Q11 of 24 Page 213

500 soldiers in a fort had enough food for 30 days. After 6 days some soldiers were sent to another fort and thus the food lasted for 32 more days. How many soldiers left the fort?

Given that 500 soldiers in a fort had enough food for 30 days


Let the number of soldiers that left the fort be x


After 6 days, number of soldiers = (500 – x)


Given that food lasted for 32 more days.


Hence 500 × 24 = (500 – x) × 32


⇒ (500 – x) = 375


⇒ x = 500 – 375 = 125


Thus 125 soldiers left the fort.


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