Question

In a fort, $600$ men had provisions for $180$ days. After $40$ days, $100$ men left the fort. For how many days does the remaining food last?

• A. $150days$
• B. $142days$
• C. $168days$
• D. $200days$

Answer 1

Answer: (C)

$168days$

After 40 days the remaining food is sufficient for $600$ men for $(180-40)days$

Remaining men $=600-100=500$

Men Days

$600$ $140$

$500$ $x$

Less men, provision will last for more days i.e. inverse proportion.

The food will be sufficient for $140\times \frac{600}{500}=168days$