2023 HKDSE Business, Accounting and Financial Studies Answers & Marking Scheme

First, calculate the new profit-sharing ratio. Carl's share is 1/5 (or 5/25). The remaining 4/5 is shared between Alan and Betty in the ratio of 3:2. Alan's new share = \(\frac{4}{5} \times \frac{3}{5} = \frac{12}{25}\). Betty's new share = \(\frac{4}{5} \times \frac{2}{5} = \frac{8}{25}\). The new ratio is 12:8:5. Goodwill adjustment: Credit old partners in old ratio (Alan: \(\$50,000 \times \frac{3}{5} = \$30,000\)) and debit all partners in new ratio (Alan: \(\$50,000 \times \frac{12}{25} = \$24,000\)). Net credit to Alan's capital account = \(\$30,000 - \$24,000 = \$6,000\). Alan's new capital balance = \(\$120,000 + \$6,000 = \$126,000\).

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

Expected Cost of Goods Sold (COGS) = \(\$360,000 \times (1 - 25\%) = \$270,000\). Expected Closing Inventory = \(\text{Opening Inventory} + \text{Purchases} - \text{COGS} = \$45,000 + \$280,000 - \$270,000 = \$55,000\). Cost of inventory destroyed = \(\text{Expected Closing Inventory} - \text{Actual Undamaged Closing Inventory} = \$55,000 - \$38,000 = \$17,000\).

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

1. Correction of omitted sales of \(\$3,500\) increases both gross profit and net profit by \(\$3,500\). 2. Capitalizing the equipment purchase reduces purchases by \(\$8,000\), which increases gross profit by \(\$8,000\) and net profit by \(\$8,000\). However, depreciation on the equipment must be recorded: \(\$8,000 \times 20\% = \$1,600\), which reduces net profit by \(\$1,600\). Corrected Gross Profit = \(\$120,000 + \$3,500 + \$8,000 = \$131,500\). Corrected Net Profit = \(\$50,000 + \$3,500 + \$8,000 - \$1,600 = \$59,900\).

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

First and final call per share = \(\text{Issue price} - \text{Application} - \text{Allotment} = (\$2 + \$0.5) - \$0.8 - \$1.2 = \$0.5\). Total first and final call amount expected on 500,000 shares = \(500,000 \times \$0.5 = \$250,000\). Cash not received (calls-in-arrears) on 5,000 shares = \(5,000 \times \$0.5 = \$2,500\). Net cash received = \(\$250,000 - \$2,500 = \$247,500\).

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

(1) increases Current Assets by \(\$2,000\) (Inventory decreases by \(\$10,000\), Trade Debtors increases by \(\$12,000\)), and increases Quick Assets by \(\$12,000\) with no change in Current Liabilities. Both ratios increase. (2) increases Current Assets and Quick Assets by \(\$15,000\) (Cash increases) with no change in Current Liabilities (as equipment is a non-current asset). Both ratios increase. (3) decreases Current Assets/Quick Assets and Current Liabilities by \(\$5,000\). Since the initial current ratio > 1, it increases. Since the initial quick ratio < 1, it decreases. Thus, (3) does not increase both ratios.

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

According to the accrual concept, expenses are recognized when they are incurred or consumed rather than when cash is paid. Since only 3 months of insurance (from 1 October to 31 December 2022) were used in the financial year 2022, only \(\frac{3}{36} \times \$36,000 = \$3,000\) is recognized as an expense for the year. The remaining \(\$33,000\) is treated as a prepayment (asset).

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

First, adjust the cash book balance: \(\text{Adjusted Cash Book Balance} = -\$12,500 \text{ (overdraft)} - \$450 \text{ (bank charges)} - \$1,200 \text{ (dishonoured cheque)} = -\$14,150\). Then, perform reconciliation to find the bank statement balance: \(\text{Bank Statement Balance} = \text{Adjusted Cash Book Balance} + \text{Unpresented Cheques} - \text{Uncredited Deposits} = -\$14,150 + \$3,800 - \$6,200 = -\$16,550\). A negative balance indicates an overdraft of \(\$16,550\).

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

NPV of Project X = \(-\$100,000 + \frac{\$121,000}{(1.08)^2} = -\$100,000 + \$103,738 = \$3,738\). NPV of Project Y = \(-\$100,000 + \frac{\$58,000}{1.08} + \frac{\$58,000}{(1.08)^2} = -\$100,000 + \$53,704 + \$49,725 = \$3,429\). Project X should be chosen because it has a higher NPV.

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

(1) is correct: A partnership is not a separate legal entity. (2) is correct: General partners have unlimited personal liability, whereas shareholders' liability is limited to the unpaid portion of shares. (3) is incorrect: Neither general partnerships nor private limited companies are required to publish their financial statements to the general public.

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

Statement (1) and (2) are correct as voluntary product recall for customer safety shows social responsibility and ethical behavior over profits. Statement (3) is incorrect because the company's action was voluntary and not driven by any statutory legal requirements.

