In a fort 120 men had provisions for 30 days for now many day in the food sufficient for 100 men?

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Question

In a fort 120 men had provisions for 30 days for now many day in
the food sufficient for 100 men?

Varun.Rawat · Accepted Answer

It is given that food lasts for 30 days for 120 men
Let the number of days for which the food lasts for 100 men = x

Number of men
120
100

number of days
30
x

Clearly it is the case of indirect proportion

So, 120 × 30 = 100 × x⇒x = 3600100 = 36So, for 100 men the food is sufficient for 36 days