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Question
The stock of grain in a government warehouse lasts 30 days for 4000 people. How many days will it last for 6000 people?
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Solution
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 the number of people are in inverse proportion.
∴ 30 × 4000 = 6000 × x
⇒ x = `120000/6000`
⇒ x = 20 days
Hence, the stock of grain in a government warehouse lasts 20 days for 6000 people.
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