There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?

  1. Rs. 640
  2. Rs. 630
  3. Rs. 620
  4. Rs. 580

Answer :

Ans : 630

There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?

Let expenditure per head per day originally was x and new expenditure per head is Rs y.
According to first condition
55y-42x=30 ….(i)
According to second condition
y=x-3 …….(ii)
Solving eqn. (i) and (ii), we get
x= Rs. 15
Therefore, original expenditure of the mess
=42 x 15
= Rs. 630
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