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Q.Read the following hypothetical situation and answer the question on the basis of the given information. Abha and Babita were partners in a clay toy making firm sharing profits in the ratio of 2 : 1. On 1st April, 2023, their capital accounts showed balances of ₹5,00,000 and ₹10,00,000 respectively. The partnership deed provides for interest on capital @ 10% p.a. The firm earned a profit of ₹90,000 during the year. Babita's share in profit will be : (A) ₹60,000 (B) ₹30,000 (C) Nil (D) ₹1,00,000

CBSECBSE Class XII Board 2024MCQ· 1mImportance★★★★★
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Babita's share in profit is Nil because the firm's profit of ₹90,000 is insufficient to cover the interest on capital (₹1,50,000), leaving no distributable profit.

Concept: Appropriation of Profit and Interest on Capital

In partnership accounting, interest on capital is an appropriation of profit, not a charge against profit (unless the deed explicitly states otherwise). This means interest is paid out of the available profit. The treatment follows a strict sequence:

  1. Calculate interest on capital for all partners.
  2. Check if the profit is sufficient to pay the full interest.
  3. If profit < total interest, distribute the available profit as interest in the capital ratio (or as per deed), and no profit remains for sharing in the profit-sharing ratio.
  4. If profit > total interest, pay full interest, then distribute the remaining profit in the profit-sharing ratio.

The partnership deed here provides for 10% p.a. interest on capital. Abha's capital is ₹5,00,000 and Babita's is ₹10,00,000. The profit-sharing ratio is 2:1 (Abha:Babita).

Solution

Working Note 1: Interest on Capital

PartnerCapital (₹)RateInterest (₹)
Abha5,00,00010%50,000
Babita10,00,00010%1,00,000
Total1,50,000

Working Note 2: Distribution of Profit

Available profit = ₹90,000

Total interest on capital = ₹1,50,000

Since the profit (₹90,000) is less than the total interest on capital (₹1,50,000), the entire profit will be distributed as interest on capital in proportion to the interest due (or in the capital ratio, which is the same here: 5:10 = 1:2).

Proportion of interest:

  • Abha: 50,0001,50,000×90,000=30,000\frac{50,000}{1,50,000} \times 90,000 = 30,000
  • Babita: 1,00,0001,50,000×90,000=60,000\frac{1,00,000}{1,50,000} \times 90,000 = 60,000

Total distributed = ₹90,000 (exhausts the profit)

Profit available for distribution in profit-sharing ratio = ₹90,000 − ₹90,000 = ₹0

Therefore:

  • Abha's share in profit (in 2:1 ratio) = ₹0
  • Babita's share in profit (in 2:1 ratio) = ₹0 …

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