The number of books on Mathematics, Physics and Chemistry in a University library is in the ratio 8 ∶ 5  9. There is a proposal to increase these books by 10%, 5% and 5% respectively. What will be the ratio of the number of books after increment?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 212 ∶ 117 ∶ 47
  2. 37 ∶ 47 ∶ 83
  3. 176  105 ∶ 189
  4. 189 ∶ 115 ∶ 117

Answer (Detailed Solution Below)

Option 3 : 176  105 ∶ 189
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Detailed Solution

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Given:

The number of books on Mathematics, Physics and Chemistry in a University library is in the ratio 8 ∶ 5  9.

Calculation:

Let the number of books be 8a, 5a and 9a

New ratio = 8a × 110% : 5a × 105% : 9a × 105%

⇒ 8a × 22 : 5a × 21 : 9a × 21

⇒ 176 : 105 : 189

∴ The ratio of the number of books after the increment is 176 : 105 : 189.

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