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The ratio of the number of girls to boys in a school of 3240 students is 35:37. How many more girls should be admitted to make the ratio 1:1?
Question

The ratio of the number of girls to boys in a school of 3240 students is 35:37. How many more girls should be admitted to make the ratio 1:1?

A.

90

B.

100

C.

70

D.

80

Correct option is A


Ans. (a)
Sol. Let the number of girls be G and the number of boys be B.
From the given ratio, G / B = 35 / 37 Let the total number of girls be G = (35/72) × 3240 = 1575. Let the total number of boys be B = (37/72) × 3240 = 1665.
Now, to make the ratio of girls to boys 1:1, the number of girls should be equal to the number of boys. So, we need to increase the number of girls to 1665.
The number of girls to be admitted is: 1665 - 1575 = 90.
Therefore, 90 more girls should be admitted.

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