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    The ratio of the money with Geeta and Radha is 7 : 15 and that of the money with Radha and Savitha is 7 : 16. If Geeta has ₹980, how much money does S
    Question

    The ratio of the money with Geeta and Radha is 7 : 15 and that of the money with Radha and Savitha is 7 : 16. If Geeta has ₹980, how much money does Savitha have?

    A.

    2,400

    B.

    2,100

    C.

    9,800

    D.

    4,800

    Correct option is D

    Given:
    Ratio of money with Geeta : Radha = 7 : 15
    Ratio of money with Radha : Savitha = 7 : 16
    Geeta has ₹980
    Solution:
    Geeta : Radha = 7 : 15
    Radha : Savitha = 7 : 16
    To combine, take LCM of Radha’s ratio values = LCM(15, 7) = 105.
    Multiply first ratio (7 : 15) by 7 → Geeta : Radha = 49 : 105
    Multiply second ratio (7 : 16) by 15 → Radha : Savitha = 105 : 240
    Now combined ratio = Geeta : Radha : Savitha = 49 : 105 : 240
    49 units = 980
    So, 1 unit = 980 ÷ 49 = 20
    Savitha’s money = 240 × 20 = ₹4800 
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