Award 2 marks for selecting the correct option. No marks are given for incorrect choices.

1. Calculate Bobby's interest on capital: \$80,000 \times 5\% = \$4,000. Andy's interest on capital: \$100,000 \times 5\% = \$5,000. 2. Calculate remaining profit for distribution: \$96,000 - \$12,000 (salary) - \$5,000 (Andy's interest) - \$4,000 (Bobby's interest) = \$75,000. 3. Bobby's share of residual profit: \$75,000 \times \frac{2}{5} = \$30,000. 4. Total amount credited to Bobby's current account = Salary (\$12,000) + Interest on capital (\$4,000) + Share of profit (\$30,000) = \$46,000. Drawings are debited to the current account and do not affect the total amount credited.

Award 2 marks for the correct option C. Otherwise, 0 marks.

1. Credit Sales = Closing Receivables (\$31,000) + Cash Received (\$145,000) + Discount Allowed (\$4,000) - Opening Receivables (\$24,000) = \$156,000. 2. Credit Purchases = Closing Payables (\$15,000) + Cash Paid (\$98,000) + Discount Received (\$3,000) + Returns Outwards (\$2,500) - Opening Payables (\$18,000) = \$100,500.

Award 2 marks for the correct option A. Otherwise, 0 marks.

Draft net profit = \$148,000. (1) Depreciation over-provided: overstates expenses, so add back \$6,000. (2) Purchase of equipment entered in purchases: overstates purchases (revenue expense), so add back \$25,000. (3) Repair expenses debited to asset account: understates repairs (revenue expense), so deduct \$3,500. Corrected net profit = \$148,000 + \$6,000 + \$25,000 - \$3,500 = \$175,500.

Award 2 marks for the correct option C. Otherwise, 0 marks.

Retained profits balance = Opening balance (\$450,000) - Final dividend (1,000,000 shares \times \$0.05 = \$50,000) - Bonus issue capitalization (\$200,000) + Net profit (\$380,000) = \$580,000. The new ordinary share issue on 1 October 2022 only affects share capital and bank, and does not affect retained profits.

Award 2 marks for the correct option A. Otherwise, 0 marks.

1. Gross Profit Margin is 25%, meaning Cost of Goods Sold represents 75% of sales. 2. Sales = \$273,750 / 0.75 = \$365,000. 3. Trade receivables collection period = (Closing Trade Receivables / Credit Sales) \times 365 days = (\$40,000 / \$365,000) \times 365 days = 40 days.

Award 2 marks for the correct option B. Otherwise, 0 marks.

1. Write off existing goodwill of \$30,000 in old ratio (2:1): Chris's share = \$30,000 \times \frac{2}{3} = \$20,000 (Debit). Capital balance after write-off = \$120,000 - \$20,000 = \$100,000. 2. Goodwill adjustment for new valuation of \$45,000: Credit old partners in old ratio (2:1): Chris +\$30,000. Debit all partners in new ratio (2:2:1): Chris -\$18,000 (\$45,000 \times \frac{2}{5}). Net goodwill credit to Chris = \$12,000. 3. Chris's final capital balance = \$100,000 + \$12,000 = \$112,000.

Award 2 marks for the correct option A. Otherwise, 0 marks.

1. Cost of Goods Sold (COGS) = Sales / (1 + Mark-up) = \$320,000 / 1.25 = \$256,000. 2. Estimated closing inventory before fire = Opening Inventory (\$35,000) + Purchases (\$240,000) - COGS (\$256,000) = \$19,000. 3. Cost of inventory destroyed = Estimated closing inventory (\$19,000) - Salvaged goods (\$8,000) = \$11,000.

Award 2 marks for the correct option A. Otherwise, 0 marks.

Error (1) causes a trial balance discrepancy because only the insurance debit entry was incorrect ($2,100 instead of $1,200), whilst the bank credit was correct ($1,200). Error (2) is an error of omission, so it does not affect trial balance agreement. Error (3) means the credit side of sales is undercast by $800 while individual debtor accounts are posted correctly, causing an imbalance. Error (4) is an error of commission (posted to the wrong person's account, but both are debits), so it does not affect trial balance agreement. Therefore, (1) and (3) require the suspense account.

Award 2 marks for the correct option B. Otherwise, 0 marks.

The refund is for 40,000 shares. Since the application fee is \$1 per share, the amount to refund is 40,000 \times \$1 = \$40,000. When refunding, the application account is debited, and the bank is credited: Debit Ordinary Share Application \$40,000; Credit Bank \$40,000.

Award 2 marks for the correct option B. Otherwise, 0 marks.

