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A garrison of 700 men is provisioned for...

A garrison of 700 men is provisioned for 30 days at the rate of `2 1/2` kg per day per man. If 100 men had left the farrison, then the provisions would have lasted or x days at the rate of ` 3 1/2` kg per dya per man. Find the value of x . Choose the correct answer from the following options:

A

18

B

20

C

25

D

15

Text Solution

Verified by Experts

In both cases, the provisions are the same.
` 700 xx 30 xx 2 1/2`
` = (700 - 100) xx x xx 31/2`.
` rArr 700 xx 30 xx 5/2 = 600 xx x xx 7/2`
` :. ` x = 25.
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