average Inventory} = \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2} = \frac{\$40,000 + \\$64,000}{2} = \$52,000\). 2. Calculate the inventory turnover in days: \(\text{Inventory Turnover (days)} = \frac{\text{Average Inventory}}{\text{Cost of Sales}} \times 365 = \frac{\$52,000}{\$520,000} \times 365 = 0.1 \times 365 = 36.5\text{ days}\). Rounding to the nearest day gives 37 days.

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 16 · 選擇題
1
X and Y are in a partnership sharing profits and losses in the ratio of 3:2. The partnership agreement provides for: - Interest on capital at 5% per annum. - A salary of $15,000 per annum to Y. - Interest on drawings charged at 10% on total drawings for the year. At 1 January 2022, the capital account balances were: - X: $100,000 - Y: $80,000 During the year ended 31 December 2022: - Drawings were: X: $12,000; Y: $8,000 - The profit for the year before any partnership adjustments was $64,000 What was Y's share of the residual profit for the year ended 31 December 2022?
  1. A.$16,000
  2. B.$16,800
  3. C.$25,200
  4. D.$35,800
查看答案詳解

解題

1. Calculate interest on drawings (add to profit): - X: \(\$12,000 \times 10\% = \$1,200\) - Y: \(\$8,000 \times 10\% = \$800\) - \(\text{Total interest on drawings} = \$2,000\) 2. Calculate interest on capital (deduct from profit): - X: \(\$100,000 \times 5\% = \$5,000\) - Y: \(\$8,000 \times 5\% = \$4,000\) - \(\text{Total interest on capital} = \$9,000\) 3. Calculate residual profit: - \(\text{Residual profit} = \text{Net Profit} + \text{Total Interest on Drawings} - \text{Total Interest on Capital} - \text{Y's Salary} = \$64,000 + \$2,000 - \$9,000 - \$15,000 = \$42,000\) 4. Calculate Y's share of residual profit (2/5 parts): - \(\text{Y's share} = \$42,000 \times \frac{2}{5} = \$16,800\).

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 17 · 選擇題
1
A company manufactures and sells a single product. The following annual data is available: - Selling price per unit: $30 - Variable cost per unit: $18 - Total fixed costs per year: $180,000 - Current annual sales: 20,000 units The company is considering reducing the selling price to $27 per unit in order to increase annual sales volume to 28,000 units. There are no changes to fixed costs. What will be the change in the margin of safety (in units) if this proposal is implemented?
  1. A.3,000 units decrease
  2. B.3,000 units increase
  3. C.5,000 units increase
  4. D.8,000 units increase
查看答案詳解

解題

1. Calculate the current margin of safety: - \(\text{Current contribution per unit} = \$30 - \$18 = \$12\) - \(\text{Current breakeven point (units)} = \frac{\$180,000}{\$12} = 15,000\text{ units}\) - \(\text{Current margin of safety} = 20,000\text{ (actual)} - 15,000\text{ (breakeven)} = 5,000\text{ units}\) 2. Calculate the proposed margin of safety: - \(\text{Proposed contribution per unit} = \$27 - \$18 = \$9\) - \(\text{Proposed breakeven point (units)} = \frac{\$180,000}{\$9} = 20,000\text{ units}\) - \(\text{Proposed margin of safety} = 28,000\text{ (actual)} - 20,000\text{ (breakeven)} = 8,000\text{ units}\) 3. Calculate the change in the margin of safety: - \(\text{Change} = 8,000\text{ units} - 5,000\text{ units} = 3,000\text{ units increase}\).

評分準則

1 mark for the correct option. 0 marks for an incorrect or omitted option.
題目 18 · multiple_choice
1
At 1 January 2023, Redbridge PLC had the following balances:

- Ordinary shares of $0.50 each: $400,000
- Share premium: $150,000

On 1 March 2023, the company made a rights issue of 1 ordinary share for every 4 held at $0.80 per share. The issue was fully subscribed.

On 1 September 2023, the company made a bonus issue of 1 ordinary share for every 10 held, using the share premium account as far as possible.

What was the balance on the Share Premium account at 31 December 2023?
  1. A.$110,000
  2. B.$160,000
  3. C.$210,000
  4. D.$260,000
查看答案詳解

解題

1. **Initial shares in issue:** $400,000 / $0.50 = 800,000 shares.

2. **Rights issue (1 for 4):**
- Number of rights shares issued = 800,000 / 4 = 200,000 shares.
- Premium per share = $0.80 - $0.50 = $0.30.
- Contribution to Share Premium = 200,000 * $0.30 = $60,000.
- Total shares in issue after rights issue = 1,000,000 shares.
- Share Premium balance after rights issue = $150,000 + $60,000 = $210,000.

3. **Bonus issue (1 for 10):**
- Number of bonus shares issued = 1,000,000 / 10 = 100,000 shares.
- Nominal value of bonus shares (funded from Share Premium) = 100,000 * $0.50 = $50,000.
- Remaining balance on Share Premium = $210,000 - $50,000 = $160,000.

評分準則

1 mark for the correct answer.
- Award 1 mark for Option B.
- 0 marks for incorrect options.
題目 19 · multiple_choice
1
A manufacturing business uses direct labor hours to absorb production overheads.

