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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. The amount of interest on capital allowed to Abha will be : (A) ₹50,000 (B) ₹1,00,000 (C) ₹60,000 (D) ₹30,000

CBSECBSE Class XII Board 2024MCQ· 1mImportance★★★★★
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When the total interest on capital entitlement exceeds the available profit, the profit is distributed among partners as interest on capital in the ratio of their individual interest entitlements. Abha will be allowed ₹30,000 as interest on capital.

In partnership accounting, it is crucial to distinguish between a 'charge against profit' and an 'appropriation of profit'. Interest on capital is generally an appropriation of profit, meaning it can only be provided if there are sufficient profits. It is not paid if the firm incurs a loss, or if the available profit is less than the total interest entitlement, unless the partnership deed explicitly states that interest on capital is a charge against profits (which is not the case here).

When the total amount of appropriations (like interest on capital, salary, commission) exceeds the available profit, the available profit is distributed among the partners in the ratio of their individual entitlements to that specific appropriation. It is not distributed in their general profit-sharing ratio. This ensures that the total appropriation does not exceed the profit available for distribution.

Let's calculate the full interest on capital entitlement for each partner and then see how the available profit is distributed.

Working Notes

  1. Calculation of Abha's full Interest on Capital entitlement:

    Abha's Capital = ₹5,00,000

    Rate of Interest on Capital = 10% p.a.

    Abha's Interest on Capital = ₹5,00,000 ×\times 10100\frac{10}{100} = ₹50,000

  2. Calculation of Babita's full Interest on Capital entitlement:

    Babita's Capital = ₹10,00,000

    Rate of Interest on Capital = 10% p.a.

    Babita's Interest on Capital = ₹10,00,000 ×\times 10100\frac{10}{100} = ₹1,00,000

  3. Total Interest on Capital entitlement:

    Total Interest = Abha's Interest + Babita's Interest

    Total Interest = ₹50,000 + ₹1,00,000 = ₹1,50,000

  4. Comparison with Available Profit:

    Available Profit for the year = ₹90,000

    Total Interest on Capital entitlement = ₹1,50,000

    Since the total interest on capital entitlement (₹1,50,000) is greater than the available profit (₹90,000), the interest on capital cannot be fully provided. The available profit of ₹90,000 will be distributed as interest on capital in the ratio of their individual entitlements.

  5. Ratio of Interest on Capital Entitlements:

    Abha's entitlement : Babita's entitlement

    ₹50,000 : ₹1,00,000

    This simplifies to 1 : 2

  6. Distribution of Available Profit as Interest on Capital:

    The available profit of ₹90,000 will be distributed between Abha and Babita in the ratio of 1:2.

    Abha's share of Interest on Capital = ₹90,000 ×\times 11+2\frac{1}{1+2} = ₹90,000 ×\times 13\frac{1}{3} = ₹30,000

    Babita's share of Interest on Capital = ₹90,000 ×\times 21+2\frac{2}{1+2} = ₹90,000 ×\times 23\frac{2}{3} = ₹60,000 …

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