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Question

A camp has 20 days ration for 40 troops. If after 5 days,10 troops arrive, then, for how many days will the ration be sufficient?

Solution
Verified by Toppr

Number of troops to begin with 40 .. total rations available for 20 days.After 5 days., 25% of the rations would have been consumed.40 troops would consume the remaining rations (75%) in 15 days.Adding 10 additional troops, the number would increase to 50 and that means rations would be consumed faster.

40 troops = 15 days

50 troops = ? days

Since the number of days are inversely proportional to the number of troops., we can compute the number of days the pending rations (d) would last as

50 * d = 40 * 15

or

d = 40 * 15/50 or d = 12 days.

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