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    An amount of money is to be divided between A, B and C in the ratio of 5 : 2 : 8. If the difference between the shares of A and C is ₹7,740, then what
    Question

    An amount of money is to be divided between A, B and C in the ratio of 5 : 2 : 8. If the difference between the shares of A and C is ₹7,740, then what will be the total amount?

    A.

    ₹28,976

    B.

    ₹38,700

    C.

    ₹35,875

    D.

    ₹30,983

    Correct option is B

    Given:
    Ratio of A : B : C = 5 : 2 : 8
    Difference between A and C's shares = ₹7,740
    Solution:
    Let the A’s share = 5x , B's share = 2x and C’s share = 8x
    Difference = 7740
    8x - 5x = 7740
    3x = 7740
    x = 77403\frac {7740} 3​ = 2580
    Total amount = A + B + C = 5x + 2x + 8x = 15x
    Total = 15 × 2580 = ₹38,700

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