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Question

In a fort $$150$$ men had provisions for $$45$$ days.
After $$10$$ days $$25$$ men left the fort. How long would the food last at the same rate?

Solution
Verified by Toppr

After $$10$$ days: For $$150$$ men, provision will last $$(45-10)$$ days $$=35$$ days
For $$1$$ man, the provisions will last $$=150\times 35$$ days
And for $$(150-25)=125$$ men, the provisions will last for $$=\dfrac {150\times 35}{25}=42$$ days.

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