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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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