The seats for Mathematics, English and Chemistry in a school are in the ratio of 6 ∶ 4 ∶ 7. If these seats are increased by 20%, 40% and 60%, respectively, the ratio of the increased seats is: 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 9 ∶ 7 ∶ 8
  2. 9 ∶ 7 ∶ 14
  3. 1 ∶ 2 ∶ 3
  4. 7 ∶ 9 ∶ 14

Answer (Detailed Solution Below)

Option 2 : 9 ∶ 7 ∶ 14
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Detailed Solution

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Given : 

Seats for Mathematics, English and Chemistry in a school are in the ratio of 6 ∶ 4 ∶ 7.

Seats are increased by 20%, 40% and 60%.

Calculation : 

Let the seats for Mathematics, English and Chemistry are 600, 400, 700.

Seats are increased by 20%, 40% and 60%.

⇒ 600 × 120/100 : 400 × 140/100 : 700 × 160/100

⇒ 600 × 120 : 400 × 140 : 700 × 160

⇒ 72000 : 56000 : 112000

⇒ 72 : 56 : 112

⇒ 9 : 7 : 14

∴ The correct answer is 9 : 7 : 14.

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