Question

$120$ men had food provision for $200$ days. After $5$ days, $30$ men died due to an epidemic. How long will the remaining food last?

Answer 1

$\begin{array}{ccc}\text{Number of men}& 120& 90\\ \text{Days food will last}& 200& x\end{array}$

there is a inverse relation between number of people and days.

Total provision for one day $=120\times 200=24,000$

After $5$ days, provision reduced by $=120\times 5=600$

So, left provision $=24,000-600=23,400$ men

After 5 days, men left $=120-30=90$

Food will last (days) for 90 men $=\frac{\text{Left Provision}}{\text{Number of men}}=\frac{23400}{90}=260$ days more