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A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ?

Correct Answer: 1900

Explanation:

Given 2000 ---- 54 days


The provisions for 2000 men for 39 days can be completed by 'm' men for only 20 days.


i.e, 2000 ----- 39 days == m ---- 20 days


=> m x 20 = 2000 x 39


m = 3900


So total men for 20 days is 3900


=> 2000 old and 1900 new reinforcement.


Hence, reinforcement = 1900.


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