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Q.Vidit and Seema were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their capitals were ₹ 1,20,000 and ₹ 2,40,000, respectively. They were entitled to interest on capitals @ 10% p.a. The firm earned a profit of ₹ 18,000 during the year. The interest on Vidit’s capital will be : (A) ₹ 12,000 (B) ₹ 10,800 (C) ₹ 7,200 (D) ₹ 6,000

CBSECBSE Class XII Board 2020MCQ· 1mImportance★★★★★
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The firm's profit of ₹18,000 is less than the total interest on capital of ₹36,000, so interest is allowed only to the extent of the profit and is distributed in the ratio of interest on capital (1 : 2). Vidit's interest on capital = ₹6,000 — option (D).

The concept tested here is the treatment of interest on capital when the profit is less than the total interest due. Interest on capital is an appropriation of profit, not a charge against it. It is therefore allowed only out of available profits; if the profit is insufficient, the interest actually allowed is limited to the profit, and that profit is distributed among the partners in the ratio of the interest on capital each partner is entitled to.

Step 1: Interest on capital due to each partner @ 10% p.a.

  • Vidit: ₹1,20,000 × 10/100 = ₹12,000
  • Seema: ₹2,40,000 × 10/100 = ₹24,000
  • Total interest due = ₹12,000 + ₹24,000 = ₹36,000

Step 2: Compare with the profit.

Profit for the year = ₹18,000, which is less than ₹36,000. So full interest cannot be allowed; only ₹18,000 is available for distribution as interest on capital.

Step 3: Distribute the available profit in the ratio of interest on capital. …

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