The budgeted and actual figures for last month were:

| | Budgeted | Actual |
| --- | --- | --- |
| Production overheads | $180,000 | $194,000 |
| Direct labor hours | 15,000 | 15,800 |

What was the over or under-absorption of overheads for the month?
  1. A.$4,400 under-absorbed
  2. B.$4,400 over-absorbed
  3. C.$14,000 under-absorbed
  4. D.$9,600 over-absorbed
查看答案詳解

解題

1. **Calculate the Overhead Absorption Rate (OAR):**
\(\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Hours}} = \frac{\$180,000}{15,000 \text{ hours}} = \$12 \text{ per direct labor hour}\)

2. **Calculate overheads absorbed:**
\(\text{Absorbed Overheads} = \text{Actual Hours} \times \text{OAR} = 15,800 \times \$12 = \$189,600\)

3. **Calculate over/under absorption:**
\(\text{Over/(Under) Absorption} = \text{Absorbed Overheads} - \text{Actual Overheads} = \$189,600 - \$194,000 = -\$4,400\) (Under-absorbed)

評分準則

1 mark for the correct calculation and identification of under-absorption.
- Award 1 mark for Option A.
題目 20 · multiple_choice
1
A business purchased a machine on 1 January 2021 for $80,000.

The company's policy is to depreciate machinery at 20% per annum using the reducing balance method. A full year's depreciation is charged in the year of purchase, and no depreciation is charged in the year of disposal.

On 1 July 2023, the machinery was sold for $48,000.

What was the profit or loss on the disposal of the machinery?
  1. A.$3,200 loss
  2. B.$3,200 profit
  3. C.$1,920 profit
  4. D.$16,000 loss
查看答案詳解

解題

1. **Depreciation for 2021:**
\(20\% \times \$80,000 = \$16,000\)
Net Book Value (NBV) at 31 Dec 2021 = $80,000 - $16,000 = $64,000

2. **Depreciation for 2022:**
\(20\% \times \$64,000 = \$12,800\)
NBV at 31 Dec 2022 = $64,000 - $12,800 = $51,200

3. **Depreciation for 2023:**
No depreciation is charged in the year of disposal. Thus, the NBV at disposal remains $51,200.

4. **Profit/Loss on Disposal:**
\(\text{Profit/Loss} = \text{Disposal Proceeds} - \text{NBV} = \$48,000 - \$51,200 = -\$3,200\) (Loss of $3,200)

評分準則

1 mark for the correct calculation of loss on disposal.
- Award 1 mark for Option A.
題目 21 · multiple_choice
1
The bank column of a business's cash book showed a debit balance of $8,450.

When comparing this with the bank statement, the following differences were discovered:
1. Bank charges of $120 on the bank statement had not been entered in the cash book.
2. A cheque for $450 received from a customer had been returned by the bank marked 'refer to drawer' (dishonoured), but no entry had been made in the cash book.
3. Unpresented cheques totalled $1,200.
4. Outstanding lodgements (deposits in transit) totalled $850.

What was the balance shown on the bank statement?
  1. A.$7,530
  2. B.$7,880
  3. C.$8,230
  4. D.$8,800
查看答案詳解

解題

1. **Adjust Cash Book Balance:**
\(\text{Adjusted Cash Book Balance} = \$8,450 \text{ (Debit)} - \$120 \text{ (Bank Charges)} - \$450 \text{ (Dishonoured Cheque)} = \$7,880 \text{ Debit}\)

2. **Reconcile to Bank Statement Balance (X):**
\(\text{Adjusted Cash Book Balance} = X \text{ (Bank Statement Balance)} + \text{Outstanding Lodgements} - \text{Unpresented Cheques}\)
\(\$7,880 = X + \$850 - \$1,200\)
\(\$7,880 = X - \$350\)
\(X = \$7,880 + \$350 = \$8,230\)

評分準則

1 mark for the correct calculation of the bank statement balance.
- Award 1 mark for Option C.
題目 22 · multiple_choice
1
A trial balance failed to agree and a suspense account was opened with a debit balance of $840.

The following errors were later discovered:
1. A credit sale of $650 to J. Wood was correctly recorded in the sales journal but was posted to J. Wood’s account as $560.
2. The purchases journal was undercast by $750.

What is the balance on the suspense account after these errors are corrected?
  1. A.Nil
  2. B.$180 debit
  3. C.$1,500 debit
  4. D.$1,680 debit
查看答案詳解

解題

1. **Opening Suspense Account Balance:** $840 Debit.

2. **Correction of Error 1:**
- Credit sales of $650 posted to customer account as $560. J. Wood's debit entry is short by $90.
- Correcting entry: Debit J. Wood $90, Credit Suspense $90.
- New Suspense balance = $840 (Dr) - $90 (Cr) = $750 (Dr).

3. **Correction of Error 2:**
- Purchases journal was undercast by $750, meaning total debits in the purchases account are short by $750.
- Correcting entry: Debit Purchases $750, Credit Suspense $750.
- New Suspense balance = $750 (Dr) - $750 (Cr) = $0 (Nil).

評分準則

1 mark for the correct identification of the remaining suspense balance.
- Award 1 mark for Option A.
題目 23 · multiple_choice
1
A business has the following information at the end of its financial year:

- Revenue: $600,000
- Gross profit margin: 30%
- Inventory turnover: 6 times
- Trade receivables: $42,000
- Trade payables: $35,000
- Bank overdraft: $15,000

What is the liquid (acid test) ratio of the business?
  1. A.0.84 : 1
  2. B.1.20 : 1
  3. C.2.24 : 1
  4. D.3.20 : 1
查看答案詳解

解題

1. **Calculate Cost of Sales (COS):**
\(\text{COS} = \text{Revenue} \times (100\% - \text{Gross profit margin}) = \$600,000 \times 70\% = \$420,000\)

2. **Calculate Inventory:**
\(\text{Inventory Turnover} = \frac{\text{COS}}{\text{Inventory}}\)
\(6 = \frac{\$420,000}{\text{Inventory}}\)
\(\text{Inventory} = \$70,000\)

3. **Calculate Current Liabilities (CL):**
\(\text{CL} = \text{Trade Payables} + \text{Bank Overdraft} = \$35,000 + \$15,000 = \$50,000\)

4. **Calculate Liquid (Acid Test) Ratio:**
\(\text{Liquid Assets} = \text{Trade Receivables} = \$42,000\)
\(\text{Liquid Ratio} = \frac{\text{Liquid Assets}}{\text{Current Liabilities}} = \frac{\$42,000}{\$50,000} = 0.84 : 1\)

評分準則

1 mark for the correct calculation of the liquid ratio.
- Award 1 mark for Option A.

