120 men had provision for 200 days. After 5 days, 30 men died due to an epidemic. How long will the remaining food last?

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Solution

Provision available for 120 men for 200 days .

total provision can be consumed by 1 man = 120 × 200 = 24000 days .

Since , after 5 days 30 men died

Total provision consumed in 5 days= 120 × 5 = 600 men days

total provision left = 24000 - 600 = 23400 men days

Persons left after 5days = 120 - 30 = 90 men

No of days it can last for remaining people = 23400/90 = 260 days

Thus, the remaining provision will last for 260 days

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