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Q.Read the following hypothetical situation and answer Questions No. 14 and 15 on the basis of the given information. Vivek and Nisha were partners in a firm sharing profits and losses in the ratio of 3 : 2. On 1st April, 2022, their capitals were ₹8,00,000 and ₹4,00,000 respectively. On 1st July, 2022, Vivek introduced additional capital of ₹2,00,000. During the year, Vivek's drawings were ₹40,000 while drawings of Nisha were ₹80,000. As per the partnership agreement, interest on capital is allowed @ 6% p.a., interest on drawings will be charged @ 5% p.a. The net profit for the year ended 31st March, 2023 amounted to ₹6,50,000. Interest on capital payable to Vivek will be : (A) ₹48,000 (B) ₹60,000 (C) ₹57,000 (D) ₹24,000

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Interest on capital payable to Vivek for the year ended 31st March, 2023 is ₹57,000.

Concept: Interest on Capital in Partnership

Interest on capital is an appropriation of profit, not a charge against profit. It is calculated on the capital balance at the beginning of the year, and when a partner introduces additional capital during the year, interest is computed proportionately for the period that capital remained in the firm.

The accounting treatment follows these principles:

  1. Time-based calculation: Interest is calculated for the actual period the capital was available to the firm.
  2. Rate: Applied as per the partnership agreement (here, 6% per annum).
  3. Additional capital: When introduced mid-year, interest is calculated from the date of introduction to the year-end.

The formula is:

Interest on Capital=Capital×Rate100×Period (months)12\text{Interest on Capital} = \text{Capital} \times \frac{\text{Rate}}{100} \times \frac{\text{Period (months)}}{12}

Solution

Vivek's capital position during the financial year 2022-23:

  • Opening capital (1st April, 2022): ₹8,00,000
  • Additional capital introduced (1st July, 2022): ₹2,00,000

The additional capital was introduced on 1st July, 2022, which means it remained in the firm for 9 months (from 1st July, 2022 to 31st March, 2023).

Working Note 1: Interest on Capital for Vivek

Interest is calculated in two parts:

Part A: Interest on opening capital

  • Capital: ₹8,00,000
  • Period: 12 months (full year)
  • Rate: 6% p.a.

Interest=8,00,000×6100×1212=₹48,000\text{Interest} = 8,00,000 \times \frac{6}{100} \times \frac{12}{12} = ₹48,000

Part B: Interest on additional capital

  • Capital: ₹2,00,000 …

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