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A Garrison Of 500 Persons Had Provisions For 27 Days. After 3 Days A Reinforcement Of 300 Persons Arrived. For How Many More Days Will The Remaining Food Last Now?

Answer»

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 3 days,the remaining food is sufficient for 800 persons for XX days

More MEN, Less days (Indirect Proportion)

(men) 500 : 800 :: xx : 24

⇒500×24=800x

⇒5×24=8x

⇒x=5×3=15.

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 3 days,the remaining food is sufficient for 800 persons for xx days

More men, Less days (Indirect Proportion)

(men) 500 : 800 :: xx : 24

⇒500×24=800x

⇒5×24=8x

⇒x=5×3=15.



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