The number of students in a hostel increases from 5400 to 6075. By what percentage should the hostel reduce the per-head consumption of food, so that the expenditure on food does not increase?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 11%
Let's assume the initial per head consumption of food is 'y'.
When students increased in the hostel, then the percentage reduction of the per head consumption of food is 'z'%.
The number of students in a hostel increases from 5400 to 6075. but the expenditure on food should not increase.
5400y = 6075 × y × (100 - z)
8 = 9 × (100 - z)
8/9 = (100 - z)/100
800/9 = (100 - z)
z = (100 - 800/9)
z = (900 - 800)/9
z = 100/9
z= 11