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    Question

    In a firm, P, Q, and R invested Rs. 1500, Rs. 1800 and Rs.

    2100 respectively. After 6 months, P withdrew Rs. 300, Q withdrew Rs. 800 and R withdrew Rs. 600. If P and Q together got Rs. 660 as profit, what was the share of R?
    A Rs.432 Correct Answer Incorrect Answer
    B Rs.440 Correct Answer Incorrect Answer
    C Rs.500 Correct Answer Incorrect Answer
    D Rs.665 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Profit ratio of P, Q, R

    = {(1500├Ч6) + (1200├Ч6)} : {(1800├Ч6) + (1000├Ч6)} : {(2100├Ч6) + (1500├Ч6)}

    = (9000 + 7200) : (10800 + 6000) : (12600 + 9000)

    = 16200 : 16800 : 21600

    = 27 : 28 : 36

    R's profit = 660 ├Ч (36 / (27 + 28)) = 660 ├Ч (36 / 55) = Rs. 432

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