A garrison of 500 men had provisions for 24 days. However, a reinforcement ?

A. 15 days

B. 16 days

C. 1/2 days

D. 18 days

Answer : A. 15 days

Explanation:

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)
⇒ Men 500 : 800 :: x : 24
⇒ 500 × 24 = 800x
⇒ 5 × 24 = 8x
⇒ x = 5 × 3 = 15

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