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    Question

    The average daily income of 7 men, 11 women and 2 boys

    is Rs.257.50. If the average daily income of the men is Rs.10 more than that of women and the average daily income of the women is Rs.10 more than that of boys, the average daily income of a man is
    A Rs.277.5 Correct Answer Incorrect Answer
    B Rs.250 Correct Answer Incorrect Answer
    C Rs.265 Correct Answer Incorrect Answer
    D Rs.257 Correct Answer Incorrect Answer

    Solution

    given the average income of 7men,11 women and 2 boys is 257.5 let the amount of men be M women be W and boys be B so 7M+11W+2B/7+11+2=257.5 so 7M+11W+2B=20*257.5 7M+11W+2B=5150 given that avg daily income of men =10+W----1 W=10+B-----2 M+20+B------3 we need to find the average income of men so convert equation 1,2,3 in form subjective to M so, now the average is 7M+11(M-10)+2(M-20)/20 7M+11M+-110+2M-40=5150 20M-150=5150 20M=5300 M=265

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