Question

120 soldiers had groceries for 100 days. After 10 days, 20 soldiers were deputed to another post. For how many days will the remaining food last?

• A. 108
• B. 100
• C. 110
• D. 80

Answer 1

The correct option is A 108

Given 120 soldiers have groceries to last for 100 days.
20 soldiers leave after 10 days.
$\therefore$ number of days remaining = 90
Let 'x' be the number of days the food will last after 10 days and 20 soldiers leaving.
This is a case of inverse variation.
$\frac{120}{100}=\frac{x}{90}$
$\therefore$ x = $\frac{120\times 90}{100}$ = 108

Hence, the food will last for 108 days.