Question

In a Police camp there is provision of food for 125 police men for 36 days. After 16 days 25 police men were shifted to another place . How long the remaining food would last for the remaining policemen ?

Answer 1

The answer is: `25` days.

Lets say each policemen eats `k` amount of food in a day.

So the total amount of food is:

`125*36*k = 4500k` units of food

In `16` days, `125` policemen will consume

`125*16*k=2000k` units of food.

So there are `4500k-2000k=2500k` units of food left.

Since `25` policemen left the camp now there are `100` policemen.

Lets say the food will last for `d` days.

Still a policeman eats `k` amount of food in a day so:

`100*k*d = 2500k`
`d=25`

The remaining food would last for `25` days.