Let Liquid Assets = \$80,000 and Current Liabilities = \$100,000 (Liquid ratio = 0.8:1). (1) Sell inventory (cost \$10,000) for \$12,000 cash: Liquid assets increase by \$12,000 (cash). Liquid ratio increases to (\$80,000 + \$12,000) / \$100,000 = 0.92:1. (2) Receive cash from trade receivable: Liquid assets unchanged (cash increases, trade receivables decrease by the same amount). Liquid ratio unchanged. (3) Pay trade payable by cash: Liquid assets decrease by \$8,000, Current liabilities decrease by \$8,000. New Liquid Ratio = \$72,000 / \$92,000 = 0.78:1 (decreased). (4) Purchase inventory on credit: Liquid assets unchanged (inventory is not a liquid asset), Current liabilities increase by \$6,000. Liquid ratio decreases. Therefore, only (1) increases the liquid ratio.

Award 2 marks for the correct option A. Otherwise, 0 marks.

Goodwill total is $50,000. Under the old profit-sharing ratio (3:2), Andy's share is \(\$50,000 \times 3/5 = \$30,000\) (Cr.). Under the new profit-sharing ratio (5:3:2), Andy's share is \(\$50,000 \times 5/10 = \$25,000\) (Dr.). The net adjustment to Andy's capital is a credit of \(\$30,000 - \$25,000 = \$5,000\). Therefore, Andy's final capital balance is \(\$120,000 + \$5,000 = \$125,000\).

Award 2 marks for the correct answer A.

Closing Capital = Total Assets - Total Liabilities = \(\$280,000 - \$60,000 = \$220,000\). Closing Capital = Opening Capital + Additional Capital + Net Profit - Drawings. \(\$220,000 = \$150,000 + \$30,000 + \text{Net Profit} - \$8,000\). \(\$220,000 = \$172,000 + \text{Net Profit}\). Net Profit = \(\$48,000\).

Award 2 marks for the correct answer A.

Error (1) is a one-sided error where only the rent account is debited twice while the bank account is credited once, which causes an imbalance in the trial balance and affects the suspense account. Error (2) is an error of original entry (both debit and credit are recorded as $5,300), which does not affect the agreement of the trial balance. Error (3) is an error of principle (both are debits), which also does not affect the trial balance agreement. Thus, only (1) affects the suspense account.

Award 2 marks for the correct answer A.

Bonus shares issued on 1 April 2022 = \(500,000 \times 1/5 = 100,000\) shares. Total shares after bonus issue = \(500,000 + 100,000 = 600,000\) shares. Rights shares issued on 1 October 2022 = \(600,000 \times 1/6 = 100,000\) shares. Total shares on 31 December 2022 = \(600,000 + 100,000 = 700,000\) shares.

Award 2 marks for the correct answer A.

Cost of Goods Sold (COGS) = \(\text{Sales} \times (1 - \text{Gross Profit Margin}) = \$800,000 \times (1 - 0.25) = \$600,000\). Average Inventory = \((\text{Opening Inventory} + \text{Closing Inventory}) / 2 = (\$40,000 + \$60,000) / 2 = \$50,000\). Inventory Turnover Rate = \(\text{COGS} / \text{Average Inventory} = \$600,000 / \$50,000 = 12\) times.

Award 2 marks for the correct answer A.

Both private limited companies and partnerships must register for business in Hong Kong. Private companies provide limited liability to owners, while general partners have unlimited liability. Neither private companies nor partnerships are required to publish their financial accounts to the general public. Therefore, only statements (1) and (2) are correct.

Award 2 marks for the correct answer A.

The annual interest rate is 6%, compounded semi-annually, so the interest rate per period is \(6\% / 2 = 3\%\) (or 0.03). The number of compounding periods in 2 years is \(2 \times 2 = 4\) periods. The future value = \(\$20,000 \times (1 + 0.03)^4 = \$20,000 \times 1.12550881 = \$22,510.18\), which rounds to $22,510.

Award 2 marks for the correct answer A.

Cash Conversion Cycle = Days Inventory Outstanding + Days Sales Outstanding - Days Payable Outstanding. (1) Offering longer credit periods increases Days Sales Outstanding, which increases the cycle. (2) Taking early payment discounts decreases Days Payable Outstanding, which also increases the cycle. (3) Implementing JIT inventory system reduces Days Inventory Outstanding, which decreases the cycle. Thus, (1) and (2) increase the cash conversion cycle.

Award 2 marks for the correct answer A.

The management function of "controlling" involves monitoring actual activities to ensure that they conform to plan, measuring performance against established standards, and taking corrective actions when deviations occur. Option A describes Planning, Option B describes Organizing, and Option D describes Leading.

Award 2 marks for the correct answer C.

The historical cost concept states that assets should be recorded in the accounting records at their original cost (the acquisition cost) rather than their current market value. Thus, recording the machine at $100,000 applies this concept.

Award 2 marks for the correct answer A.

Part (a)
Benefits of converting to a private limited company:
1. Limited liability: The shareholders' liability is limited to their investment in the company, so their personal assets are fully protected.
2. Easier capital acquisition: The company can raise capital by issuing shares to up to 50 shareholders, whereas partnerships have fewer resources.
3. Perpetual succession: The company exists as a separate legal entity and is not dissolved by the death, retirement, or bankruptcy of any shareholder.

