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 ?->(Show Answer!)

1. 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.Total how many boys speak Hindi?

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By: anil on 05 May 2019 01.34 am

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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