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A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time is
75
100
125
50
200 persons do 1/4 of the work in 50 days Therefore, 1 person does 1/4 of work in 50×200 days 1 person does 3/4 of work in 3×50×200 days n persons do 3/4 of the work in 3×50×200n 3×50×200/n = 100
n = 300 Already 200 workers are there, hence 100 more persons are to be employed. M1×D1 /W1 = M2×D2/W2 200×50 /1/4 = (200+x)×100 /3/4 4(200×50) = 400(200+x)/3 12(10000) = 400(200+x) 300=200+x Therefore, x = 100 Hence to complete work on time, additional employ required is 100.
Hence, option 2 is the correct answer.
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