SOLUTION: the garrison of 80 men had provision for 10 days . after 2 days some persons join the garrison and the provision lasted for 4 days how many persons join the garrison ?

Question 729613: the garrison of 80 men had provision for 10 days . after 2 days some persons join the garrison and the provision lasted for 4 days how many persons join the garrison
?

Answer by mbmodak(32) (Show Source): You can put this solution on YOUR website!
Let us assume that each man of garrison consumes x gms provision per day
80 men shall consume 80*x gms per day
in 10 days they shall consume 80*x*10 or 800x gms
Now for two days 80 persons shall consume 2*80*x gms
therefore for remaining days the provisions in balance is 800x-160x=640x gms
This 640x gms quota is consumed by (80+additional men who joined after two days) in 4 days
Therefore No.of people=640/4=160
So 80 additional men joined the garrison after two days

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