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    An amount of ₹905 is divided among three persons in the ratio of 9 : 10 : 16. The difference between the largest and the smallest shares (in ₹) i
    Question

    An amount of ₹905 is divided among three persons in the ratio of 9 : 10 : 16. The difference between the largest and the smallest shares (in ₹) in the distribution is:

    A.

    110

    B.

    181

    C.

    205

    D.

    274

    Correct option is B

    Given:

    An amount of ₹905 is divided among three persons in the ratio of 9:10:16.

    Solution:

    Total parts = 9 + 10 + 16 = 35

    Share of each part = 90535\frac{₹905 }{ 35}​ = ₹25.857

    Largest share = 16 × ₹25.857 = ₹413.714

    Smallest share = 9 × ₹25.857 = ₹232.714

    Difference = ₹413.714 - ₹232.714 = ₹181

    Thus, the difference between the largest and the smallest shares is ₹181.

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