Paper 21 (Fundamentals of Accounting)

Answer all questions. Show your workings clearly. International accounting terms and formats should be used.
4 題目 · 90
題目 1 · subjective
30
Zelona PLC is a manufacturing and retail company. The following extracts were taken from the company's trial balance at 31 December 2023:

\(\begin{array}{lrr} & \text{Debit (\$)} & \text{Credit (\$)} \\hline \text{Revenue} & & 1,240,000 \\ \text{Cost of sales} & 680,000 & \\ \text{Administrative expenses (excluding depreciation)} & 194,000 & \\ \text{Distribution costs} & 112,000 & \\ \text{Ordinary share capital (\$0.50 nominal value)} & & 400,000 \\ \text{Share premium} & & 120,000 \\ \text{Retained earnings (1 January 2023)} & & 165,000 \\ \text{General reserve} & & 50,000 \\ \text{8\% Debentures (repayable 2028)} & & 150,000 \\ \text{Land and Buildings (at cost)} & 600,000 & \\ \text{Equipment (at cost)} & 240,000 & \\ \text{Accumulated depreciation (1 January 2023):} & & \\ \quad \text{Buildings} & & 90,000 \\ \quad \text{Equipment} & & 96,000 \\ \text{Trade receivables} & 88,000 & \\ \text{Allowance for doubtful debts (1 January 2023)} & & 3,600 \\ \text{Cash at bank} & 43,000 & \\ \hline \end{array}\)

The following additional information is available at 31 December 2023:
1. Land and Buildings cost includes land valued at $200,000. Depreciation is to be charged on buildings at 2% per annum on cost, allocated fully to administrative expenses.
2. Depreciation on equipment is to be charged at 20% per annum using the reducing balance method. The expense is to be allocated 60% to distribution costs and 40% to administrative expenses.
3. Trade receivables include an amount of $4,000 which is deemed irrecoverable and is to be written off. The allowance for doubtful debts is then to be adjusted to 5% of the remaining trade receivables.
4. A full year's debenture interest is outstanding at 31 December 2023. No entry has yet been made for this.
5. During the year, an interim ordinary dividend of $0.02 per share was paid based on the shares in issue on 1 June 2023. This transaction was incorrectly debited to administrative expenses and credited to cash at bank.
6. On 1 November 2023, the company made a rights issue of 1 ordinary share for every 4 held at $0.80 per share. The issue was fully subscribed and the proceeds were received. No entries have yet been made in the accounts to record this rights issue.
7. The directors wish to transfer $25,000 to the general reserve.
8. Income tax for the year is estimated at $24,000.

**Required:**

(a) Prepare the Statement of Profit or Loss for Zelona PLC for the year ended 31 December 2023. (14 marks)

(b) Prepare the Statement of Changes in Equity for Zelona PLC for the year ended 31 December 2023. (8 marks)

(c) In early 2024, the directors plan to raise an additional $300,000 to finance a new warehouse. They are considering two options:
* **Option 1:** Issue 6% Debentures at par.
* **Option 2:** Issue 500,000 ordinary shares at $0.60 per share.

Advise the directors which option they should choose. Support your answer with relevant calculations and qualitative factors. (8 marks)
查看答案詳解

解題

**Part (a) Workings:**

1. **Depreciation on Buildings:**
* Cost of buildings = $600,000 (total Land & Buildings) - $200,000 (Land) = $400,000
* Depreciation expense = \(2\% \times \$400,000 = \$8,000\)
* Charged to Administrative expenses.

2. **Depreciation on Equipment:**
* Net Book Value = \( \$240,000 - \$96,000 = \$144,000 \)
* Depreciation expense = \( 20\% \times \$144,000 = \$28,800 \)
* Allocated to Distribution costs (60%): \( \$28,800 \times 60\% = \$17,280 \)
* Allocated to Administrative expenses (40%): \( \$28,800 \times 40\% = \$11,520 \)

3. **Receivables & Doubtful Debts:**
* Bad debt written off = $4,000 (charged to Administrative expenses)
* Adjusted Receivables = \( \$88,000 - \$4,000 = \$84,000 \)
* Required Allowance = \( 5\% \times \$84,000 = \$4,200 \)
* Existing Allowance = $3,600
* Increase in Allowance = \( \$4,200 - \$3,600 = \$600 \) (charged to Administrative expenses)

4. **Debenture Interest:**
* \( \$150,000 \times 8\% = \$12,000 \) (Finance cost)

5. **Interim Dividend Correction:**
* Number of shares on 1 June 2023 = \( \$400,000 \text{ nominal value} / \$0.50 = 800,000 \text{ shares} \)
* Interim dividend paid = \( 800,000 \times \$0.02 = \$16,000 \)
* Correction: Remove $16,000 from Administrative expenses and debit directly to Retained Earnings.

