- Distribute the \(\$25,000\) goodwill among partners using the old profit-sharing ratio (\(3:2:1\)) to update initial capital accounts.
- Under scenario (a), present the updated capital balances and include goodwill as an asset of \(\$25,000\) on the balance sheet.
- Under scenario (b), write off the goodwill against the capital accounts using the new profit-sharing ratio (\(4:2:1\)), resulting in adjusted capital balances that total \(\$7,000\).
- Finalize both balance sheets ensuring total assets equal total equity.
Explanation
- Distributing Goodwill and Initial Adjustments
To adjust the capital accounts, we first distribute the introduced goodwill of \(\$25,000\) among the partners Ayo, Olu, and Victor using their old profit-sharing ratio of \(3:2:1\).
- Total parts = \(3 + 2 + 1 = 6\).
- Ayo's share = \(\frac{3}{6} \times 25,000 = \$12,500\).
- Olu's share = \(\frac{2}{6} \times 25,000 = \$8,333.33\).
- Victor's share = \(\frac{1}{6} \times 25,000 = \$4,166.67\).
These amounts are added to the initial capital balances:
- Ayo: \(3,000 + 12,500 = \$15,500\).
- Olu: \(1,500 + 8,333.33 = \$9,833.33\).
- Victor: \(2,500 + 4,166.67 = \$6,666.67\).
- Scenario (a): Goodwill Account Opened
In scenario (a), the goodwill account is kept open as an asset. The balance sheet reflects the updated capital accounts and the new asset of \(\$25,000\).
The total assets become: \(\$7,000 (\text{original}) + \$25,000 (\text{goodwill}) = \$32,000\).
The equity section (capital accounts) totals: \(15,500 + 9,833.33 + 6,666.67 = \$32,000\).
Balance Sheet as at 1st January 1998 (Scenario a)
| \textbf{Capital} | | \textbf{Assets} | \) Ayo | 15,500.00 | Other Assets | 7,000.00 \) Olu | 9,833.33 | Goodwill | 25,000.00 \) Victor | 6,666.67 | | \) \textbf{Total} | \textbf{32,000.00} | \textbf{Total} | \textbf{32,000.00} \) |
- Scenario (b): Goodwill Written Off
In scenario (b), the goodwill is written off using the new profit-sharing ratio of \(4:2:1\).
- Total parts = \(4 + 2 + 1 = 7\).
- Total goodwill to write off = \(\$25,000\).
- Ayo's share = \(\frac{4}{7} \times 25,000 \approx \$14,285.71\).
- Olu's share = \(\frac{2}{7} \times 25,000 \approx \$7,142.86\).
- Victor's share = \(\frac{1}{7} \times 25,000 \approx \$3,571.43\).
Subtracting these from the updated capital balances:
- Ayo: \(15,500 - 14,285.71 = \$1,214.29\).
- Olu: \(9,833.33 - 7,142.86 = \$2,690.47\).
- Victor: \(6,666.67 - 3,571.43 = \$3,095.24\).
The total capital equals \(1,214.29 + 2,690.47 + 3,095.24 = \$7,000.00\).
Balance Sheet as at 1st January 1998 (Scenario b)
| \textbf{Capital} | | \textbf{Assets} | \) Ayo | 1,214.29 | Other Assets | 7,000.00 \) Olu | 2,690.47 | | \) Victor | 3,095.24 | | \) \textbf{Total} | \textbf{7,000.00} | \textbf{Total} | \textbf{7,000.00} \) |
Examples
In business accounting, goodwill represents the intangible value of a company, such as its reputation or brand name. When partners change their profit-sharing ratios, calculating the impact of goodwill ensures that each partner is fairly compensated for their historical contributions to the firm's growth. This ensures that the transition is transparent and that every partner's capital account reflects their rightful share of the firm's value under the new arrangement.