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    An amount of ₹440 is divided among three persons in the ratio of 7 : 17 : 16. The difference between the largest and the smallest shares (in ₹) i
    Question

    An amount of ₹440 is divided among three persons in the ratio of 7 : 17 : 16. The difference between the largest and the smallest shares (in ₹) in the distribution is:

    A.

    110

    B.

    84

    C.

    114

    D.

    127

    Correct option is A

    Given:

    Total amount = ₹440

    Ratio = 7 : 17 : 16

    Solution :

    Sum of ratios = 7 + 17 + 16 = 40

    1 part =44040=11 \frac{440}{40} = 11

    Shares:

    Smallest (7 parts) = 7 × 11 = 77

    Largest (17 parts) = 17 × 11=187

    Difference = 187 - 77 = 110
    The difference between largest and smallest shares = ₹110

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