6. **Adjusted Administrative Expenses:**
* Draft amount: $194,000
* Less: Dividend correction: \(-\$16,000\)
* Add: Depreciation on Buildings: \(+\$8,000\)
* Add: Depreciation on Equipment (40%): \(+\$11,520\)
* Add: Bad debt written off: \(+\$4,000\)
* Add: Increase in allowance for doubtful debts: \(+\$600\)
* **Total Administrative Expenses = $202,120**

7. **Adjusted Distribution Costs:**
* Draft amount: $112,000
* Add: Depreciation on Equipment (60%): \(+\$17,280\)
* **Total Distribution Costs = $129,280**

**Zelona PLC - Statement of Profit or Loss for the year ended 31 December 2023**

\(\begin{array}{lr} & \$ \\ \text{Revenue} & 1,240,000 \\ \text{Cost of sales} & (680,000) \\ \hline \text{Gross Profit} & 560,000 \\ \text{Distribution costs} & (129,280) \\ \text{Administrative expenses} & (202,120) \\ \hline \text{Profit from operations} & 228,600 \\ \text{Finance costs (Debenture interest)} & (12,000) \\ \hline \text{Profit before tax} & 216,600 \\ \text{Income tax expense} & (24,000) \\ \hline \text{Profit for the year} & \mathbf{192,600} \\ \hline \end{array}\)

---

**Part (b) Workings for Statement of Changes in Equity:**

1. **Rights Issue:**
* Shares held: \( 800,000 \text{ shares} \)
* Rights shares issued: \( 800,000 \times 1/4 = 200,000 \text{ shares} \)
* Proceeds: \( 200,000 \times \$0.80 = \$160,000 \)
* Nominal value increase (Share Capital): \( 200,000 \times \$0.50 = \$100,000 \)
* Premium value increase (Share Premium): \( 200,000 \times \$0.30 = \$60,000 \)

**Zelona PLC - Statement of Changes in Equity for the year ended 31 December 2023**

\(\begin{array}{|l|c|c|c|c|c|} \hline & \text{Share} & \text{Share} & \text{General} & \text{Retained} & \text{Total} \\ & \text{Capital (\$)} & \text{Premium (\$)} & \text{Reserve (\$)} & \text{Earnings (\$)} & \text{Equity (\$)} \\ \hline \text{Balances at 1 January 2023} & 400,000 & 120,000 & 50,000 & 165,000 & 735,000 \\ \text{Profit for the year} & - & - & - & 192,600 & 192,600 \\ \text{Rights issue} & 100,000 & 60,000 & - & - & 160,000 \\ \text{Interim dividend paid} & - & - & - & (16,000) & (16,000) \\ \text{Transfer to general reserve} & - & - & 25,000 & (25,000) & - \\ \hline \text{Balances at 31 December 2023} & \mathbf{500,000} & \mathbf{180,000} & \mathbf{75,000} & \mathbf{316,600} & \mathbf{1,071,600} \\ \hline \end{array}\)

---

**Part (c) Evaluation of Financing Options:**

* **Option 1: Issue 6% Debentures ($300,000)**
* *Calculation:* Additional annual interest charge = \( \$300,000 \times 6\% = \$18,000 \).
* *Analysis:* No dilution of ownership or control for existing shareholders. Interest is tax-deductible, reducing net finance costs. However, this increases financial risk (gearing) and is a fixed expense that must be paid regardless of profitability. Gearing ratio will increase (Non-current liabilities will rise from $150,000 to $450,000).

* **Option 2: Issue 500,000 ordinary shares at $0.60 per share ($300,000)**
* *Calculation:* Number of shares increases by 500,000 (from 1,000,000 shares at 31 Dec 2023 to 1,500,000 shares). Share capital increases by $250,000; share premium increases by $50,000.
* *Analysis:* No obligation to pay regular cash interest or dividends if profits are low (reduces financial risk). It expands the equity base, lowering gearing levels. However, it will lead to dilution of earnings per share (EPS) and control/voting power for existing shareholders. Issue costs for equity are often higher than debt.

* **Conclusion/Advice:** The directors should weigh financial risk against control. If they wish to maintain control and have stable profit streams to cover the fixed interest, Option 1 is recommended. If they wish to avoid financial risk and fixed costs, Option 2 is recommended. (Either recommendation is acceptable if supported by valid reasons).

評分準則

**Part (a) [14 marks]**
* **Revenue & Cost of sales** (or Gross Profit $560,000) [1]
* **Distribution costs** ($112,000 + $17,280 [1] = $129,280) [2]
* **Administrative expenses** ($194,000 - $16,000 [1] + $8,000 [1] + $11,520 [1] + $4,000 [1] + $600 [1] = $202,120) [5]
* **Profit from operations** ($228,600) [1 OF]
* **Finance costs** ($12,000 accrued debenture interest) [1]
* **Profit before tax** ($216,600) [1 OF]
* **Taxation** ($24,000) [1]
* **Profit for the year** ($192,600) [2 OF]

**Part (b) [8 marks]**
* **Opening balances column check** [1]
* **Profit for the year** ($192,600 in Retained Earnings and Total) [1 OF]
* **Rights issue** ($100,000 Share Capital [1], $60,000 Share Premium [1]) [2]
* **Interim dividend paid** ($16,000 reduction in Retained Earnings and Total) [2]
* **Transfer to general reserve** ($25,000 transfer between columns, Nil impact on total) [1]
* **Closing balances column checks** (All columns mathematically correct) [1 OF]

**Part (c) [8 marks]**
* **Calculations** (Interest expense of $18,000 [1]; Increase in number of shares to 1.5 million [1]) [2]
* **Discussion of Option 1 (Debentures)** (Max 2 marks: details on interest obligation, tax deductibility, risk/gearing) [2]
* **Discussion of Option 2 (Shares)** (Max 2 marks: details on non-mandatory dividends, dilution of control, impact on EPS) [2]
* **Final justified advice/recommendation** [2]
題目 2 · Correction of Errors and Suspense Reconciliation
15
Malik is a sole trader who prepared a draft trial balance on 31 December 2023. The trial balance did not balance; the credit side exceeded the debit side by $1,050. A suspense account was opened to record the difference.

