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    Two sums of money are proportional to 5 : 9. If the first sum is 55, then the second sum is:
    Question

    Two sums of money are proportional to 5 : 9. If the first sum is 55, then the second sum is:

    A.

    99

    B.

    77

    C.

    88

    D.

    85

    Correct option is A

    Given:

    Two sums are in proportion = 5 : 9

    First sum = 55

    Solution:

    Let the sums be 5x5x​ and 9x9x​​

    According to question:

    5x=555x =55​​

    x=11x=11​​

    Second sum is 9x=9×11=999x = 9 \times 11 = \bf 99​​

    Alternative Method:

    Sums are in proportion = 5 : 9

    Other sum is =555×9=99\frac{55}{5}\times 9 = \bf 99​​

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