Multiple choice

Sani, Bani and Rani enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, Sani withdraws half of his capital and after 10 months, a profit of Rs. 37,800 is divided among them. What is Bani's share?

  1. Rs. 12,600

  2. Rs. 14,400

  3. Rs. 10,800

  4. Rs. 15,600
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B Correct answer
AI explanation

Convert the initial investment ratio 1/2 : 1/3 : 1/4 to whole numbers by multiplying by 12, yielding 6 : 4 : 3. Sani's effective capital is 6 * 2 + 3 * 10 = 42, Bani's is 4 * 12 = 48, and Rani's is 3 * 12 = 36, making the profit ratio 42 : 48 : 36 or 7 : 8 : 6. Bani's share of the 37,800 profit is calculated as (8 / 21) * 37,800 = 14,400.

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