A hostel had food provision for 300 students for a month. After 20 days, 50 students left the hostel. How long would the remaining food last? (1 month = 30 days)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12 days.
According to the given question,
Man days for which the food is available = 300 × 30
⇒ 9000
This means available food is enough for 1 student for 9000 days.
Food used by 300 students in 20 days = 300 × 20
1 man-day of food = 6000
Man days of food left = 9000 - 6000 = 3000
Total number of students left in hostel after 20 days = 300 - 50 = 250
The remaining food will be used by 250 students for = = 12 days.
Hence the remaining food will last for 12 days.