# 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 ?

Apr 3, 2015

The answer is: $25$ days.

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

So the total amount of food is:

$125 \cdot 36 \cdot k = 4500 k$ units of food

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

$125 \cdot 16 \cdot k = 2000 k$ units of food.

So there are $4500 k - 2000 k = 2500 k$ 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:

$100 \cdot k \cdot d = 2500 k$
$d = 25$

The remaining food would last for $25$ days.