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?

$11 \frac{1}{9}$%

Initial Number of students = 5400

Increased Number of students = 6075

According to question ,

required percentage = \(\frac{6075 - 5400}{6075}\) × 100

= \(\frac{675}{6075}\) × 100 

= 11\(\frac{1}{9}\)%