Question
Download Solution PDFComprehension
Directions: These questions are based on the 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 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.
What is the respective ratio between the number of boys and girls speaking both the language?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total students = 400
Boys = 150
Girls = 250
Calculation:
12% of boys speak only Hindi → 12% of 150 = 18 boys
Boys speaking both languages = 6 × 18 = 108 boys
Total only Hindi speakers = 24% of 400 = 96
Girls speaking only Hindi = 96 − 18 = 78 girls
Total students speaking only Hindi = 96
Total boys speaking only Hindi = 18
∴ Girls speaking only Hindi = 78
Let total girls speaking both be = x
Total boys speaking both = 108
Now, find girls speaking both languages:
We know:
Girls = 250
Girls speaking only English = 22% of 250 = 55
Girls speaking only Hindi = 78
∴ Girls speaking both = 250 − 55 − 78 = 117 girls
Required Ratio:
Boys : Girls speaking both languages = 108 : 117
Simplify: 108 ÷ 9 = 12, 117 ÷ 9 = 13
⇒ 12 : 13
Last updated on Jun 19, 2025
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