An investigation of the books of account revealed the following errors:
1. The sales journal was undercast by $360.
2. A payment of $490 to a supplier, Peter, was correctly recorded in the cash book but was posted to the credit of Peter's account.
3. A payment for insurance of $430 was correctly recorded in the cash book but was not posted to the insurance account.
4. A purchase of office equipment of $1,800 on credit from Equipment Ltd had been entered in the purchases journal and posted to the purchases account.
5. Goods sold on credit to Mary for $150 had been completely omitted from the books.

Required:
(a) Prepare the journal entries to correct errors (1) to (5). Narratives are not required. [8 marks]
(b) Prepare the Suspense Account to show how the balance is cleared. [4 marks]
(c) Prepare a statement to calculate the corrected profit for the year, starting with the draft profit of $18,400. [3 marks]
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解題

(a) Journal Entries


ErrorDetailsDebit ($)Credit ($)
(1)Suspense360
Sales360
(2)Peter980
Suspense980
(3)Insurance430
Suspense430
(4)Office Equipment1,800
Purchases1,800
(5)Mary150
Sales150



(b) Suspense Account


DateDetailsAmount ($)DateDetailsAmount ($)
2023 Dec 31Difference on Trial Balance (b/d)1,0502023 Dec 31Peter980
Dec 31Sales360Dec 31Insurance430
Total1,410Total1,410



(c) Statement of Corrected Profit


DetailsAmount ($)
Draft profit for the year18,400
Add: Sales undercast (1)360
Add: Purchases adjustment (Office Equipment) (4)1,800
Add: Omitted credit sales (5)150
Less: Insurance expense omitted (3)(430)
Corrected profit for the year19,480

評分準則

Part (a) Journal Entries [8 marks]

- Error 1: Dr Suspense $360, Cr Sales $360 (1 mark)

- Error 2: Dr Peter (1 mark) and Cr Suspense (1 mark) with $980.

- Error 3: Dr Insurance $430, Cr Suspense $430 (1 mark)

- Error 4: Dr Office Equipment $1,800 (1 mark), Cr Purchases $1,800 (1 mark)

- Error 5: Dr Mary $150 (1 mark), Cr Sales $150 (1 mark)


Part (b) Suspense Account [4 marks]

- Opening balance of $1,050 on the Debit side (1 mark)

- Sales of $360 on the Debit side (1 mark)

- Peter of $980 on the Credit side (1 mark)

- Insurance of $430 on the Credit side (1 mark)

Note: Reject if account does not balance or if incorrect names are used.


Part (c) Statement of Corrected Profit [3 marks]

- Correctly adjusting Sales items (Error 1 +$360 & Error 5 +$150) and Insurance (Error 3 -$430) (1 mark)

- Correctly adjusting Purchases (Error 4 +$1,800) (1 mark)

- Final correct profit of $19,480 (1 mark for accuracy, or follow-through based on errors in part a).
題目 3 · Structured
15
Vanguard Logistics prepares its financial statements to 31 December each year. It uses the monthly pro-rata basis for calculating depreciation on non-current assets. Delivery vehicles are depreciated at 20% per annum using the reducing balance method.

On 1 January 2021, the balances in the books of Vanguard Logistics were:
- Delivery vehicles at cost: $70 000
- Provision for depreciation of delivery vehicles: $12 700

The delivery vehicles at cost consisted of:
- Vehicle A: Cost $40 000, purchased 1 July 2019
- Vehicle B: Cost $30 000, purchased 1 October 2020

During the year ended 31 December 2021, the following transactions occurred:
1. On 1 April 2021, Vehicle A was sold for $23 000 cash.
2. On 1 July 2021, Vehicle C was purchased for $50 000 by cheque.

Required:

(a) Prepare the following ledger accounts for the year ended 31 December 2021. Balance the accounts and bring down the balances on 1 January 2022.
(i) Provision for depreciation of delivery vehicles account [5 marks]
(ii) Disposal of delivery vehicles account [4 marks]

(b) Calculate the carrying value of delivery vehicles to be shown in the Statement of Financial Position as of 31 December 2021. [2 marks]

(c) Discuss whether a business should use the straight-line method or the reducing balance method of depreciation for its delivery vehicles. [4 marks]
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解題

Workings:

1. Accumulated depreciation of Vehicle A up to 31 December 2020:
- Year 2019 (6 months): $40 000 * 20% * 6/12 = $4 000
- Year 2020 (12 months): ($40 000 - $4 000) * 20% = $7 200
- Accumulated depreciation to 31 Dec 2020 = $4 000 + $7 200 = $11 200

2. Depreciation of Vehicle A in 2021 up to disposal (3 months):
- ($40 000 - $11 200) * 20% * 3/12 = $28 800 * 20% * 3/12 = $1 440
- Total accumulated depreciation at disposal = $11 200 + $1 440 = $12 640

