In Company X, 30 percent of the employees live over ten miles from wor

Question

In Company X, 30 percent of the employees live over ten miles from work and 60 percent of the employees who live over ten miles from work use car pools. If 40 percent of the employees of Company X use car pools, what percent of the employees of Company X live ten miles or less from work and use car pools?

(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%

(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%

sashiim20 · Answer

Let the total number of employee  = 100

30 % of employee live over  10  miles = 30% of 100  = \frac{30}{100} * 100 = 30

60 % of  30 % of employee living over  10  miles use car pools  = \frac{60}{100} * 30 = 18

40 % of total employee use car pools = 40% of 100  = \frac{40}{100} * 100 = 40

Therefore total number employee living under  10  miles or less using car pools  = 40 - 18 = 22 .

Required percent = Number of employee living under 10 miles or less using car pools / Total employee  = \frac{22}{100} * 100 = 22 %.  Answer (C)...

danlew · Answer

Total number can be assumed as 100 as the question is gives only percents and no concrete numbers

Number of employees who live more than 10 miles away, and carpool = 30* \frac{60}{100}  = 18
Total number of employees who car pool is given as 40% = 40

Number of employees who car live 10 miles or less and carpool = 40-18 = 22 or 22%
Answer C

ScottTargetTestPrep · Answer

We can let the total number of people in Company X = 100.
 
Thus, since 30% of the employees lives more than ten miles from work and 60% of those employees use car pools:
 
100 x 0.3 x 0.6 = 18 employees live more than ten miles from work and use car pools.
 
We are also given that 0.4 x 100 = 40 employees use car pools.
 
Thus, 40 - 18 = 22 employees or 22% of the employees live 10 miles or less from work and use car pools.
 
Answer: C

Cucobr · Answer

https://imagizer.imageshack.us/v2/xq90/922/CdLoeJ.jpg

I hope it helps.

BrentGMATPrepNow · Answer

One approach is to use the  Double Matrix Method . This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).

Here, we have a population of employees , and the two characteristics are: 
- lives over ten miles from work or doesn't live over ten miles from work
- uses carpool or doesn't use carpool

Here's how we can set up the Matrix: 
 https://i.imgur.com/IYPNbnP.png

I'll let you complete the diagram.

Please note that this question type is  VERY COMMON  on the GMAT, so be sure to master the technique.

Here's a video covering the technique:
 https://www.youtube.com/watch?v=jK-tiBrrf04

Here's an extra practice question:
 https://www.youtube.com/watch?v=DsbPUSH_Wu4

Cheers,
Brent

ScottTargetTestPrep · Answer

If there are 100 employees, then 30 employees live more than 10 miles from work, 0.6 x 30 = 18 employees live more than 10 miles from work and use car pools, and 40 employees use car pools. Therefore, 40 - 18 = 22, or 22%, of the employees live ten miles or less from work and use car pools.

Answer: C

demawtf · Answer

Double set matrix HP: total population = 100 https://gmatclub.com/forum/download/file.php?id=82221 22/100 = 22% GMAT-Club-Forum-1kugmq6o.png

Kodir · Answer

10 miles and over: 30% => out of this 60% which means 18% of the total uses car pool
If 40% of the total uses car pool, 22% of total should come from 10 miles or lower employees which makes 70% of the total

what percent of 70% makes overall 22%?
0.22/0.70 => 0.31... ~ 0.32
Is not it E? 
Can someone clarify?

Krunaal · Answer

We need to find   what percent of the employees of Company X    live ten miles or less from work and use car pools  ? and    not   what percent of employees living ten miles or less    use car pools  ?

percent of the employees of Company X => % of Total, hence the answer is 22%

Kodir · Answer

Ah, yeah. I got the point. Thanks

In Company X, 30 percent of the employees live over ten miles from wor

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In Company X, 30 percent of the employees live over ten miles from wor

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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From 555 to 765: 210-point Improvement

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