Question
Sunil and Manoj started a business by investing Rs.
70,000 and Rs. 1,20,000, respectively. Manoj withdraws his investment after some time. If at the end of 3 years, the ratio of the profit share of Sunil to that of Manoj is 7:8, then find the time for which Manoj invested in the business.Solution
Let the time for which Manoj invested in the business be t months. The profit share is proportional to the product of investment and time. Profit ratio: (70000 × 36) : (120000 × t) = 7 : 8 Simplify the ratio: (70000 × 36) ÷ (120000 × t) = 7 ÷ 8 Cross-multiply: 70000 × 36 × 8 = 120000 × 7 × t Simplify: t = 24 So, Manoj invested for 24 months. Correct answer: b) 24 months
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