120 men had food provision for 200 days After 5 days 30 men died of an epidemic The food will last f...........

Quantitative Aptitiude (CLAT) Time and work

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120 men had food provision for 200 days. After 5 days, 30 men died of an epidemic. The food will last for further

280 days

260 days

290 days

252 days

Explanation:

The food provision is sufficient for 120*200 = 24000 man-days.
In 5 days the provision consumed by 120 men = 120*5 = 600 man-days.
Remaining provisions = 24000 - 600 = 23400 man-days.
Men remaining after 5 days = 120 - 30 = 90 men.
The remaining provisions will last the 90 another 23400 man-days/ 90 men = 260 days.