Part (b)
Limitations of a private limited company:
1. Less confidentiality: It must prepare audited accounts and submit annual returns to the Companies Registry, making its financial details less private compared to a partnership.
2. Higher setup and administrative costs: It involves legal expenses, audit fees, and annual registration fees.

Part (c)
In business liquidation:
- Under limited liability, the owners' liability is capped at their capital contribution; their personal assets are protected from creditors.
- Under unlimited liability, the owners are personally responsible for all business debts; their personal assets can be seized and used to settle the claims of business creditors.

Part (a) (Max 4 marks)
- Limited liability explained: protects owners' personal assets (2 marks)
- Easier to raise capital explained: can invite up to 50 shareholders / issue shares (2 marks)
- Separate legal entity explained: can enter into contracts and sue/be sued in its own name (2 marks)
- Perpetual succession explained: company's survival unaffected by changes in ownership (2 marks)

Part (b) (Max 1.5 marks)
- Identifying a valid limitation (e.g., less confidentiality, audit requirement, higher setup cost) (1 mark)
- Clear explanation of the identified limitation (0.5 mark)

Part (c) (Max 2 marks)
- Explaining limited liability (personal assets protected / loss limited to capital) (1 mark)
- Explaining unlimited liability (owners personally liable / personal assets can be seized) (1 mark)

Part (a)
Future Value of Option A (\( FV_A \)):
\( FV_A = PV \times (1 + r)^n \)
\( FV_A = 100,000 \times (1 + 0.04)^3 \)
\( FV_A = 100,000 \times 1.124864 \)
\( FV_A = \$112,486 \) (to the nearest dollar)

Part (b)
Future Value of Option B (\( FV_B \)):
Since interest is compounded semi-annually:
- Period interest rate (\( r \)) = \( 3.8\% / 2 = 1.9\% = 0.019 \)
- Number of periods (\( n \)) = \( 3 \times 2 = 6 \)
\( FV_B = 100,000 \times (1 + 0.019)^6 \)
\( FV_B = 100,000 \times 1.1201503 \)
\( FV_B = \$112,015 \) (to the nearest dollar)

Part (c)
Arthur should choose Option A. Based on the calculation, the future value of Option A (\( \$112,486 \)) is higher than Option B (\( \$112,015 \)) by \( \$471 \), which yields a higher financial return.

Part (d)
Non-financial factors include:
- Liquidity: Whether Arthur can withdraw the funds early in case of emergencies without severe penalties.
- Risk: Whether the savings plan (Option B) involves any investment risk compared to a bank fixed deposit (Option A) which is generally safer.

Part (a) (2 marks)
- Correct formula/expression: \( 100,000 \times (1.04)^3 \) (1 mark, method mark)
- Correct final value: \( \$112,486 \) (1 mark, accuracy mark)

Part (b) (3 marks)
- Calculating number of periods (6) and periodic rate (1.9%) (1 mark)
- Correct mathematical substitution: \( 100,000 \times (1.019)^6 \) (1 mark, method mark)
- Correct final value: \( \$112,015 \) (1 mark, accuracy mark)

Part (c) (1.5 marks)
- Decision: Option A (0.5 mark)
- Comparison/Reason: Option A's accumulated amount is higher than Option B by \( \$471 \) (or comparison \( \$112,486 > \$112,015 \)) (1 mark)

Part (d) (1 mark)
- Mentioning one valid non-financial factor (e.g., risk level, liquidity/early withdrawal penalty, financial institution's creditworthiness) (1 mark)

Event 1:
- Concept Violated: Business Entity Concept.
- Explanation & Correct Treatment: Under the business entity concept, a business is treated as a separate legal entity distinct from its owner. Therefore, personal transactions of the owner must be kept separate from business transactions. The \( \$15,000 \) rent for her personal residence paid using business funds should be debited to the "Drawings" account, not "Rent Expense".

Event 2:
- Concept Violated: Going Concern Concept (or Historical Cost Concept).
- Explanation & Correct Treatment: Under the going concern concept, it is assumed that the business will continue its operations for the foreseeable future. Assets should not be valued at their current liquidation/resale value. Therefore, the motor vehicle must be recorded at historical cost (\( \$120,000 \)) less accumulated depreciation based on its expected useful life, rather than being written down to \( \$30,000 \).

Event 3:
- Principle Violated: Realisation Principle.
- Explanation & Correct Treatment: According to the realisation principle, revenue is only recognized when goods are delivered or services are rendered, and the ownership/risks and rewards are transferred. Since the goods will only be delivered in January 2023, the \( \$8,000 \) sales should not be recognized as revenue for the year ended 31 December 2022. It should be recorded as a liability (unearned revenue) in 2022 and recognized as revenue in 2023.

