Ratio proportion Question Answers

Ratio and Proportion - Quant/Math - CAT 2008

Question 4 the day: March 26, 2003

The question for the day is from the topic of Ratio and Proportion

A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

(1)	35			(2)	30
(3)	28			(4)	42

Correct Answer - (3)

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Solution:


Let the original number of workers in the group be 'x'

Therefore, actual number of workers = x-7.

We know that the number of manhours required to do the job is the same in both the cases.

Therefore, x (24) = (x-7).30

24x = 30x - 210

6x = 210

x = 35.

Therfore, the actual number of workers who worked to complete the job = x - 7 = 35 -7 = 28.