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    Question

    Alex and Ben entered into a partnership, initially

    investing in the ratio of 9:7. After 6 months, Curry joined the partnership with an investment 28.56% less than Ben's. After a few more months, Alex exited, and Dev joined with an investment (100/9)% less than Alex's. After two years, Ben claimed a share of (21/58) of the total profit. What will be the investment time of Dev.
    A 20 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let Alex invests for a months so Alex    :     Ben    :      Curry     :      Dev 9a   :     7 × 24   :  5 × 18   :   8 (24 – a) [168/(450 + a)] = (21/58) 9744 = 9450 + 21a 294 = 21a a = 14 So Alex invests for 14 months and D invests for (24-14) = 10 months

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