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A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?

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#### Solution

After 10 days :

For 450 soldiers, provision is sufficient for (40 – 10) days = 30 days

For 1 soldier, provision is sufficient for 30 × 450 days

For 540 soldiers, the provision is sufficient for

`=(30xx450)/540=(30xx50)/60=50/2` = 25 days

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