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
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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