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Given that fort had provision for 500 persons for 27

days

Hence, after 3 days, the remaining food is sufficient for 500 persons for 24

days

Remaining persons after 3 days = 500 + 300 = 800

Assume that after 10 days,the remaining food is sufficient for 800 persons for x

days

More men, Less days (Indirect Proportion)

⇒Men500:800}::x:24

⇒500×24=800x⇒5×24=8x⇒x=5×3=15

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