500 soldier in a fort had enough food for 30 days bit 125 soldier were transferred to another fort.For how many days did the food last then?
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Given that 500 soldiers in a fort had enough food for 30 days
Let the number of soldiers transferred to another 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 were transferred to another fort.
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