Event 1 (2.5 marks)
- Identifying 'Business Entity Concept' (1 mark)
- Correct treatment explanation: Separating personal vs. business transactions; debit to Drawings instead of Rent Expense (1.5 marks)

Event 2 (2.5 marks)
- Identifying 'Going Concern Concept' (or 'Historical Cost Concept') (1 mark)
- Correct treatment explanation: Assuming business operates indefinitely; value at cost less depreciation rather than liquidation/resale value (1.5 marks)

Event 3 (2.5 marks)
- Identifying 'Realisation Principle' (1 mark)
- Correct treatment explanation: Revenue recognized upon delivery/transfer of ownership in Jan 2023, not when order is placed in Dec 2022 (1.5 marks)

Part (a)
- Task 1: Planning (Chris is setting goals and objectives for the next fiscal year).
- Task 2: Organizing (Chris is grouping tasks and establishing structural relationships).
- Task 3: Controlling (Chris is monitoring performance, comparing results with plans, and taking corrective actions).

Part (b)
Benefits of Planning (Task 1) for the company:
1. Provides direction: It outlines clear goals (e.g., 15% sales growth) so that all department managers and staff know what the company aims to achieve and can align their efforts.
2. Establishes standards for control: Setting a specific target (15% growth) creates a clear benchmark. This enables management to review and evaluate performance in Task 3.
3. Reduces uncertainty/minimizes waste: By planning, the business can anticipate changes in the market, coordinate resources among marketing and finance, and minimize overlapping or wasteful activities.

Part (c)
Difference between line authority and staff authority:
- Line authority: Refers to the direct command authority that flows down the chain of command. Line managers have the right to make decisions and direct their immediate subordinates (e.g., the Operations Manager commanding shop managers).
- Staff authority: Refers to the advisory or supportive authority given to specialists/experts. Staff managers assist, support, and advise line managers but do not have the direct right to command subordinates outside their department (e.g., human resources department advising the marketing manager).

Part (a) (3 marks)
- Identifying Task 1 as Planning (1 mark)
- Identifying Task 2 as Organizing (1 mark)
- Identifying Task 3 as Controlling (1 mark)

Part (b) (3 marks)
- Two explained benefits of planning (1.5 marks each)
- Benefit 1: Provides direction / aligns efforts of employees (1.5 marks)
- Benefit 2: Establishes standards of control (1.5 marks)
- Benefit 3: Reduces uncertainty/anticipates market shifts (1.5 marks)
- Benefit 4: Coordinates resources / minimizes waste (1.5 marks)
[Max 3 marks]

Part (c) (1.5 marks)
- Describing Line Authority (direct authority to command/make decisions along hierarchy) (1 mark)
- Describing Staff Authority (advisory/supportive power given to specialists) (0.5 mark)

(a) Journal Entries:

1.
Dr Sam $900
Cr Suspense $900
(To correct understatement of debit entry to creditor Sam: \( \$4,300 - \$3,400 = \$900 \))

2.
Dr Suspense $4,800
Cr Rent Expenses $2,400
Cr Rent Received $2,400
(To correct rent received incorrectly debited to rent expenses)

3.
Dr Suspense $3,600
Cr May $3,600
(To correct credit sale to May over-posted to her account: \( \$5,100 - \$1,500 = \$3,600 \))

4.
Dr Motor Vehicles $28,000
Cr Purchases $28,000
(To correct motor vehicles entered in purchases journal)

(b) Suspense Account:

Debit Side:
- Rent Expenses / Rent Received: $4,800
- May: $3,600
Total Debit: $8,400

Credit Side:
- Difference as per trial balance (Balance b/f): $7,500
- Sam: $900
Total Credit: $8,400

(a) Journal Entries (6 marks total):
- Entry 1: Dr Sam $900 / Cr Suspense $900 (1.5 marks)
- Entry 2: Dr Suspense $4,800 / Cr Rent Expenses $2,400, Cr Rent Received $2,400 (1.5 marks)
- Entry 3: Dr Suspense $3,600 / Cr May $3,600 (1.5 marks)
- Entry 4: Dr Motor Vehicles $28,000 / Cr Purchases $28,000 (1.5 marks)

(b) Suspense Account (2 marks total):
- Balance b/f $7,500 on Credit side (0.5 mark)
- Sam $900 on Credit side (0.5 mark)
- Rent error correction $4,800 on Debit side (0.5 mark)
- May error correction $3,600 on Debit side (0.5 mark)

(a)
**A and B**
**Profit and Loss Appropriation Account for the year ended 31 December 2022**

- Net Profit: $120,000
- Add: Interest on drawings:
- A (\( \$20,000 \times 10\% \)): $2,000
- B (\( \$15,000 \times 10\% \)): $1,500
- Subtotal: $3,500
- Total: $123,500

- Less: Interest on capital:
- A (\( \$200,000 \times 5\% \)): $10,000
- B (\( \$150,000 \times 5\% \)): $7,500
- Subtotal: ($17,500)
- Less: Salary to B: ($30,000)
- Share of residual profit:
- A (\( 3/5 \times \$76,000 \)): $45,600
- B (\( 2/5 \times \$76,000 \)): $30,400
- Total: $76,000

