Question

In a college, the number of boys and girls are in the ratio 3:2. Among the boys, the numbers of those who have a beard and those who don’t are in the ratio 3:4. What is the ratio of the number of bearded boys to that of the girls?

• A. 9:14
• B. 7:8
• C. 13:5
• D. Cannot be determined

Answer 1

The correct option is A 9:14

Let, the number of boys = 21, then

The number of girls $\frac{21}{3}\times 2$=14

The numbers of boys, who have a beard = $\frac{21}{(3+4)}\times 3=9$

So, the required ratio = 9:14.