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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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