Inverse Proportion between two quantities Men and Days (WP No.12: Compound Proportion)

10 men have ration for 21 days in a camp. If 3 men leave the camp, for how many days will the ration be sufficient for the remaining men?

Solution: 

As given

Total men = 10 

The men leave the camp = 3 

The remaining men = 7 

We see that as the number of men decreases, the ration will be sufficient for more days (days increase). So it is an inverse proportion. 

Let the number of days be x

As it is a Inverse proportion. So the arrows will be drawn in the opposite direction.

Now the the proportion will be 

  7 : 10  :: 21 :  X 

As we know that the product of mean is equal to product of extreme of a proportion we have

 10 ｘ 21  = 7 ｘ  X 

or

 X   =  `\frac{10 ｘ 21}{7}`

by simplifying 

 X   =  30 days

Thus, the Food (Ration) will be sufficient for 30 days

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