- Calculate the initial goodwill distribution using the old profit-sharing ratio (3:2:1), adding these to existing capital balances for a total of \(\$32,000\).
- Under scenario (a), list the \(\$25,000\) goodwill as an asset, resulting in a balanced sheet of \(\$32,000\) on both sides.
- Under scenario (b), write off the goodwill using the new ratio (4:2:1), returning the capital to \(\$7,000\) and removing goodwill from the assets.
- Final capital balances for scenario (a): \(\boxed{Ayo: \$15,500; Olu: \$9,833.33; Victor: \$6,666.67}\); Scenario (b): \(\boxed{Ayo: \$1,214.29; Olu: \$2,690.47; Victor: \$3,095.24}\)
Explanation
- Calculating Adjusted Capital Balances after Goodwill Introduction
To determine the balance sheet as of 1st January 1998, we first identify the initial status. The partners—Ayo, Olu, and Victor—had capital balances of \(\$3,000\), \(\$1,500\), and \(\$2,500\) respectively, totaling \(\$7,000\). The assets are also \(\$7,000\). Upon the introduction of \(\$25,000\) in goodwill, this amount is allocated to the partners based on the old profit-sharing ratio (3:2:1). The shares are as follows:
- Ayo: \(\frac{3}{6} \times \$25,000 = \$12,500\)
- Olu: \(\frac{2}{6} \times \$25,000 = \$8,333.33\)
- Victor: \(\frac{1}{6} \times \$25,000 = \$4,166.67\)
The new capital balances are obtained by adding these shares to their original capital:
- Ayo: \(\$3,000 + \$12,500 = \$15,500\)
- Olu: \(\$1,500 + \$8,333.33 = \$9,833.33\)
- Victor: \(\$2,500 + \$4,166.67 = \$6,666.67\)
Total Capital = \(\$32,000\).
- Scenario (a): Goodwill account opened
Scenario (a): Goodwill account opened.
In this scenario, the \(\$25,000\) of goodwill is recorded as an asset on the balance sheet. The assets now consist of the original \(\$7,000\) plus the \(\$25,000\) in goodwill, totaling \(\$32,000\). The capital accounts match this total.
Balance Sheet as at 1st Jan 1998 (Scenario a):
- Assets: Goodwill (\(\$25,000\)) + Other Assets (\(\$7,000\)) = \(\$32,000\)
- Capital: Ayo (\(\$15,500\)) + Olu (\(\$9,833.33\)) + Victor (\(\$6,666.67\)) = \(\$32,000\)
- Scenario (b): Goodwill written off
Scenario (b): Goodwill written off.
In this scenario, the goodwill is written off immediately by debiting the partners' capital accounts in the new profit-sharing ratio (4:2:1).
- Total write-off = \(\$25,000\)
- Ayo: \(\frac{4}{7} \times \$25,000 \approx \$14,285.71\)
- Olu: \(\frac{2}{7} \times \$25,000 \approx \$7,142.86\)
- Victor: \(\frac{1}{7} \times \$25,000 \approx \$3,571.43\)
The final capital balances after write-off are:
- 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 returns to \(\$7,000\).
Balance Sheet as at 1st Jan 1998 (Scenario b):
- Assets: \(\$7,000\)
- Capital: Ayo (\(\$1,214.29\)) + Olu (\(\$2,690.47\)) + Victor (\(\$3,095.24\)) = \(\$7,000\)
Examples
In professional business partnerships, goodwill often represents the intangible value of a company's brand, customer loyalty, or reputation. When partners change their profit-sharing agreements, accounting for goodwill ensures that each partner's capital account reflects their fair contribution and stake in the business's accumulated value. This process of allocating and potentially writing off goodwill helps maintain transparency and accuracy in financial reporting during internal restructuring.