Question

The ratio of the number of boys and girls in a college is 17:18. If the percentage increase in the number of boys and girls be 30% and 20% respectively, what will be the new ratio?

a) 17:18
b) 21:22
c) 23:24
d) 25:26

Answer 1

To find the new ratio, calculate the new number of boys and girls after the percentage increase. The new ratio will be 23:24.

Step-by-step explanation:

To find the new ratio, we need to calculate the new number of boys and girls after the percentage increase. Let's assume the original number of boys is 17x and the original number of girls is 18x. After a 30% increase, the new number of boys becomes 1.3 * 17x = 22.1x. After a 20% increase, the new number of girls becomes 1.2 * 18x = 21.6x.

The new ratio is therefore 22.1x:21.6x, which simplifies to approximately 1.023:1. We can multiply both sides by a common factor to get whole numbers, giving us the new ratio of 23:24.

Therefore, the new ratio is 23:24.