Multiple choice

P, Q and R started a business in which P invested Rs. 5000 for 2 years, Q invested Rs. 10,000 for 4 years and R invested Rs. 15,000 for 6 years. At the end of the 6th year, the profit received by them is Rs. 11,200. What is R's share in the profit?

  1. Rs. 6200

  2. Rs. 7200

  3. Rs. 5200

  4. Rs. 7500

  5. Rs. 8000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Calculate the effective investment for each person by multiplying the amount by the time: P = 5000 * 2 = 10000, Q = 10000 * 4 = 40000, R = 15000 * 6 = 90000. The ratio of their shares is 10000:40000:90000, which simplifies to 1:4:9. R's share is (9 / (1+4+9)) * 11200 = (9/14) * 11200 = 9 * 800 = 7200.

AI explanation

In a partnership, the profit sharing ratio is the product of the capital invested and the time period. The effective capital ratio is (5000 * 2) : (10000 * 4) : (15000 * 6), which equals 10000:40000:90000 and simplifies to 1:4:9. The sum of the ratio parts is 14, and the total profit is Rs. 11,200. R's share of the profit is (9/14) * 11200, which calculates to Rs. 7200.

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