3. Depreciation of Vehicle B in 2021 (12 months):
- Accumulated depreciation to 31 Dec 2020: $30 000 * 20% * 3/12 = $1 500
- Carrying Value on 1 Jan 2021 = $30 000 - $1 500 = $28 500
- Depreciation for 2021 = $28 500 * 20% = $5 700

4. Depreciation of Vehicle C in 2021 (6 months):
- $50 000 * 20% * 6/12 = $5 000

5. Total depreciation charge to Income Statement for 2021:
- Vehicle A: $1 440
- Vehicle B: $5 700
- Vehicle C: $5 000
- Total: $12 140

(a)(i)
Provision for Depreciation of Delivery Vehicles Account
Date | Details | Amount ($) || Date | Details | Amount ($)
2021 ||| 2021 ||
Apr 1 | Disposal (Vehicle A) | 12 640 || Jan 1 | Balance b/d | 12 700
Dec 31 | Balance c/d | 12 200 || Dec 31 | Income Statement | 12 140
| | 24 840 || | | 24 840
||| 2022 Jan 1 | Balance b/d | 12 200

(a)(ii)
Disposal of Delivery Vehicles Account
Date | Details | Amount ($) || Date | Details | Amount ($)
2021 ||| 2021 ||
Apr 1 | Delivery Vehicles (Cost) | 40 000 || Apr 1 | Prov. for Deprec. | 12 640
|||| Apr 1 | Cash/Bank | 23 000
|||| Dec 31 | Income Statement (Loss) | 4 360
| | 40 000 || | | 40 000

(b) Carrying value calculation at 31 December 2021:
- Cost of remaining vehicles (B & C) = $30 000 + $50 000 = $80 000
- Accumulated depreciation remaining = $7 200 (Vehicle B) + $5 000 (Vehicle C) = $12 200
- Carrying Value = $80 000 - $12 200 = $67 800
(Alternatively: Vehicle B carrying value $22 800 + Vehicle C carrying value $45 000 = $67 800)

(c) Discussion points:
- Motor vehicles typically lose a higher proportion of their value in the early years of service because of obsolescence, wear, and market factors. The reducing balance method charges higher depreciation in early years, which reflects this pattern.
- Over time, repairs and maintenance costs for vehicles increase. By combining reducing balance depreciation (which decreases over time) with increasing maintenance costs, the total annual operational cost of the vehicles remains relatively stable, which satisfies the matching/accruals principle.
- Conversely, the straight-line method assumes equal economic benefits are consumed each year, which is rarely true for delivery vehicles.
- Thus, the reducing balance method is considered more appropriate for delivery vehicles.

評分準則

Part (a)(i) Provision for depreciation of delivery vehicles account (5 marks):
- $12 700 Balance b/d (1)
- $12 640 Debit to Disposal (1)
- $12 140 Credit to Income Statement (2) [1 mark for workings, 1 mark for correct value]
- $12 200 Balance c/d and Balance b/d (1)

Part (a)(ii) Disposal of delivery vehicles account (4 marks):
- $40 000 Debit for Cost of Vehicle A (1)
- $12 640 Credit for accumulated depreciation (1)
- $23 000 Credit for Disposal Proceeds (1)
- $4 360 Credit to Income Statement (Loss on disposal) (1)

Part (b) Carrying value calculation (2 marks):
- Correctly showing remaining cost ($80 000) and/or remaining accumulated depreciation ($12 200) (1)
- Correct carrying value of $67 800 (1)

Part (c) Discussion (4 marks):
- Identify that motor vehicles experience higher loss of value/efficiency in early years (1 mark)
- Explain that maintenance and repairs increase as vehicles age (1 mark)
- Explain that reducing balance method + rising repair cost creates a more even overall expense charge over the asset's useful life (matching/accruals principle) (1 mark)
- Reach a clear conclusion/recommendation favoring reducing balance method (1 mark)
題目 4 · structured
30
Vanguard Manufacturing Ltd produces customized industrial parts. The manufacturing process consists of three production departments: Machining, Assembly, and Finishing. It also utilizes two service departments: Maintenance and Canteen.

The budgeted overhead costs and other operating data for the year ending 31 December 2024 are as follows:

**Budgeted Overhead Costs:**
* Indirect materials (already allocated): Machining $12,000; Assembly $8,000; Finishing $6,000; Maintenance $4,000; Canteen $2,000
* Indirect labor (already allocated): Machining $18,000; Assembly $22,000; Finishing $14,000; Maintenance $8,000; Canteen $5,000
* Rent and Rates: $90,000
* Power: $45,000
* Depreciation of Machinery: $60,000

**Technical and Operating Data:**

| Operational Measure | Machining | Assembly | Finishing | Maintenance | Canteen | Total |
| :--- | :---: | :---: | :---: | :---: | :---: | :---: |
| Floor Area (sq meters) | 4,000 | 3,000 | 2,000 | 600 | 400 | 10,000 |
| Kilowatt Hours (kWh) | 8,000 | 4,000 | 2,000 | 1,000 | 0 | 15,000 |
| Net Book Value of Machinery ($) | 120,000 | 40,000 | 20,000 | 20,000 | 0 | 200,000 |
| Maintenance Hours Worked | 1,200 | 600 | 400 | — | 200 | 2,400 |
| Number of Employees | 18 | 14 | 8 | 5 | 3 | 48 |
| Budgeted Machine Hours | 12,080 | 1,500 | 800 | — | — | 14,380 |
| Budgeted Direct Labor Hours | 4,000 | 11,510 | 14,240 | — | — | 29,750 |

