Question

In a camp, food is stored for 1 month and for 1500 men. After 10 days, 500 men left the camp. How long did the entire food last?

• A. 45 days
• B. 50 days
• C. 40 days
• D. 35 days

Answer 1

The correct option is C

40 days

For 1500 men 30 days food is stored.
After 10 days, 500 men leave so the number of men remaining in the camp = 1000.
Remaining days = 30 - 10 = 20 days
It is a case of indirect proportion
Hence, the products of quantities are constant.
1500 $\times$ 20 = 1000 $\times$ x
x = 30

So, food will last on 30 + 10 = 40 days.