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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?
Solution
| 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.
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