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Test Your Understanding · Q2

Q.Priya and Kajal are partners in a firm, sharing profits and losses in the ratio of 5:3. The balance in their fixed capital accounts, on April 1, 2019 were: Priya, ₹6,00,000 and Kajal, ₹8,00,000. The profit of the firm for the year ended March 31, 2020 was ₹1,26,000. Calculate their shares of profits:

(a) when there was no agreement in respect of interest on capital, and
(b) when there is an agreement that the interest on capital will be allowed @ 12% p.a.
Yanam CbseNCERTSubjectiveImportance★★★★★
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Without an interest agreement, the ₹1,26,000 profit is simply split 5:3. With a 12% agreement, the interest actually due (₹1,68,000) exceeds the profit — so the whole ₹1,26,000 is paid out as interest, capped and split in the ratio of interest due (3:4), leaving nothing for a further profit-sharing split.

Solution — (a) No agreement on interest

The whole profit is shared in the profit-sharing ratio 5:3:

  • Priya: 5/8 × ₹1,26,000 = ₹78,750
  • Kajal: 3/8 × ₹1,26,000 = ₹47,250

Solution — (b) Interest on capital @ 12% p.a. agreed

Interest due:

  • Priya: 12% of ₹6,00,000 = ₹72,000
  • Kajal: 12% of ₹8,00,000 = ₹96,000
  • Total due = ₹1,68,000

The firm's profit (₹1,26,000) is less than the total interest due (₹1,68,000). By the profit-constraint rule, interest is restricted to the available profit and split in the ratio of interest due — 72,000 : 96,000 = 3 : 4.

  • Priya: 3/7 × ₹1,26,000 = ₹54,000 …

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