Question

A group od600 men is provisioned for 24 days allowing 250 g per man per day if the group is increased by200 men to what must the daily ration per man be reduced so that the provision may last 20 daus

Answer 1

600 men consume 3600 kg ration in 24 days

800 men consume 3600 kg ration in 18 days

but the ration must last 20 days, so daily ration per man should be reduced.

if 3600 kg must last 20 days then for one day the whole 800 men must consume 180 kg of ration.

if 800 men consume 180 kg in one day the each man gets {180/800}kg of ration. that is 225 grams.

So 25 grams ration per man must be reduced so that the provisions may last 20 days.