A garrison of 6600 men had provisions for 64 days at the rate of 1700 g per head At the end of 14 da...........

Quant (SSC) Time and work

A garrison of 6600 men had provisions for 64 days at the rate of 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?

3400

6800

3300

3500

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Explanation:

The given problem takes the form as follows : 6600 men taking 1700 g per head have provision for (64 – 14) = 50 days how many men taking 1650 g per head have provition for 34 days ? Less provision per head, More men (Indirect) Less days, More men (Indirect)

∴ Strength of reinforcement = 10000 – 6600 = 3400