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Numerical Questions · Q1

Q.Aparna, Manisha and Sonia are partners sharing profits in the ratio of 3:2:1. Manisha retires and goodwill of the firm is valued at ₹1,80,000. Aparna and Sonia decided to share future profits in the ratio of 3:2. Record necessary journal entries.

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Manisha’s share of goodwill (₹60,000) is contributed by the continuing partners Aparna and Sonia in their gaining ratio of 3:7, resulting in a debit to Aparna’s capital (₹18,000) and Sonia’s capital (₹42,000), and a credit to Manisha’s capital (₹60,000).

When a partner retires, the continuing partners must compensate the retiring partner for her share of the firm’s goodwill. The key idea is that the retiring partner’s right to future profits is being bought out. The journal entry debits the gaining partners’ capital accounts (in their gaining ratio) and credits the retiring partner’s capital account. This adjustment does not affect the firm’s cash or goodwill account — it is a capital adjustment among partners.

First, find Manisha’s share of goodwill. The firm’s total goodwill is ₹1,80,000. Manisha’s profit share was 2/6 (since the old ratio is 3:2:1, total 6). So her share = ₹1,80,000 × 2/6 = ₹60,000.

Now determine the gaining ratio between Aparna and Sonia. The old ratio was 3:2:1. The new ratio between Aparna and Sonia is 3:2. To find the gain, subtract the old share from the new share for each continuing partner.

Aparna’s old share = 3/6. Her new share = 3/5. Gain = 3/5 – 3/6 = (18 – 15)/30 = 3/30 = 1/10.

Sonia’s old share = 1/6. Her new share = 2/5. Gain = 2/5 – 1/6 = (12 – 5)/30 = 7/30.

So the gaining ratio is Aparna : Sonia = 1/10 : 7/30 = 3 : 7 (multiply both by 30 to get 3:7).

Now, Manisha’s ₹60,000 goodwill is to be borne by Aparna and Sonia in this gaining ratio.

Aparna’s contribution = ₹60,000 × 3/10 = ₹18,000.

Sonia’s contribution = ₹60,000 × 7/10 = ₹42,000.

The journal entry is:

DateParticularsL.F.Debit (₹)Credit (₹)
Aparna’s Capital A/c Dr.18,000
Sonia’s Capital A/c Dr.42,000
To Manisha’s Capital A/c60,000
(Being Manisha’s share of goodwill adjusted in the gaining ratio of 3:7)
Watch out

A common mistake is to use the old ratio (3:2:1) or the new ratio (3:2) to distribute the goodwill. The correct basis is the gaining ratio — only the partners who gain from the retirement should compensate the retiring partner. Here, Aparna gains 1/10 and Sonia gains 7/30, giving 3:7.

Tip

To quickly check: the gaining ratio can also be found by comparing the old and new shares. If a partner’s new share is larger than her old share, she gains; if smaller, she sacrifices. Here both Aparna and Sonia gain (since Manisha’s share is fully taken over by them), so no one sacrifices.

✓Final answer

The journal entry debits Aparna’s capital by ₹18,000 and Sonia’s capital by ₹42,000, and credits Manisha’s capital by ₹60,000. This matches the official NCERT answer key.

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