Question

A fort had provisions for 600 men for 180 days. After 40 days, 100 men left the fort. How long will the food last at the same rate ?

• A. 168
• B. 186
• C. 618
• D. 681

Answer 1

The correct option is A 168

After 40 days , the food is sufficient for 600 men for $180-40=140$ days
After 40 days , 100 men left the fort.So Number of men in fort $600-100=500$ men.
For 600 men , the food will last 140 days
For 1 man , the food will last $=140\times 600$ days
For 500 men , the food will last $=\frac{140\times 600}{500}=168$ days