Subject

    Quantitative Aptitude

    Topic

    Partnership

    Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

    ক)
    Rs. 1100
    খ)
    Rs. 500
    গ)
    Rs. 1200
    ঘ)
    Rs. 700

    Explanation

    Let the amounts to be received by P, Q and R be p, q and r. p + q + r = 1200 p = 1/2 (q + r) => 2p = q + r Adding 'p' both sides, 3p = p + q + r = 1200 => p = Rs.400 q = 1/3 (p + r) => 3q = p + r Adding 'q' both sides, 4q = p + q + r = 1200 => q = Rs.300 r = 1200 - (p + q) => r = Rs.500.

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