(b)
**Capital Accounts**

Debit Side:
- C (Goodwill adjustment/write-off): $30,000 (if raising/write-off method is used: A $75,000, B $45,000, C $30,000)
- Balance c/f: A $215,000, B $165,000, C $100,000

Credit Side:
- Balance b/f: A $200,000, B $150,000
- Bank (Capital - C): C $100,000
- Bank (Goodwill - C): C $30,000 (if Goodwill is processed through C's capital first)
- Goodwill adjustment (A & B share of C's goodwill payment based on sacrificing ratio 1:1): A $15,000, B $15,000
- Note: Alternatively, if Goodwill was raised and written off:
- Goodwill (Raise old ratio): A +$90,000, B +$60,000
- Goodwill (Write-off new ratio): A -$75,000, B -$45,000, C -$30,000
- Closing Balances: A $215,000, B $165,000, C $100,000.

(a) Profit and Loss Appropriation Account (4 marks total):
- Interest on drawings (A: $2,000, B: $1,500) (1 mark)
- Interest on capital (A: $10,000, B: $7,500) (1 mark)
- Salary to B ($30,000) (1 mark)
- Share of profit (A: $45,600, B: $30,400) (1 mark)

(b) Capital Accounts (4 marks total):
- Balances b/f (A: $200,000, B: $150,000) (0.5 mark)
- C's cash capital introduction of $100,000 (1 mark)
- Goodwill adjustment entry (A: +$15,000, B: +$15,000) (1.5 marks)
- Closing balances (A: $215,000, B: $165,000, C: $100,000) (1 mark)

(a)
Cost of goods sold (COGS) = \( \$900,000 \times (1 - 30\%) = \$630,000 \)
Average inventory = \( \frac{\$60,000 + \$90,000}{2} = \$75,000 \)
Inventory turnover = \( \frac{\$630,000}{\$75,000} = 8.40 \) times

(b)
Average trade receivables = \( \frac{\$105,000 + \$75,000}{2} = \$90,000 \)
Average collection period = \( \frac{\$90,000}{\$900,000} \times 365 \text{ days} = 36.50 \) days

(c)
Quick Assets = Trade Receivables + Cash and bank = \( \$75,000 + \$25,000 = \$100,000 \)
Current liabilities = Trade Payables = \( \$50,000 \)
Liquid ratio = \( \frac{\$100,000}{\$50,000} = 2.00 : 1 \) (or 2:1)

(d)
Net profit = \( \$900,000 \times 8\% = \$72,000 \)
Interest on debentures = \( \$100,000 \times 10\% = \$10,000 \)
Net profit before interest = \( \$72,000 + \$10,000 = \$82,000 \)
Capital Employed = Share Capital & Reserves + Long-term Debentures = \( \$350,000 + \$100,000 = \$450,000 \)
ROCE = \( \frac{\$82,000}{\$450,000} \times 100\% = 18.22\% \)

(a) Inventory turnover (2 marks):
- 1 mark for calculating COGS ($630,000) and Average inventory ($75,000)
- 1 mark for correct answer: 8.40 times

(b) Average collection period (2 marks):
- 1 mark for formula / correct substitution (\( \frac{\$90,000}{\$900,000} \times 365 \))
- 1 mark for correct answer: 36.50 days

(c) Liquid ratio (2 marks):
- 1 mark for identifying quick assets ($100,000) and current liabilities ($50,000)
- 1 mark for correct answer: 2.00 : 1 (or 2 : 1)

(d) ROCE (2 marks):
- 1 mark for correct Net Profit Before Interest ($82,000) and Capital Employed ($450,000)
- 1 mark for correct answer: 18.22%

(a) Revaluation Account\nDr: Inventory write-down $4,000; Capital - Alan $6,600, Bob $4,400. Cr: Equipment $15,000.\n\n(b) Partners' Capital Accounts\nDebit side:\n- Goodwill (new ratio 5:3:2): Alan $50,000; Bob $30,000; Carl $20,000\n- Balance c/f: Alan $136,600; Bob $94,400; Carl $80,000\nCredit side:\n- Balance b/f: Alan $120,000; Bob $80,000\n- Revaluation: Alan $6,600; Bob $4,400\n- Goodwill (old ratio 3:2): Alan $60,000; Bob $40,000\n- Cash (Carl): Carl $60,000\n- Motor vehicle (Carl): Carl $40,000\n\n(c) Three differences:\n1. Legal status: A partnership is not a separate legal entity, whereas a limited company is a separate legal entity.\n2. Liability: Partners (except limited partners) have unlimited liability, whereas shareholders of a limited company have limited liability up to the amount of their shares.\n3. Transfer of ownership: Partners cannot transfer their ownership interest to outsiders without the unanimous consent of all other partners, whereas shareholders can transfer shares (with restrictions for private companies, and freely for public companies).

