Multiple choice

A, B and C are partners in a business. A invests Rs. 8000 for 14 months, B invests Rs. 7000 for 8 months and C invests Rs. 12,000 for 6 months. They gain Rs. 18,000. By how much is A's share more than B's share?

  1. Rs. 6400

  2. Rs. 4000

  3. Rs. 4200

  4. Rs. 6500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio of investments: A = 8000*14 = 112000, B = 7000*8 = 56000, C = 12000*6 = 72000. Ratio A:B:C = 112:56:72 = 14:7:9. Total parts = 14+7+9 = 30. A's share = (14/30)*18000 = 8400. B's share = (7/30)*18000 = 4200. Difference = 8400 - 4200 = 4200.

AI explanation

Calculate the profit ratio by multiplying each partner's capital by their investment period: A is 8000 times 14, B is 7000 times 8 and C is 12000 times 6. This yields an effective investment ratio of 112000 to 56000 to 72000, which simplifies to 14 to 7 to 9. The total of 30 shares represents the 18000 gain, so one share equals 600. A's share exceeds B's by 7 shares, so the difference is 7 multiplied by 600, which is 4200.

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