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

B

875

C

850

D

1045

Solution

## The correct option is D 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  Mathematics

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