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Multiple Choice Questions

A man undertakes to do a certain work in 150 days He employs 200 men He finds that only a quarter of...........

Quantitative Aptitude (CUET) Time and work

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

100

125

Explanation:

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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