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Question

Mathematics Question on Ratio and Proportion

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

A

11:14

B

14:11

C

25:28

D

28:25

Answer

14:11

Explanation

Solution

Let total strength of class = 100
Let number of boys be xx and number of girls be (100x)(100-x)
x(100x)=12100×100\rightarrow x−(100−x)=\frac{12}{100}\times100
2x100=12\rightarrow 2x−100=12
x=1122=56\rightarrow x=\frac{112}{2}=56
Therefore, Required ratio =5444=14:11\frac{54}{44}=14:11
The correct answer is (B) : 14:11