Direction: These questions are based on following data. Study it carefully and answer the questions that follow. In a school having 400 students, boys and girls are in the ratio of 3 : 5. 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 6 times the number of boys speaking only Hindi.
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How many boys speak Hindi?
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- 18
- 126
- 108
- 26
- None of these
Correct Option: B
Given : -
According to question ,
Total number of students in school = 400 students
Ratio of boys and girls in school = 3 : 5
Let us assume the ration is P.
Number of boys = 3P
Number of girls = 5P
3P + 5P = 400
8P = 400
P = 50
Number of boys = 3P = 3 x 50 =150
Number of girls = 5P = 5 x 50 = 250
% of the boys speak only Hindi = 12%
According to question ,
The total number of boys speaking Hindi
= 12% × Number of boys + six times the number of boys speaking only Hindi
⇒18 + 108 = 126