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    Question

    Two firms, X and Y, began a joint venture by investing

    in a ratio of 9:16. After six months, Firm Y withdrew its entire investment. At the end of the year, the profits were divided between X and Y in a ratio of 3:4. For how long did Firm X keep its investment in the venture?
    A 8 months Correct Answer Incorrect Answer
    B 10 months Correct Answer Incorrect Answer
    C 6 months Correct Answer Incorrect Answer
    D 9 months Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let company X invested the money for ‘a’ months, According to the question, (9 × a)/(16 × 6) = 3/4 4(9 × a) = 3(16 × 6) 36a = 288 a = 8 months Hence, option a.

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