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Test Your Understanding · Q1

Q.Rani and Suman are in partnership with fixed capitals of ₹80,000 and ₹60,000, respectively. During the year 2019-20, Rani withdrew ₹10,000 from her capital and Suman ₹15,000. Profits before charging interest on capital was ₹50,000. Rani and Suman shared profits in the ratio of 3:2. Calculate the amounts of interest on their capitals @ 12% p.a. for the year ended March 31, 2020.

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✓ Free question

When a withdrawal's exact date isn't given, the standard convention is to assume the midpoint of the year. Splitting each partner's capital into a pre-withdrawal and post-withdrawal half-year gives Rani ₹9,000 and Suman ₹6,300 interest.

Concept

Interest on capital is time-weighted: whenever the balance changes mid-year, the year must be split at that date. Where a problem states a withdrawal happened during the year but doesn't give the actual date, the standard textbook convention is to treat it as having happened at the year's midpoint (6 months in).

Solution

Rani (fixed capital ₹80,000, withdrew ₹10,000):

  • Apr–Sep (6 months) on ₹80,000: ₹80,000 × 12% × 6/12 = ₹4,800
  • Oct–Mar (6 months) on ₹70,000: ₹70,000 × 12% × 6/12 = ₹4,200
  • Total = ₹9,000

Suman (fixed capital ₹60,000, withdrew ₹15,000):

  • Apr–Sep (6 months) on ₹60,000: ₹60,000 × 12% × 6/12 = ₹3,600
  • Oct–Mar (6 months) on ₹45,000: ₹45,000 × 12% × 6/12 = ₹2,700
  • Total = ₹6,300

(The 3:2 profit-sharing ratio given in the question applies to the residual profit after this interest is deducted — it plays no part in the interest calculation itself.)

✓Final answer

Interest on capital for 2019-20: Rani ₹9,000, Suman ₹6,300.

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