Question

In a Fort, 300 soldiers had of food provision for 90 days. after 20, days 50 soldiers left the Fort. how long would the last at the same rate?

Answer 1

Given: In a Fort, $300$ soldiers had of food provision for 90 days.
After $20$ days, $50$ soldiers left the Fort, So, the remining soldiers $250$ had the food for $x$ days.
As soldiers increases the number of days for consuming the food decreases, it represents the indirect proportion.
So, $\frac{300}{250}=\frac{x}{70}$ (Since, $90-20=70$ days)
$\Rightarrow x=\frac{300}{250}\times 70$
$\therefore x=84$ days.
So, 250 men can have food for 84 days.