(a) Revaluation Account: \n- Debit Inventory adjustment: $4,000 [0.5 mark]\n- Credit Equipment adjustment: $15,000 [0.5 mark]\n- Share of profit on revaluation: Alan $6,600 [1 mark], Bob $4,400 [1 mark]\n\n(b) Capital Accounts:\n- Balance b/f for Alan & Bob [0.5 mark]\n- Revaluation profit credit to Alan & Bob [0.5 mark]\n- Goodwill adjustment in old ratio (Cr Alan $60,000, Bob $40,000) [1 mark]\n- Goodwill adjustment in new ratio (Dr Alan $50,000, Bob $30,000, Carl $20,000) [1.5 marks, 0.5 each]\n- Carl's contributions (Cash $60,000 and Motor Vehicle $40,000) [1 mark, 0.5 each]\n- Balances c/f (Alan $136,600, Bob $94,400, Carl $80,000) [1.5 marks, 0.5 each]\n\n(c) State three differences [1 mark each, max 3 marks].

(a) Calculation of Sales and Purchases:\n- Credit Sales = Cash Received from Debtors ($385,000) + Bad debts written off ($2,000) + Adjusted Closing Debtors ($42,000 - $2,000 = $40,000) - Opening Debtors ($34,000) = $393,000\n- Total Sales = Credit Sales ($393,000) + Cash Sales ($120,000) = $513,000\n- Credit Purchases (Total Purchases) = Cash Paid to Creditors ($242,000) + Closing Creditors ($28,000) - Opening Creditors ($21,000) = $249,000\n\n(b) Trading and Profit and Loss Account for the year ended 31 December 2022:\n- Sales: $513,000\n- Less Cost of Goods Sold: Opening Inventory ($15,000) + Purchases ($249,000) - Closing Inventory ($18,000) = $246,000\n- Gross Profit = $267,000\n- Less Expenses: Operating Expenses ($84,000 - $3,500 + $5,200 = $85,700) + Bad debts ($2,000) = $87,700\n- Net Profit = $179,300\n\n(c) Two reasons:\n1. Legal and tax compliance: Tax authorities require proper records to compute tax liability accurately.\n2. Decision making and control: Correct financial records help owners assess business performance and manage cash flow effectively.

(a)\n- Calculate credit sales: $393,000 [2 marks]\n- Calculate total sales: $513,000 [1 mark]\n- Calculate total purchases: $249,000 [2 marks]\n\n(b)\n- Presentation of Sales and Cost of Goods Sold [2 marks]\n- Gross Profit calculation ($267,000) [1 mark]\n- Adjustments of Operating Expenses ($85,700) and Bad Debts ($2,000) [1.5 marks]\n- Net Profit calculation ($179,300) [0.5 mark]\n\n(c)\n- State two valid reasons [1 mark each, max 2 marks].

