The ratio of the number of boys to that of the girls in a school is 11 ∶ 15. If there are 200 more girls than boys in the school, what is the number of boys in that school?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 4)
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  1. 550
  2. 750
  3. 506
  4. 605

Answer (Detailed Solution Below)

Option 1 : 550
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Detailed Solution

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Given

The ratio of the number of boys to that of girls in a school is 11 ∶ 15.

Calculation

Let the number of boys and girls in a school be 11a and 15a.

⇒ 15a - 11a = 200

⇒ 4a = 200

⇒ a = 50

⇒ 11a → 50 × 11 = 550

The number of boys in that school is 550.

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