Question 2 of 17beginner🔧 ApplyNumerical3 marks

A school library has books in different languages in the following ratio — no. of Odiya books: no. of Hindi books: no. of English books :: 3 : 2 : 1. If the library has 288 Odiya books, how many Hindi and English books does it have?

Correct Answer

Given: Ratio of Odiya : Hindi : English books = 3 : 2 : 1 Odiya books = 288

Step 1: Odiya books = 3 parts = 288 books

Step 2: Find value of one part: 288 ÷ 3 = 96 books

Step 3: Hindi books = 2×962 \times 96 = 192 books

Step 4: English books = 1×961 \times 96 = 96 books

Answer: The library has 192 Hindi books and 96 English books.

Exercise: Figure it Out (Section 1) | Q: 2 | (Page Page 6)
For More Understanding

Explanation

The chapter demonstrates finding quantities when one part of a ratio is known. Odiya books correspond to 3 parts which equals 288 books. One part equals 288÷3=96 books. Hindi books (2 parts) = 2×962 \times 96=192, English books (1 part) = 1×961 \times 96=96.

Solution Steps

  1. Step 1: Odiya books = 3 parts = 288 books

  2. Step 2: Find value of one part: 288 ÷ 3 = 96 books

  3. Step 3: Hindi books = 2×962 \times 96 = 192 books

  4. Step 4: English books = 1×961 \times 96 = 96 books

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