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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.
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
Number of boys speaking Hindi = only Hindi + both languages = 18 + 108 = 126
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