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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  [#permalink]

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New post 28 Jun 2017, 03:34
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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%

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Re: In Company X, 30 percent of the employees live over ten miles from wor  [#permalink]

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New post 28 Jun 2017, 05:13
Bunuel 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 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%


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)...
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Re: In Company X, 30 percent of the employees live over ten miles from wor  [#permalink]

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New post 28 Jun 2017, 05:58
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
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Re: In Company X, 30 percent of the employees live over ten miles from wor  [#permalink]

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New post 30 Jun 2017, 09:19
Bunuel 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 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%


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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Re: In Company X, 30 percent of the employees live over ten miles from wor  [#permalink]

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New post 30 Jun 2017, 14:10
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I hope it helps.
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Re: In Company X, 30 percent of the employees live over ten miles from wor  [#permalink]

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Re: In Company X, 30 percent of the employees live over ten miles from wor   [#permalink] 17 Mar 2019, 11:16
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