Quantitative Aptitude Ques 2317

Question: The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

Options:

A) 8 : 9

B) 17: 18

C) 21: 22

D) Cannot be determined

Show Answer

Answer:

Correct Answer: C

Solution:

  • Originally, let the number of boys and girls in the college be 7x and 8x, respectively. Their increased number is (120% of 7x) and (110% of 8x). i.e. $ ( \frac{120}{100}\times 7x ) $ and $ ( \frac{110}{100}\times 8x ) $ i.e. $ \frac{42x}{5} $ and $ \frac{44x}{5} $ Required ratio $ =\frac{42x}{5}:\frac{44x}{5}=21:22 $