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    Question

    John and Jack entered into a partnership by

    contributing capital in the ratio of 8:14. After a certain period, Jack withdrew his investment completely. Three years after the partnership began, the ratio of profits between John and Jack was found to be 9:14. Based on this, determine the number of months Jack remained invested in the business.
    A 32 months Correct Answer Incorrect Answer
    B 30 months Correct Answer Incorrect Answer
    C 24 months Correct Answer Incorrect Answer
    D 28 months Correct Answer Incorrect Answer

    Solution

    Let the number of months for which Jack invested = 'y' months Number of months for which John invested = 3 X 12 = 36 months So, respective ratio of profit shares of John and Jack = (8 X 36):(14 X y) = 288:14y = 9:14 So, y = 288 ÷ 9 = 32

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