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Q.The capital accounts of Alka and Archana showed credit balances of ₹ 4,00,000 and ₹ 3,00,000 respectively, after taking into account drawings and net profit of ₹ 2,00,000. The drawings of the partners during the year 2018 – 19 were :

(i) Alka withdrew ₹ 10,000 at the end of each quarter.
(ii) Archana’s drawings were : | ₹ 31st May, 2018 | 8,000 1st November, 2018 | 7,000 1st February, 2019 | 5,000 Calculate interest on partners’ capitals @ 10% p.a. and interest on partners’ drawings @ 6% p.a. for the year ended 31st March, 2019.
CBSECBSE Class XII Board 2020Subjective· 4mImportance★★★★★
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Interest on Alka's Capital: ₹34,000; Interest on Archana's Capital: ₹22,000.

Interest on Alka's Drawings: ₹900; Interest on Archana's Drawings: ₹625.

When calculating interest on partners' capital and drawings, it is essential to understand the basis for each calculation.

Concept and Treatment

  1. Interest on Capital: This is an appropriation of profit, meaning it is allowed only if the firm earns sufficient profits. It is always calculated on the opening capital balance of the partners for the accounting period. If the capital balances provided are closing balances (i.e., after adjustments for drawings, share of profit, etc.), we must first determine the opening capital by reversing these adjustments. Drawings reduce capital, while a share of profit increases it. Therefore, to arrive at the opening capital from the closing capital, we add back drawings and subtract the share of profit.

    Watch out

    Interest on capital is never calculated on closing capital balances unless specifically stated that the capital remained fixed throughout the year and no adjustments were made. Always ensure you are using the opening capital.

  2. Interest on Drawings: This is a charge against the partners' capital, intended to discourage excessive withdrawals. It is calculated on the amount of money or goods withdrawn by partners during the year. The method of calculation depends on the pattern of drawings:

    • Regular Drawings: If a fixed amount is withdrawn at fixed intervals (e.g., beginning/middle/end of each month/quarter), an average period method can be used.
    • Irregular Drawings: If amounts and/or intervals are not fixed, the product method or simple interest method for each withdrawal is used. The period for which interest is charged is from the date of withdrawal to the end of the accounting period.
    Tip

    For irregular drawings, the product method simplifies calculations. Multiply each drawing amount by the number of months it remained outstanding (from the date of drawing to the end of the financial year). Sum these products and then apply the interest rate for one month.


Solution

We need to calculate the interest on capital and interest on drawings for Alka and Archana for the year ended 31st March 2019.

Working Note 1: Calculation of Opening Capital

The problem provides the closing capital balances (as on 31st March 2019) after taking into account drawings and net profit. To calculate interest on capital, we need the opening capital balances (as on 1st April 2018). We will reverse the effects of drawings and net profit.

The net profit for the year is ₹2,00,000. Since the problem does not specify a profit-sharing ratio, profits are assumed to be shared equally between partners as per the Indian Partnership Act, 1932.

  • Alka's Share of Profit = ₹2,00,000 / 2 = ₹1,00,000
  • Archana's Share of Profit = ₹2,00,000 / 2 = ₹1,00,000

Alka's Drawings: ₹10,000 at the end of each quarter.

Total Drawings = ₹10,000 ×\times 4 quarters = ₹40,000

Archana's Drawings:

  • ₹8,000 on 31st May 2018
  • ₹7,000 on 1st November 2018
  • ₹5,000 on 1st February 2019 Total Drawings = ₹8,000 + ₹7,000 + ₹5,000 = ₹20,000

The calculation for opening capital is as follows:

ParticularsAlka (₹)Archana (₹)
Closing Capital (as on 31st March 2019)4,00,0003,00,000
Add: Drawings during the year40,00020,000
Less: Share of Net Profit(1,00,000)(1,00,000)
Opening Capital (as on 1st April 2018)3,40,0002,20,000

Working Note 2: Calculation of Interest on Capital @ 10% p.a.

Interest on capital is calculated on the opening capital balances determined in Working Note 1.

  • Alka's Interest on Capital:

    ₹3,40,000 ×\times 10100\frac{10}{100} = ₹34,000

  • Archana's Interest on Capital:

    ₹2,20,000 ×\times 10100\frac{10}{100} = ₹22,000

Working Note 3: Calculation of Interest on Drawings - Alka @ 6% p.a.

Alka withdrew ₹10,000 at the end of each quarter. This is a case of regular drawings.

Total Drawings = ₹10,000 ×\times 4 = ₹40,000.

The accounting year ends on 31st March 2019.

The average period for calculating interest on drawings made at the end of each quarter is determined as: …

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