A group of people has provisions for 29 days for 24 men. If after 4 days 1/6 of them desert, then food will last for?
- 32 days
- 25 days
- 30 days
- None of these
Explanation
Given:
Food for 24 men = 29 days
So, total food = 24 × 29 = 696 man-days (means food for 696 men for 1 day).
They eat for 4 days first:
In 4 days, 24 men eat = 24 × 4 = 96 man-days of food.
Remaining food = 696 − 96 = 600 man-days.
Now, 1/6 of 24 men leave → 24 × (1/6) = 4 men leave.
Remaining men = 24 − 4 = 20 men.
Now 600 man-days of food for 20 men → 600 ÷ 20 = 30 days.
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