Question

In a class, the number of boys is more than the number of girls by 12% of the total strength. The ratio of boys to girls is

a)15:11 b)11:14 c)14:11 d)8:11

Answer 1

The ratio of boys to girls is 14:11.

Step-by-step explanation:

• Given: The no. of girls is less than boys by 12% of the total strength.
• To solve: The ratio of boys to girls.

   Solution:

• Let the total number of student’s be 100 and the number of boys be x.
• From the given statement, number of girl’s is x−12. [12% of 100]
• Total number of student’s is,  

           x + (x – 12) = 100.

           ∴ x=56.

• Therefore, the number of boy’s  = 56 and  the number of girl’s = 44.
• Hence, the ratio of boys to girls is = 56:44 = 14:11.