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In a hostel, food available for 300 students for 50 days. After 10 days 100 more students join the hostel for how many more days will the food last


1. 30 days
2. 45 days
3. 40 days
4. 38 days
5. None of these

1 Answer

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Best answer
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

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