# 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%

Choice B. 60%

## Detailed Solution

Half as large means an increase of 50% =) 3rd worker = $\frac{(1st worker + 2nd worker)}{2}$…….(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)

## Our Online Course, Now on Google Playstore!

### Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.

### Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

## More questions from Averages, Ratios, Mixtures

A number of beautiful questions from three allied topics. Most sportsmen will tell you - If you know the percentage play, you can profit well from it,