There are 90 students in a hostel. Due to new admissions, 30 new students join the mess and the daily expences of the mess increases by ₹560, while the average expenditure per head diminishes by ₹10. What was the original daily expenditure (in ₹) of the mess?

5,280

Average expenditure per head = A

After joining 30 new members ,

Total expenditure = 90A + 560

ATQ ,

90A + 560 = ( A - 10 ) × 120

90A + 560 = 120A - 1200

30A = 1760

A = \(\frac{1760}{30}\)

Total expenditure of 90 members = \(\frac{1760}{30}\) × 90 = Rs 5280