Multiple choice

A, B and C enter into a partnership by investing Rs. 3600, Rs. 4400 and Rs. 2800. A is a working partner and gets one-fourth of the profit for his services and the remaining profit is divided amongst the three in the ratio of their investments. What is the amount of profit that B gets, if A gets a total of Rs. 8000?

  1. Rs. 4888.88

  2. Rs. 9333.33

  3. Rs. 4000

  4. Rs. 3666.66
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A Correct answer
AI explanation

The profit ratio of A, B, and C is 3600:4400:2800, which simplifies to 9:11:7, making the sum of their ratio parts 27. Since A receives one-fourth of the total profit for his services, the remaining three-fourths is distributed among the partners; because A's total profit is Rs. 8000, the total profit must be calculated by equating A's share from the remaining profit plus his service commission. Let the total profit be P, so A's total share is (1/4)P + (3/4)P * (9/27) = 8000, which simplifies to (1/4)P + (1/4)P = 8000, meaning P = Rs. 16000. The remaining profit to be distributed is Rs. 12000, so B's share is (11/27) of 12000, which equals Rs. 4888.88.

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