**Required:**

**a)** Prepare an overhead analysis sheet showing the allocation and apportionment of overhead costs to all five departments for the year ending 31 December 2024. State the basis of apportionment used for each overhead. *(8 marks)*

**b)** Re-apportion the service department overheads to the production departments using the step-down method, re-apportioning Maintenance first (on the basis of maintenance hours worked) and Canteen second (on the basis of number of employees). *(6 marks)*

**c)** Calculate the Overhead Absorption Rate (OAR) for each of the three production departments using an appropriate base. Round your answers to two decimal places. *(6 marks)*

**d)** Vanguard Manufacturing Ltd has received an inquiry for Job 412. The following estimates have been made for the resources required for this job:
* Direct materials: $450
* Direct labor hours:
* Machining: 5 hours at $15 per hour
* Assembly: 12 hours at $12 per hour
* Finishing: 8 hours at $10 per hour
* Machine hours required:
* Machining: 15 machine hours
* Assembly: 2 machine hours
* Finishing: 1 machine hour

The company applies a profit markup of 25% on total cost.
Calculate the quoted selling price for Job 412. *(6 marks)*

**e)** Discuss one advantage and one disadvantage of using absorption costing instead of marginal costing for pricing decisions. *(4 marks)*
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解題

### **Part (a): Overhead Analysis Sheet**

| Overhead Cost | Basis of Apportionment | Machining ($) | Assembly ($) | Finishing ($) | Maintenance ($) | Canteen ($) | Total ($) |
| :--- | :--- | :---: | :---: | :---: | :---: | :---: | :---: |
| Indirect Materials | Direct Allocation | 12,000 | 8,000 | 6,000 | 4,000 | 2,000 | 32,000 |
| Indirect Labor | Direct Allocation | 18,000 | 22,000 | 14,000 | 8,000 | 5,000 | 67,000 |
| Rent and Rates | Floor Area (4:3:2:0.6:0.4) | 36,000 | 27,000 | 18,000 | 5,400 | 3,600 | 90,000 |
| Power | Kilowatt Hours (8:4:2:1:0) | 24,000 | 12,000 | 6,000 | 3,000 | 0 | 45,000 |
| Depreciation | NBV of Machinery (12:4:2:2:0) | 36,000 | 12,000 | 6,000 | 6,000 | 0 | 60,000 |
| **Total Allocated/Apportioned** | | **126,000** | **81,000** | **50,000** | **26,400** | **10,600** | **294,000** |

*Workings:*
* **Rent and Rates ($90,000):** Allocated based on Floor Area (total 10,000 sq m)
* Machining: \( 90,000 \times \frac{4,000}{10,000} = \$36,000 \)
* Assembly: \( 90,000 \times \frac{3,000}{10,000} = \$27,000 \)
* Finishing: \( 90,000 \times \frac{2,000}{10,000} = \$18,000 \)
* Maintenance: \( 90,000 \times \frac{600}{10,000} = \$5,400 \)
* Canteen: \( 90,000 \times \frac{400}{10,000} = \$3,600 \)
* **Power ($45,000):** Allocated based on Kilowatt Hours (total 15,000 kWh)
* Machining: \( 45,000 \times \frac{8,000}{15,000} = \$24,000 \)
* Assembly: \( 45,000 \times \frac{4,000}{15,000} = \$12,000 \)
* Finishing: \( 45,000 \times \frac{2,000}{15,000} = \$6,000 \)
* Maintenance: \( 45,000 \times \frac{1,000}{15,000} = \$3,000 \)
* Canteen: \( 45,000 \times 0 = \$0 \)
* **Depreciation ($60,000):** Allocated based on Net Book Value of Machinery (total $200,000)
* Machining: \( 60,000 \times \frac{120,000}{200,000} = \$36,000 \)
* Assembly: \( 60,000 \times \frac{40,000}{200,000} = \$12,000 \)
* Finishing: \( 60,000 \times \frac{20,000}{200,000} = \$6,000 \)
* Maintenance: \( 60,000 \times \frac{20,000}{200,000} = \$6,000 \)
* Canteen: \( 60,000 \times 0 = \$0 \)

---

### **Part (b): Re-apportionment of Service Department Overheads (Step-Down Method)**

1. **Maintenance Department (Total = $26,400)**
* Apportioned based on Maintenance Hours Worked: Machining (1,200), Assembly (600), Finishing (400), Canteen (200). Total hours = 2,400.
* Rate: \( \frac{\$26,400}{2,400 \text{ hours}} = \$11.00 \text{ per hour} \)
* Machining: \( 1,200 \times \$11 = \$13,200 \)
* Assembly: \( 600 \times \$11 = \$6,600 \)
* Finishing: \( 400 \times \$11 = \$4,400 \)
* Canteen: \( 200 \times \$11 = \$2,200 \)

2. **Canteen Department (Total = $10,600 (original) + $2,200 (re-apportioned) = $12,800)**
* Apportioned based on Number of Employees in Production Departments only: Machining (18), Assembly (14), Finishing (8). Total employees = 40.
* Machining: \( \$12,800 \times \frac{18}{40} = \$5,760 \)
* Assembly: \( \$12,800 \times \frac{14}{40} = \$4,480 \)
* Finishing: \( \$12,800 \times \frac{8}{40} = \$2,560 \)

