Multiple choice

There were 50 students in a hostel. If the number of students increases by 10, the expenses of the mess increase by Rs 180 while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?

  1. 1800

  2. 1600

  3. 1650

  4. 1200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let original average = x. Original total = 50x. New average = x-1. New total = 60(x-1). But new total = 50x + 180. So 60x - 60 = 50x + 180. Solving: 10x = 240, x = 24. Original expenditure = 50 × 24 = 1200.

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