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 girls speak only Hindi?
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- 55
- 117
- 96
- 78
- None of these
Correct Option: D
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 students speak only Hindi = 24%
number of boys speak only Hindi = 18
According to question ,
The total number of girls speaking Hindi
= 24% × Total number of students - number of boys speak only Hindi
= 24% × 400 - 18
= 96 - 18 = 78
