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Q.Rahul, Sahil and Jatin were partners in a firm sharing profits and losses in the ratio of 4 : 3 : 2. Rahul died on 15th October, 2017. At that time, the capitals of Sahil and Jatin after all the adjustments were ₹ 3,56,000 and ₹ 2,44,000 respectively. Sahil and Jatin decided to adjust their capital according to their new profit sharing ratio by opening current accounts. Calculate the new capitals of Sahil and Jatin.

CBSECBSE Class XII Board 2020Subjective· 1mImportance★★★★★
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The new capitals of Sahil and Jatin, adjusted according to their new profit-sharing ratio of 3:2, will be ₹3,60,000 and ₹2,40,000 respectively.

When there is a change in the constitution of a partnership firm, such as the death or retirement of a partner, the remaining partners often decide to adjust their capital accounts. The primary reason for this adjustment is to ensure that their capital contributions are proportionate to their new profit-sharing ratio. This aligns their financial stake in the firm with their future entitlements to profits and losses, maintaining equity and a balanced financial structure for the continuing business.

The process typically involves determining the total capital of the reconstituted firm and then distributing this total capital among the continuing partners in their new profit-sharing ratio. Any difference between a partner's existing adjusted capital and their newly calculated proportionate capital is then adjusted, usually through their current accounts or by bringing in/withdrawing cash. In this specific question, the adjustment is to be made by opening current accounts.

Here are the calculations to determine the new capitals of Sahil and Jatin:


Working Notes

W.N. 1: Calculation of New Profit Sharing Ratio (NPSR)

The old profit-sharing ratio of Rahul, Sahil, and Jatin was 4 : 3 : 2.

Rahul dies. The remaining partners are Sahil and Jatin.

Unless otherwise specified, the continuing partners (Sahil and Jatin) will share profits in their existing ratio among themselves.

  • Old Ratio of Sahil : Jatin = 3 : 2
  • Total of their shares = 3+2=53 + 2 = 5
  • Sahil's new share = 35\frac{3}{5}
  • Jatin's new share = 25\frac{2}{5}

Therefore, the New Profit Sharing Ratio of Sahil and Jatin is 3 : 2.

W.N. 2: Calculation of Total Capital of the Reconstituted Firm

The question states that the capitals of Sahil and Jatin after all adjustments were ₹3,56,000 and ₹2,44,000 respectively. This combined capital represents the total capital of the firm after Rahul's death, which will now be re-distributed between Sahil and Jatin.

  • Sahil's Adjusted Capital = ₹3,56,000
  • Jatin's Adjusted Capital = ₹2,44,000
  • Total Capital of the Reconstituted Firm = Sahil's Capital + Jatin's Capital = ₹3,56,000 + ₹2,44,000 = ₹6,00,000

W.N. 3: Calculation of New Capitals for Sahil and Jatin

The total capital of the reconstituted firm (₹6,00,000) will now be distributed between Sahil and Jatin in their new profit-sharing ratio of 3 : 2.

  • Sahil's New Capital = Total Capital ×\times Sahil's New Share = ₹6,00,000 ×35\times \frac{3}{5} = ₹1,20,000 ×3\times 3 = ₹3,60,000 …

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