In a hostel having 80 students, there are food provisions for 30 days. After 10 days some students left for their home and thus the food lasted for another 25 days. How many students left the hostel?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 16
The food left is a fixed quantity, so students × days stays the same: fewer students make it last longer.
After 10 days, the food left is enough for 80 students for \(30-10=20\) days: \(80\times20=1600\) student-days
The same food lasts 25 days for the students who stay: \(\frac{1600}{25}=64\) students
Students who left \(=80-64=16\)