Correct Answer - Option 1 : 30 days
Given:
Food is available for 300 students for 50 days.
Calculation:
Man days for which food is available = 300 × 50
⇒ 15000
Available food is enough for 1 student for 15000 days
Food used by 300 students in 10 days = 300 × 10
1 man-day of food = 3000
Man days of food left = 15000 – 3000 = 12000 man-days of food
Total number of students now = 300 + 100 = 400
The remaining food can be used for 400 students for = 12000/400
⇒ 30 days
∴ The food remains last in 30 days