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    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.
    A 18 months Correct Answer Incorrect Answer
    B 24 months Correct Answer Incorrect Answer
    C 30 months Correct Answer Incorrect Answer
    D 36 months Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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 ├Ч 36) : (120000 ├Ч t) = 7 : 8 Simplify the ratio: (70000 ├Ч 36) ├╖ (120000 ├Ч t) = 7 ├╖ 8 Cross-multiply: 70000 ├Ч 36 ├Ч 8 = 120000 ├Ч 7 ├Ч t Simplify: t = 24 So, Manoj invested for 24 months. Correct answer: b) 24 months

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