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    An amount of ₹968 is divided among three persons in the ratio of 16 : 13 : 15. The difference between the largest and the smallest shares (in ₹)
    Question

    An amount of ₹968 is divided among three persons in the ratio of 16 : 13 : 15. The difference between the largest and the smallest shares (in ₹) in the distribution is:

    A.

    66

    B.

    20

    C.

    28

    D.

    85

    Correct option is A

    Given:​

    An amount of ₹968 is divided among three persons in the ratio of 16:13:15.

    Solution:

    The sum of the parts in the ratio = 16 + 13 + 15 = 44

    The share of each part is:

    96844\frac{968}{44} ​= 22

    The shares of the three persons are:

    First person (16 parts): 16 × 22 = 352

    Second person (13 parts): 13 × 22 = 286

    Third person (15 parts): 15 × 22 = 330

    The difference between the largest and smallest shares is:

    352 - 286 = 66

    So, the difference between the largest and the smallest shares is ₹66.

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