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In a school library, there are 40% students who prefer Hindi Language books and 55% students prefer English books. There are 5% students who like both books. There are 150 students who didn’t like any of these language books. Find the approx. average number of students who choose only English language books and only Hindi language books.

In a school library, there are 40% students who prefer Hindi Language books and 55% students prefer English books. There are 5% students who like both books. There are 150 students who didn’t like any of these language books. Find the approx. average number of students who choose only English language books and only Hindi language books. Correct Answer 637

⇒ Average = sum of elements / number of elements

Given,

There are 40% students prefer Hindi Language books and 55% students prefer English books.

Percentage of students prefer Hindi language books = 40%

Percentage of students prefer English language books = 55%

Given, there are 5% students who like both books.

Percentage of students who likes only Hindi books = 40 - 5 = 35%

Percentage of students who likes only English books = 55 - 5 = 50%

Total number of students in a school library =

= number of students who likes only Hindi books + number of students who likes only English books + number of students who like both books + number of students who didn’t like any of these books

Let’s calculate this into percentage;

⇒ 100 = 35 + 50 + 5 + number of students who didn’t like any of these books

Number of students who didn’t like any of these books = 100 - 90 = 10%

Given,

There are 150 students who didn’t like any of these language books.

⇒ 150 = (10/100) × total number of students in school library

Total number of students in school library = 1500

⇒ Number of students who like only Hindi books = 1500 × (35/100) = 525

⇒ Number of students who like only English books = 1500 × (50/100) = 750

The average number of students who choose only English language books and only Hindi language books =

= (525 + 750)/2

= 637.2 ≈ 637

The approx. average number of students who choose only English language books and only Hindi language books is 637.

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