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?
Answer & explanation
Correct answer: option 2
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