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Ratio and Proportion - Quant/Math - CAT 2013
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 |
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(2) |
30 |
| (3) |
28 |
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(4) |
42 |
Correct Answer - (3)
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.
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