There are 45 students in a hostel. If the number of students increases by 5, the total expenses of the mess increase by ₹30 per day while the average daily expenditure per head diminishes by ₹2. Find the original total daily expenditure of the mess.
Answer & explanation
Correct answer: option 1
Let us consider that ,
Initially Average expenditure = a
Total expenditure = 45 × a = 45a
If the number of students increases by 5, the total expenses of the mess increase by ₹30 per day
New total expenditure = ( 45a + 30 )
new average expenditure = \(\frac{45a + 30}{50}\)
According to question,
\(\frac{45a + 30}{50}\) = ( a - 2 )
45a + 30 = 50a - 100
5a = 130
1a = 26
Original total expenditure = 45 x 26 = Rs. 1170