**Summary of Re-apportionment:**

| Department | Machining ($) | Assembly ($) | Finishing ($) | Maintenance ($) | Canteen ($) |
| :--- | :---: | :---: | :---: | :---: | :---: |
| Initial Totals | 126,000 | 81,000 | 50,000 | 26,400 | 10,600 |
| Re-apportion Maintenance | 13,200 | 6,600 | 4,400 | (26,400) | 2,200 |
| Re-apportion Canteen | 5,760 | 4,480 | 2,560 | — | (12,800) |
| **Total Overheads** | **144,960** | **92,080** | **56,960** | **0** | **0** |

---

### **Part (c): Overhead Absorption Rates (OAR)**

* **Machining:** Mainly capital-intensive (machine hours exceed labor hours). Appropriate base: **Machine Hours**.
* \( \text{OAR} = \frac{\$144,960}{12,080 \text{ machine hours}} = \$12.00 \text{ per machine hour} \)
* **Assembly:** Mainly labor-intensive (labor hours exceed machine hours). Appropriate base: **Direct Labor Hours**.
* \( \text{OAR} = \frac{\$92,080}{11,510 \text{ labor hours}} = \$8.00 \text{ per direct labor hour} \)
* **Finishing:** Mainly labor-intensive (labor hours exceed machine hours). Appropriate base: **Direct Labor Hours**.
* \( \text{OAR} = \frac{\$56,960}{14,240 \text{ labor hours}} = \$4.00 \text{ per direct labor hour} \)

---

### **Part (d): Selling Price for Job 412**

* **Direct Materials:** $450.00
* **Direct Labor:**
* Machining: \( 5 \text{ hours} \times \$15 = \$75.00 \)
* Assembly: \( 12 \text{ hours} \times \$12 = \$144.00 \)
* Finishing: \( 8 \text{ hours} \times \$10 = \$80.00 \)
* *Total Direct Labor:* $299.00
* **Prime Cost:** \( \$450.00 + \$299.00 = \$749.00 \)
* **Overheads Absorbed:**
* Machining: \( 15 \text{ machine hours} \times \$12.00 = \$180.00 \) (using Machining OAR based on machine hours)
* Assembly: \( 12 \text{ direct labor hours} \times \$8.00 = \$96.00 \) (using Assembly OAR based on labor hours)
* Finishing: \( 8 \text{ direct labor hours} \times \$4.00 = \$32.00 \) (using Finishing OAR based on labor hours)
* *Total Overheads:* $308.00
* **Total Cost:** \( \$749.00 + \$308.00 = \$1,057.00 \)
* **Add: Profit Markup (25% on cost):** \( \$1,057.00 \times 25\% = \$264.25 \)
* **Quoted Selling Price:** \( \$1,057.00 + \$264.25 = \$1,321.25 \)

---

### **Part (e): Evaluation of Absorption Costing for Pricing Decisions**

* **Advantage (Max 2 marks):**
* It ensures that all production costs (both fixed and variable) are fully recovered in the selling price, protecting the company from selling at an overall loss in the long run (1) + expansion/explanation (1).
* **Disadvantage (Max 2 marks):**
* Since fixed costs are allocated on an arbitrary basis, the resulting product cost can be inaccurate, which may lead to uncompetitive pricing or overpricing, causing loss of sales to competitors (1) + expansion/explanation (1).
* Alternatively, it is not suitable for short-term decision making (like accepting special one-off orders) where only marginal (incremental) costs are relevant (1).

評分準則

**Part (a): Overhead Analysis (8 marks)**
* Rent & Rates apportionment & basis (Floor Area): [1] mark
* Power apportionment & basis (Kilowatt Hours): [1] mark
* Depreciation apportionment & basis (NBV of Machinery): [1] mark
* Machining total ($126,000): [1] mark
* Assembly total ($81,000): [1] mark
* Finishing total ($50,000): [1] mark
* Maintenance total ($26,400): [1] mark
* Canteen total ($10,600): [1] mark

**Part (b): Re-apportionment (6 marks)**
* Maintenance allocation to production and Canteen (rate of $11/hr or correct values): [2] marks
* Updated Canteen total ($12,800): [1] mark (method/accuracy)
* Canteen re-apportionment to production (M: $5,760, A: $4,480, F: $2,560): [2] marks
* Final Production totals (Machining: $144,960; Assembly: $92,080; Finishing: $56,960): [1] mark (for all three correct)

**Part (c): OAR calculations (6 marks)**
* Identification of appropriate bases (Machining = Machine hours; Assembly & Finishing = Labor hours): [1] mark for Machining, [1] mark for Assembly & Finishing
* Machining OAR ($12.00 per machine hour): [1] mark (Allow OF from (b))
* Assembly OAR ($8.00 per labor hour): [1] mark (Allow OF from (b))
* Finishing OAR ($4.00 per labor hour): [1] mark (Allow OF from (b))
* Correct OAR labels/units (e.g., "per hour"): [1] mark

**Part (d): Job 412 Quote (6 marks)**
* Prime Cost ($749.00): [1] mark (showing Materials and Labor)
* Machining overhead absorbed (15 hrs \(\times \$12\) OAR = $180.00): [1] mark (Allow OF)
* Assembly overhead absorbed (12 hrs \(\times \$8\) OAR = $96.00): [1] mark (Allow OF - check that labor hours were used, not machine hours)
* Finishing overhead absorbed (8 hrs \(\times \$4\) OAR = $32.00): [1] mark (Allow OF - check that labor hours were used, not machine hours)
* Total Cost calculation ($1,057.00): [1] mark
* Selling Price with 25% markup ($1,321.25): [1] mark (Allow OF)

**Part (e): Discussion (4 marks)**
* [1] mark for stating an advantage + [1] mark for development.
* [1] mark for stating a disadvantage + [1] mark for development.

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