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Q.Divya and Bholi were partners in a firm sharing profits and losses in the ratio of 3 : 1. On 1st April, 2024, their fixed capitals were ₹ 8,00,000 and ₹ 6,00,000 respectively. On 30th September, 2024, Bholi introduced ₹ 50,000 as additional capital. Partnership deed provided that interest on capital will be allowed @ 12% p.a. Interest on Bholi's capital for the year ended 31st March, 2025 was : (A) ₹ 78,000 (B) ₹ 75,000 (C) ₹ 72,000 (D) ₹ 3,000

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The interest on Bholi's capital for the year ended 31st March, 2025, is ₹75,000.

In a partnership firm, interest on capital is an allowance provided to partners for contributing capital to the business. It is typically calculated at a specified rate on the opening capital balance for the entire accounting period. However, if a partner introduces additional capital during the year, interest is calculated on this additional amount only for the period it remained in the business. This ensures fairness, as partners are compensated for the exact duration their capital was employed by the firm.

Interest on capital is considered an appropriation of profits, not a charge against profits. This means it is allowed only if there are sufficient profits; if profits are less than the total interest on capital, the interest is allowed only to the extent of profits, distributed in the ratio of capital. If there are losses, no interest on capital is allowed.

To calculate Bholi's interest on capital, we need to consider her initial capital and the additional capital introduced, along with the respective periods for which each amount was outstanding.

Solution

The interest on Bholi's capital for the year ended 31st March, 2025 is calculated as follows:

  1. Interest on Initial Capital:

    Bholi's initial fixed capital on 1st April, 2024, was ₹6,00,000. This capital remained in the business for the entire financial year (12 months).

    Interest = ₹6,00,000 ×\times 12% ×\times (12/12) = ₹72,000

  2. Interest on Additional Capital:

    Bholi introduced additional capital of ₹50,000 on 30th September, 2024. This means the additional capital was available to the firm from 1st October, 2024, until the end of the financial year, 31st March, 2025. This period is 6 months (October, November, December, January, February, March).

    Interest = ₹50,000 ×\times 12% ×\times (6/12) = ₹3,000

  3. Total Interest on Bholi's Capital:

    Total interest on Bholi's capital for the year is the sum of interest on her initial capital and interest on her additional capital.

    Total Interest = ₹72,000 + ₹3,000 = ₹75,000 …

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