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Question

In a Fort, 300 soldiers had of food provision for 90 days. after 20, days 50 soldiers left the Fort. how long would the last at the same rate?

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Solution

Given: In a Fort, 300 soldiers had of food provision for 90 days.
After 20 days, 50 soldiers left the Fort, So, the remining soldiers 250 had the food for x days.
As soldiers increases the number of days for consuming the food decreases, it represents the indirect proportion.
So, 300250=x70 (Since, 9020=70 days)
x=300250×70
x=84 days.
So, 250 men can have food for 84 days.


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