There are 90 students in a hostel. Due to new admissions, 30 new students joint the mess increases by Rs. 560, while the average expenditure per head diminishes by Rs. 10. What was the original daily expenditure (in Rs.) of the mess?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 5,280.
Let average expense per day be y
Total expense = 90y
After admission of more 10 students,
Total Expense becomes 90y + 560
Average Expense becomes y - 10
According to question,
120(y - 10) = 90y + 560
30y = 1760
90y = 5280
The original Expenditure = Rs. 5280