Instructions

These questions are based on the following data. Study it carefully and answer the question that follow-
In a school having 400 students boys and girls are in the ratio of 3 : 5 respectively. The students speak Hindi, English or both the languages. 12% of the boys speak only Hindi, 22% of the girls speak only English. 24% of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi.

Question 194

# Number of girls speaking only Hindi is what percent of the total number of students speaking only Hindi?

Solution

The ratio of boys to girls is 3:5

There are 400 candidates in total.

So, the number of boys = $$\frac{3}{8}*400$$ = 150

Number of girls = $$\frac{5}{8}*400$$ = 250

Number of the boys speaking only Hindi = 12% * 150 = 18

Number of girls speaking only English = 22% * 250 = 55

Number of total students speaking only Hindi = 24% * 400 = 96

So, number of girls speaking only Hindi = 96 - 18 = 78

Number of boys speaking both languages = 6 * 18 = 108

But the total number of boys = boys speaking only Hindi + Boys speaking both languages + boys speaking only English

So, 150 = 18 + 108 + x

So, boys speaking only English = 24

the total number of girls = girls speaking only Hindi + girls speaking both languages + girls speaking only English

250 = 78 + x + 55

So, girls speaking both languages = 117

The required percentage = 100* 78/96 = 81.25