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    A sum of Rs. 53 is divided among A , B and C in such a way that a gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio o
    Question

    A sum of Rs. 53 is divided among A , B and C in such a way that a gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is:

    A.

    27 : 20 : 12

    B.

    27 : 17 : 09

    C.

    25 : 18 : 10

    D.

    None of these

    Correct option is C

    Given:
    Total sum = Rs. 53
    A gets Rs. 7 more than B
    B gets Rs. 8 more than C
    Solution:
    ​Let C's share = x
    Then, B's share = x + 8
    A's share = (x + 8) + 7 = x + 15
    Total: x + (x + 8) + (x + 15) = 53
    x + x + 8 + x + 15 = 53
    3x + 23 = 53
    3x = 30
    x = 10
    So, 
    C’s share = 10
    B’s share = 18
    A’s share = 25
    Ratio = A : B : C = 25 : 18 : 10
    Thus, the correct answer is (c).

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