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Question

# There is a provision of food for 50 days for 1000 soldiers in a fort. How many soldiers should leave after 15 days so that the remaining food last for 40 more days?

A

125

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B

875

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C

850

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D

1045

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Solution

## The correct option is A 125 After 15 days, provision lasts for (50 - 15) i.e. 35 days for 1000 soldiers. Let the food may last for 40 days for x soldiers. No. of days the No. of soldiers food last 35 1000 40 x Here, the number of days is inversely related to the number of soldiers. So as the days increases, the number of soldiers will decrease. ∴40:35::1000:x ⇒4035=1000x Cross-multiplying, we get ⇒40×x=1000×35 ⇒x=1000×3540=875 Hence, the number of soldiers left = 1000 - 875 = 125

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