# Moderate Ratios & Proportion Solved QuestionAptitude Discussion

 Q. A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?
 ✖ A. 3500 ✔ B. 4000 ✖ C. 6000 ✖ D. None

Solution:
Option(B) is correct

Let there be $'x'$ men in the beginning so that after 15 days the food for them is left for 45 days.

After adding 500 men the food lasts for only 40 days.

Now $(x+500)$ men can have the same food for 40 days.

Therefore by equating the amount of food we get,

$45x=(x+500)\times 40$

$5x=20,000$

$x=4000$

Therefore there are 4,000 men in the fort.

## (1) Comment(s)

Asfandyar
()

I think the answer is (D). x is the initial no. of men. Total men at the fort is (x+500), hence 4500.