Worked solution
### (a) Revaluation Account
$$
\begin{array}{lr|lr}
\hline
\text{Debit (\$)} && \text{Credit (\$)} & \\
\hline
\text{Inventory (\$64,000 - \$58,000)} & 6,000 & \text{Equipment (\$145,500 - \$120,000)} & 25,500 \\
\text{Allowance for doubtful debts (10\% } \times \$45,000) & 4,500 & & \\
\text{Share of profit on revaluation:} & & & \\
\quad \text{Alex (3/5)} & 9,000 & & \\
\quad \text{Billy (2/5)} & 6,000 & & \\
\hline
& 25,500 & & 25,500 \\
\hline
\end{array}
$$
### (b) Partners' Capital Accounts
$$
\begin{array}{lccc|lccc}
\hline
\text{Particulars} & \text{Alex (\$)} & \text{Billy (\$)} & \text{Charles (\$)} & \text{Particulars} & \text{Alex (\$)} & \text{Billy (\$)} & \text{Charles (\$)} \\
\hline
\text{Goodwill (written off)} & 50,000 & 30,000 & 20,000 & \text{Balance b/d} & 120,000 & 80,000 & - \\
& & & & \text{Revaluation profit} & 9,000 & 6,000 & - \\
& & & & \text{Bank (Capital)} & - & - & 120,000 \\
& & & & \text{Goodwill (written on)} & 60,000 & 40,000 & - \\
\text{Balance c/d (adjusted)} & 250,000 & 150,000 & 100,000 & \text{Bank (Cash contribution)} & 111,000 & 54,000 & - \\
\hline
& 300,000 & 180,000 & 120,000 & & 300,000 & 180,000 & 120,000 \\
\hline
\end{array}
$$
*Working for Capital Adjustments:*
1. Charles's final capital balance after goodwill write-off = \$120,000 - \$20,000 = \$100,000.
2. Since Charles's profit share is \(2/10\) (or 20%), the total capital of the partnership should be:
$$\text{Total Capital} = \frac{\$100,000}{2/10} = \$500,000$$
3. The adjusted capital balances should be:
- Alex (5/10): \$\$500,000 \times \frac{5}{10} = \$250,000\$\$
- Billy (3/10): \$\$500,000 \times \frac{3}{10} = \$150,000\$\$
- Charles (2/10): \$\$500,000 \times \frac{2}{10} = \$100,000\$\$
4. Cash contributions needed:
- Alex: \$250,000 - (\$120,000 + \$9,000 + \$60,000 - \$50,000) = \$250,000 - \$139,000 = \$111,000 cash contribution.
- Billy: \$150,000 - (\$80,000 + \$6,000 + \$40,000 - \$30,000) = \$150,000 - \$96,000 = \$54,000 cash contribution.
### (c) Goodwill
- **Definition**: Goodwill is an intangible asset that represents the excess of the business's overall purchase value over the fair value of its identifiable net assets. It reflects future economic benefits arising from factors such as brand reputation, customer loyalty, and prime business location.
- **Explanation**: The partners chose not to maintain a Goodwill account because the goodwill in this case is internally generated (non-purchased) goodwill. According to HKAS 38 (Intangible Assets) and the prudence concept, internally generated goodwill cannot be objectively valued and must not be recognised as an asset in the books of accounts. Writing it off immediately prevents the overstatement of the partnership's assets.
### (d) Accounting Principle
- **Principle**: Prudence Concept (or lower of cost and net realisable value rule).
- **Application**: Under the prudence concept, profits and assets should not be overstated, while losses and liabilities should be recognised immediately. Since the net realisable value of inventory (\$58,000) is lower than its historical cost (\$64,000), a write-down of \$6,000 must be made to ensure that the asset is not overstated in the financial statements.
Marking scheme
**(a) Revaluation Account [Total: 4 marks]**
- Debit side: Inventory write-down of \$6,000 (0.5 mark)
- Debit side: Allowance for doubtful debts of \$4,500 (0.5 mark)
- Credit side: Equipment revaluation surplus of \$25,500 (1 mark)
- Revaluation profit distribution: Alex \$9,000 (1 mark), Billy \$6,000 (1 mark)
**(b) Partners' Capital Accounts [Total: 8 marks]**
- Correct opening balances for Alex and Billy (0.5 mark)
- Revaluation profit correctly credited (0.5 mark)
- Bank contribution of \$120,000 credited to Charles (1 mark)
- Goodwill adjustment:
- Goodwill write-on credited in old ratio: Alex \$60,000, Billy \$40,000 (1 mark)
- Goodwill write-off debited in new ratio: Alex \$50,000, Billy \$30,000, Charles \$20,000 (1.5 marks)
- *Note: Net entry (Dr Charles \$20,000, Cr Alex \$10,000, Cr Billy \$10,000) is also acceptable.*
- Cash adjustments to bring capital to the profit-sharing ratio:
- Alex's cash contribution of \$111,000 (1.5 marks)
- Billy's cash contribution of \$54,000 (1.5 marks)
- Correct closing balances c/d (showing proportionate amounts of \$250,000, \$150,000, \$100,000) (0.5 mark)
**(c) Goodwill definition and treatment [Total: 4 marks]**
- Definition of Goodwill (2 marks)
- Reason for not maintaining Goodwill account (internally generated, HKAS 38, prudence) (2 marks)
**(d) Accounting Principle [Total: 2 marks]**
- Identify Prudence Concept (1 mark)
- Explanation in relation to inventory cost vs. net realisable value (1 mark)