Question

A garrison 6600 men had provisions for 64 days at the rate off 1700 g per head at the end of 14 days, a reinforcement arrives and it was found that the provision will last 34 days more at the rate of 1650 g per head. what is the strength of the reinforcement?

Answer 1

Step-by-step explanation:

Given A garrison 6600 men had provisions for 64 days at the rate off 1700 g per head at the end of 14 days, a reinforcement arrives   and it was found that the provision will last 34 days more at the rate of 1650 g per head. what is the strength of the reinforcement?

• 6600 men taking 1700 gms per head have provisions for (64 – 14) or 50 days
• Now we need to find number of men taking 1650 gms each provisions for 34 days.
• Now less provision per head then it will be more men
• Less days more men (Indirect proportion)
• Therefore Provision 1650 : 1700  
•                                                                       : : 6600 : m
•                               Days   34 : 50        
•  Now 1650 x 34 x m = 1700 x 50 x 6600
•                  Or m = 1700 x 50 x 6600 / 1650 x 34
•                  Or m = 10,000
• Therefore strength of reinforcement will be 10,000 – 6600 = 3,400

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