Multiple choice

M, P and Q together started a business. M invested Rs. 6,500 for 6 months, P invested Rs. 8,400 for 5 months, and Q invested Rs. 10,000 for 3 months. M is working member for which he gets 5% of total profit extra and rest profit divided in ratio of their invested capitals. If the total profit is Rs. 7400, then find Q's share?

  1. Rs. 1900

  2. Rs. 2,100

  3. Rs. 3,200

  4. Rs. 3,600
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A Correct answer
Explanation

M's effective investment = 6500*6 = 39000. P's = 8400*5 = 42000. Q's = 10000*3 = 30000. Ratio = 39:42:30 = 13:14:10. M gets 5% of 7400 = 370. Remaining profit = 7030. Q's share = (10/37) * 7030 = 10 * 190 = 1900.

AI explanation

First, subtract M's working commission from the total profit to find the divisible profit, which is 7400 - (0.05 * 7400) = 7030. Calculate the effective capital for each person by multiplying their investment by the time period: M is 6500 * 6 = 39000, P is 8400 * 5 = 42000, and Q is 10000 * 3 = 30000, giving an investment ratio of 13 to 14 to 10. The total parts in the ratio equals 37, so Q's share of the divisible profit is (10 / 37) * 7030, which equals 1900.

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