Multiple choice

A invests ₹6,000 in a business for 8 months, and B invests ₹9,000 for 12 months. If the total profit at the end of the year is ₹3,000, find A's share.

  1. ₹923.08

  2. ₹933.07

  3. ₹813.06

  4. ₹863.02

  5. ₹683.05
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A Correct answer
Explanation

A's effective investment = 6000 * 8 = 48000. B's effective investment = 9000 * 12 = 108000. Ratio = 48000 : 108000 = 48 : 108 = 4 : 9. A's share = (4 / 13) * 3000 = 12000 / 13 = 923.0769.

AI explanation

By the simple partnership rule, the profit ratio equals the ratio of the product of investment and time. The ratio for A to B is (6000 x 8) : (9000 x 12), which simplifies to 48000 : 108000 and then to 4 : 9. The total profit of Rs. 3000 is divided into 13 parts, so A receives 4/13 of the total. A's share is (4/13) x 3000 = 12000/13, which is approximately Rs. 923.08.

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