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    Question

    A certain amount was divided among four people P, Q, R and S such that the amount obtained by S is 12.5% more than the amount obtained by Q. The amount obtained by P is one third of the amount obtained by S. The average of the amount obtained by R and Q is Rs. 27000. If the difference between the amount obtained by R and S is Rs. 7200, then find out the amount obtained by Q. (It is assumed that the amount is not in fractions or decimals.)

    A Rs. 32400 Correct Answer Incorrect Answer
    B Rs. 28800 Correct Answer Incorrect Answer
    C Rs. 24400 Correct Answer Incorrect Answer
    D Rs. 16200 Correct Answer Incorrect Answer
    E Rs. 10800 Correct Answer Incorrect Answer

    Solution

    The amount obtained by P is one third of the amount obtained by S.

    Let’s assume the amount obtained by S is ‘9a’.

    amount obtained by P = (1/3) of 9a = 3a

    The amount obtained by S is 12.5% more than the amount obtained by Q.

    9a = (100+12.5)% of the amount obtained by Q

    9a = 112.5% of the amount obtained by Q

    amount obtained by Q = 8a

    The average of the amount obtained by R and Q is Rs. 27000.

    Total amount obtained by R and Q = 27000x2 = 54000

    amount obtained by R + 8a = 54000

    amount obtained by R = (54000-8a)

    If the difference between the amount obtained by R and S is Rs. 7200.

    9a - (54000-8a) = 7200

    9a - 54000 + 8a = 7200

    9a + 8a = 7200+54000

    17a = 61200

    a = 3600

    (54000-8a) - 9a = 7200

    54000-7200 = 8a+9a

    17a = 46800 [This value of ‘a’ is not possible. Because it will give values in decimals.]

    So the amount obtained by Q = 8a = 8x3600 = Rs. 28800

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