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    Ram and Sham share ₹720 in the ratio of 5:7 . When Hari joins them, then new ratio becomes 5:7:9 . Hari's contribution is
    Question

    Ram and Sham share ₹720 in the ratio of 5:7 . When Hari joins them, then new ratio becomes 5:7:9 . Hari's contribution is

    A.

    ₹ 600

    B.

    ₹480

    C.

    ₹ 540

    D.

    ₹ 500

    Correct option is C

    Given:
    Initial ratio of Ram and Sham = 5:7
    Total initial amount = ₹720
    Final ratio with Hari = 5:7:9
    Formula Used:
    Value of 1 ratio unit = Total AmountSum of Ratios\frac{Total\ Amount}{Sum\ of\ Ratios}​​
    Solution:
    Calculate the initial parts for Ram and Sham:
    Total parts = 5 + 7 = 12 parts
    12 parts = 720
    1 part = 72012=60 \frac{720}{12} = 60​​
    Since the ratio remains 5:7 for Ram and Sham, the value of one part remains unchanged when Hari joins.
    Hari's share is 9 parts.
    Hari's contribution = 9 × 60 = 540
    Final Answer
    So the correct answer is (c)

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