The ratio of boys and girls in a college was 4 : 5. New students admitted and the number of boys went up by 50% and the number of girls went up by 60%. What is the new ratio of boys and girls in the college?

The ratio of boys and girls in a college was 4 : 5. New students admitted and the number of boys went up by 50% and the number of girls went up by 60%. What is the new ratio of boys and girls in the college? Correct Answer 3 : 4

Given:

The ratio of boys and girls in a college was 4 : 5. New students admitted and the number of boys went up by 50% and the number of girls went up by 60%

Calculation:

Let the number of boys and girls initially be 4x and 5x.

Hence, after new students admitted, number of boys = 4x × 150% = 6x

And, number of girls = 5x × 160% = 8x

New ratio of boys and girls = 6x : 8x = 3 : 4

∴ the correct answer is 3 : 4.

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