simple but tricky

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smclean23: Master | Next Rank: 500 Posts; Posts: 172; Joined: Mon Jun 23, 2008 12:00 pm; Thanked: 3 times; Followed by:1 members

simple but tricky

by smclean23 » Mon Jul 14, 2008 4:38 pm

. 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 are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%

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Source: Beat The GMAT — Problem Solving | Mon Jul 14, 2008 4:38 pm

kishore: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Fri Dec 21, 2007 2:58 pm; Location: Fremont , California; Thanked: 3 times

by kishore » Mon Jul 14, 2008 8:11 pm

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 are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?

(C) 22%

Assume,
Total Number of Employees = 100

30 % of employees live over ten miles = 30 % (100) = 30

60 % of the employees who live over ten miles from work are in car pools
=> 60 % (30) = 18

40 percent of the employees of Company X are in car pools = 40 % (100)

= 40

Total Number of Car pools (T1) = 40

Total Number of Car pools and live more than 10 miles (T2) = 18

Total employees live ten miles or less from work and are in car pools

= (T1) - (T2)
= 40 - 18 = 22

Percent = 22%

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ksh: Master | Next Rank: 500 Posts; Posts: 106; Joined: Sun Feb 17, 2008 10:09 pm; Thanked: 3 times

Re: simple but tricky

by ksh » Mon Jul 14, 2008 11:35 pm

smclean23 wrote:. 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 are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%

say total employees of company x= E

from the question stem, 0.3E live over ten miles and out of this 60% are in car pool. so, total 0.3E*0.6=0.18E in car pool who live over ten miles

Also, a total of 40% employees are in car pool i.e. 0.4E in car pool
so, employees who are in car pools and live 10 miles or below
=0.4E-0.18E=0.22E
which is 22% of total employees.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Mon Dec 18, 2017 7:46 am

smclean23 wrote:. 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 are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%

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

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