Question

A garison of 2200 men has provisions for 16 weeks
at the ratio of 45 grams per day per man. How many
men must leave so that the same provisions may
last for 24 weeks at 33 grams per day per man.
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Answer 1

Answer:

A garrison of 1400 men has provisions for 18 months at the rate of 396 gram per man per day. How many men should leave so that the same provision may last for 21 months at the rate of 432 gram per man per day?

Per day consumption by a man=396grams

There are 1400 men

So, per day consumption of 1400men =1400×396grams

Now the provision is for 18months

So consumption for 1400men for 18months=1400×18months×396grams—(1)

Let there are X men in the garrison for whom provision should last for 21months at the rate of 432grams per man per day.

So total consumption by X men for 21months at the given rate =X ×21months×432grams —-(2)

Since the provision is same

so from (1)&(2)

1400×18×396=X×21×432

X=1100,no. of men for whom provision will last for 21months at 432grams per man per day.

No. Of men should left=1400-1100=300