Workings:\n\n1. Credit Purchases:\n\( \text{Purchases} = \$375,000 (\text{payments}) + \$47,000 (\text{closing balance}) - \$42,000 (\text{opening balance}) = \$380,000 \)\n\n2. Credit Sales:\n\( \text{Credit Sales} = \$290,000 (\text{receipts}) + \$2,000 (\text{bad debts}) + \$44,000 (\text{closing balance}) - \$38,000 (\text{opening balance}) = \$298,000 \)\n\n3. Cost of Goods Sold & Total Sales:\n\( \text{Cost of Goods Sold} = \$56,000 (\text{opening inventory}) + \$380,000 (\text{purchases}) - \$68,000 (\text{closing inventory}) = \$368,000 \)\nSince Gross Profit Margin is 20% on sales, Cost of Goods Sold is 80% of sales.\n\( \text{Total Sales} = \frac{\$368,000}{80\%} = \$460,000 \)\n\( \text{Gross Profit} = \$460,000 \times 20\% = \$92,000 \)\n\n4. Cash Sales & Cash Stolen:\n\( \text{Cash Sales} = \$460,000 (\text{Total Sales}) - \$298,000 (\text{Credit Sales}) = \$162,000 \)\n\nCash Control Account:\nDebit side: \( \text{Opening balance} (\$3,500) + \text{Cash Sales} (\$162,000) = \$165,500 \)\nCredit side: \( \text{Drawings} (\$12,000) + \text{Sundry shop expenses} (\$1,300) + \text{Wages} (\$15,000) + \text{Banked} (\$126,000) + \text{Closing balance} (\$4,200) = \$158,500 \)\n\( \text{Cash stolen (balancing figure)} = \$165,500 - \$158,500 = \$7,000 \)\n\( \text{Insurance compensation receivable (80\%)} = \$7,000 \times 80\% = \$5,600 \)\n\( \text{Net theft loss charged to Profit or Loss} = \$7,000 \times 20\% = \$1,400 \)\n\n5. Expenses and depreciation:\n- Rent: \( \$36,000 + \$3,000 (\text{opening prepaid}) - \$4,500 (\text{closing prepaid}) = \$34,500 \)\n- Operating expenses: \( \$14,800 - \$1,200 (\text{opening accrued}) + \$1,900 (\text{closing accrued}) = \$15,500 \)\n- Depreciation of equipment: \( (\$110,000 + \$25,000) \times 15\% = \$20,250 \)\n- Total expenses = Rent (\$34,500) + Operating expenses (\$15,500) + Wages (\$15,000) + Sundry shop expenses (\$1,300) + Bad debts (\$2,000) + Depreciation (\$20,250) + Net cash theft loss (\$1,400) = \$89,950\n\n6. Closing Bank Balance:\n\( \text{Closing Bank} = \$18,200 (\text{opening}) + \$290,000 + \$126,000 - \$375,000 - \$36,000 - \$25,000 - \$14,800 = -\$16,600 (\text{Bank Overdraft}) \)\n\n7. Opening Capital as at 1 January 2022:\n\( \text{Assets} (\$110,000 + \$56,000 + \$38,000 + \$3,000 + \$18,200 + \$3,500) - \text{Liabilities} (\$42,000 + \$1,200) = \$228,700 - \$43,200 = \$185,500 \)\n\n-----------------------------\n(a) Alan's Trading\nStatement of Profit or Loss for the year ended 31 December 2022\nSales ($298,000 credit + $162,000 cash): $460,000\nLess: Cost of Goods Sold\nOpening Inventory: $56,000\nAdd: Purchases (credit): $380,000\nLess: Closing Inventory: (68,000)\nCost of Goods Sold: (368,000)\nGross Profit: $92,000\n\nLess: Expenses\nRent: $34,500\nOperating expenses: $15,500\nWages: $15,000\nSundry shop expenses: $1,300\nBad debts: $2,000\nDepreciation - Equipment: $20,250\nNet loss on cash theft: $1,400\nTotal Expenses: (89,950)\nNet Profit: $2,050\n\n-----------------------------\n(b) Alan's Trading\nStatement of Financial Position as at 31 December 2022\nNon-Current Assets:\nEquipment, net ($135,000 - $20,250): $114,750\n\nCurrent Assets:\nInventory: $68,000\nTrade receivables: $44,000\nPrepaid rent: $4,500\nOther receivable (Insurance claim): $5,600\nCash in hand: $4,200\nTotal Current Assets: $126,300\n\nLess: Current Liabilities:\nTrade payables: $47,000\nAccrued operating expenses: $1,900\nBank overdraft: $16,600\nTotal Current Liabilities: (65,500)\nNet Current Assets: $60,800\nTotal Assets less Current Liabilities: $175,550\n\nFinanced by:\nOpening Capital: $185,500\nAdd: Net Profit: $2,050\nLess: Drawings: (12,000)\nClosing Capital: $175,550\n\n-----------------------------\n(c) The Accrual History/Matching Principle / Prudence Principle:\n- Prudence Principle: The net cash loss ($1,400) is recognized immediately as an expense in the Statement of Profit or Loss because it is an incurred loss, and the insurance claim of $5,600 is recorded as a receivable (asset) because its realization is virtually certain (the insurance company has agreed to pay), ensuring that profits and assets are not overstated.

(a) Statement of Profit or Loss [Total: 11 marks]\n- Sales calculation (finding credit & cash sales): $460,000 [2 marks (1M for credit sales $298,000, 1M for cash sales $162,000)]\n- Cost of goods sold: $368,000 [1 mark (0.5M for Purchases $380,000, 0.5 for layout)]\n- Gross Profit: $92,000 [1 mark]\n- Expenses (0.5 mark each):\n - Rent: $34,500 [1 mark for calculation]\n - Operating expenses: $15,500 [1 mark for calculation]\n - Wages: $15,000 [0.5 mark]\n - Sundry shop expenses: $1,300 [0.5 mark]\n - Bad debts: $2,000 [0.5 mark]\n - Depreciation: $20,250 [1 mark for calculation]\n - Net cash theft loss: $1,400 [1.5 marks (1M for cash control theft calculation of $7,000, 0.5M for 20% loss)]\n- Net Profit: $2,050 [1 mark]\n\n(b) Statement of Financial Position [Total: 7 marks]\n- Non-current asset (Equipment net): $114,750 [1 mark]\n- Current assets (0.5 mark each):\n - Inventory: $68,000\n - Trade receivables: $44,000\n - Prepaid rent: $4,500\n - Other receivable (Insurance): $5,600 [1 mark]\n - Cash in hand: $4,200\n- Current liabilities:\n - Trade payables: $47,000 [0.5 mark]\n - Accrued expenses: $1,900 [0.5 mark]\n - Bank overdraft: $16,600 [1 mark for bank balance calculation]\n- Capital section (Opening capital + Net Profit - Drawings): [1.5 marks (0.5M for opening capital calculation of $185,500, 0.5M for profit and drawings, 0.5M for balancing)]\n\n(c) Accounting Principle [Total: 2 marks]\n- Identify: Prudence Principle [1 mark]\n- Explanation: Losses must be recognized as soon as they are anticipated/incurred, whereas gains/assets should not be recognized until realized or virtually certain to be realized. Thus, the net loss of $1,400 is charged immediately and the asset of $5,600 is only recognized because the insurance claim is virtually certain. [1 mark]