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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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