Multiple choice

A, B and C started a business by investing Rs. 55,000, Rs. 65,000 and Rs. 75,000, respectively. A was a working partner and got 20% of the profit as working allowance, the remaining being distributed in the proportion of their investments. If the money received by C was Rs. 27,000, what was the total profit?

  1. Rs. 85,500

  2. Rs. 87,750

  3. Rs. 76,850

  4. Rs. 70,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A gets 20% of the profit as a working allowance, leaving 80% to be shared in the ratio of investments (55:65:75 or 11:13:15). C's share is 15/39 of 80% of the total profit, which equals 27,000. Solving for total profit gives 27,000 * 39 / (15 * 0.8) = 87,750.

AI explanation

Let the total profit be P, so the remaining profit distributed is 80 percent of P, or 0.8P. Their investment ratio is 55000 : 65000 : 75000, simplifying to 11 : 13 : 15 for a total of 39 parts. C holds 15 parts, so C's profit from the investment distribution is (15/39) x 0.8P = (4/13)P. We are given C's total received amount is Rs. 27,000, so (4/13)P = 27000; solving this yields P = Rs. 87,750.

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