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    An amount of ₹50 is divided among A, B and C such that A gets ₹5 more than B and B gets ₹9 more than C. What is the ratio of their shares?
    Question

    An amount of ₹50 is divided among A, B and C such that A gets ₹5 more than B and B gets ₹9 more than C. What is the ratio of their shares?

    A.

    13 : 24 : 13

    B.

    23 : 18 : 9

    C.

    23 : 14 : 13

    D.

    14 : 23 : 14

    Correct option is B

    Given:

    Total amount = ₹50
    A gets ₹5 more than B
    B gets ₹9 more than C

    Solution:
    Let C's share be x.
    Then B = x + 9, A = x + 9 + 5 = x + 14
    Total = A + B + C

    x + 14 + x + 9 + x = 50

    3x + 23 = 50

    3x = 27

    x = 9

    C = 9, B = 9 + 9 = 18, A = 9 + 14 = 23

    Ratio A : B : C = 23 : 18 : 9

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