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    An amount of Rs.62 is divided among A, B and C such that A gets Rs.12 more than B and B gets Rs.10 more than C. what is the ratio of their share?
    Question

    An amount of Rs.62 is divided among A, B and C such that A gets Rs.12 more than B and B gets Rs.10 more than C. what is the ratio of their share?

    A.

    8:3:2

    B.

    15:9:4

    C.

    16:10:5

    D.

    3:2:1

    Correct option is C

    Given:-

    A gets Rs. 12 more than B,
    B gets Rs. 10 more than C. 

    Solution:-

    C's share be x.

    Then, B's share = x + 10

    A's share = x + 10 + 12 = x + 22

    Total share = x + (x + 10) + (x + 22) = 3x + 32

    Given, 3x + 32 = 62

    => 3x = 30

    => x = 10

    So, A's share = 10 + 22 = 32
    B's share = 10 + 10 = 20
    C's share = 10

    Therefore, the ratio of their shares is 32:20:10, which simplifies to 16:10:5.


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