Solve the following problems:

Food grains in a hostel lasts for 30 days for 10 persons. How long does it last for 25 persons?

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Solution

Let x be the number of days for which the grains will last for 25 people.

Ratio of days = 30: x

Ratio of persons = 10: 25

The quantities involved in the situation are in inverse proportion.

∴ x: 30 = 10: 25

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