Question

The stock of grain in a government warehouse lasts 30 days for 4000 people. How many days will it last for 6000 people ?

Answer 1

Let us suppose the stock of grain in a government warehouse lasts x days for 6000 people.
As the number of people increases, the number of days decreases.
So, the number of days and number of people are in inverse proportion.
∴ 30 × 4000 = 6000 × x
$\Rightarrow x=\frac{120000}{6000}$
⇒ x = 20 days
Hence, the stock of grain in a government warehouse lasts 20 days for 6000 people.