CBSE Class 8 Mathematics Question 2 of 12

Proportional Reasoning 2 — Question 2

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2
Question
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?
Answer

Given, No. of Odiya books : No. of Hindi books : No. of English books :: 3 : 2 : 1 Let x be the total number of books. No. of Odiya books = \(\frac {3}{6}\) × x ⇒ 288 = \(\frac {3}{6}\) × x ⇒ x = 576 ∴ No. of Hindi books = \(\frac {2}{6}\) × 576 = 192 and no. of English books = \(\frac {1}{6}\) × 576 = 96