Question

A flood relief camp has food stock by which 80 people can be benefited for 60 days. After 10 days 20 more people have joined the camp. Calculate the number of days of food shortage due to the addition of 20 more people?

Answer 1

	Number of people	Food stock for number of days
Initially	80	60
Available food after 10 days	80	60 − 10 = 50
If 20 people joined no. of days remaining food last	80 + 2 = 100	x

As number of people increases food last for less number of days.

80 × 50 = 100 × x

x =  `(80 xx 50)/100`

x = 40

Remaining food is to be used for 50 days.

But it only last for 40 days.

No. of days shortage = 50 – 40 = 10 days.

∴ 10 days of food shortage due to the addition of 20 more people.