During a school excursion each student of junior school was charged Rs. 325 and each student of senior school was charged Rs. 400. If there were 80 students from junior school and the combined average amount charged per student was Rs. 352, then how many students from senior school went for the excursion?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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  1. 55
  2. 45
  3. 50
  4. 40

Answer (Detailed Solution Below)

Option 2 : 45
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Calculation

Let the number of students in senior school be a.

The total amount charged from students of junior school = 325 × 80

⇒ 26000

The total amount charged from students of senior  school = 400 × a

⇒ 400a

The total amount charged from both the schools = (a + 80) × 352

⇒ (a + 80) × 352 = 2600 + 400a

 400a - 352a = 28160 - 26000

 48a = 2160 

⇒ a = 45.

The number of students from the senior school who went on the excursion is 45.

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