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The boys and girls in a school are in the ratio 9: 5. If the number of girls is 320, then what is the total strength of the school?

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840

896

920

576

answer is B.

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Detailed Solution

Given that,
Ratio of boys and girls in a school is 9: 5.
Number of girls is 320.
Let the ratio of boys be 9x, for girls it is 5x.
Strength of girls

⇒ 5 x = 320

⇒ x = 64

.
Total strength,

⇒ 9 x + 5 x

⇒ 14 x

⇒ 14 × 64 ⇒ 896

Thus, the total strength of the school will be 896.
Thus, option 2 is correct.

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