CAT Practice : Percents, Profits

Three Wokers

Worker Efficiency

    Q.32: In a field, two workers are planting trees. After sometime, a third worker is added and the number of trees planted becomes half as large. How many trees can the second worker plant as a percentage of the number of trees planted by first worker if it is given that efficiency of second worker is 1/3 of 1st and 3rd worker combined.
    1. 65%
    2. 60%
    3. 70%
    4. 75%

 

  • Correct Answer
    Choice B. 60%

Detailed Solution

Half as large means an increase of 50% =) 3rd worker = …….(1)

Also given, number of trees planted by 1st + 3rd = 3 x 2nd………..(2)

This problem can be solved easily using options:

a) If trees planted by 2nd worker = 65

1st worker = 100 3rd worker = 82.5 (from (1))

Putting in (2) = ) 182.5 = 3 x 65 = 185 (Not satisfied)

b) If trees planted by 2nd worker = 60

1st worker = 100

3rd worker = 80 (from (1))

Putting in (2) = ) 180 = 3 x 60 = 180 (Satisfied)

Answer – b)

Correct Answer: 60%



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