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Out of a total of 1,000 employees at a certain corporation,

Expert replies
by BTGmoderatorDC » Wed Apr 24, 2019 6:59 pm
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Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 60 percent of the total number of employees work in research, how many male employees do NOT work in research?

(A) 520
(B) 480
(C) 392
(D) 208
(E) 88

OA E

Source: Princeton Review
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Source: — Problem Solving |

by Jay@ManhattanReview » Wed Apr 24, 2019 9:04 pm
BTGmoderatorDC wrote:Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 60 percent of the total number of employees work in research, how many male employees do NOT work in research?

(A) 520
(B) 480
(C) 392
(D) 208
(E) 88

OA E

Source: Princeton Review
Given that 60 percent of the total number of employees (1,000) work in research, the number of employees working in research = 60% of 1,000 = 600

Thus, the number of employees who do not work in research = 1,000 – 600 = 400 ---(1)

Given that out of a total of 1,000 employees, 52 percent are female, the number of female employees = 52% of 1,000 = 520

Thus, the number of male employees = 1,000 – 520 = 480

Given that 40 percent of these females (520) work in research, the number of female employees who work in research = 40% of 520 = 208 ---(2)

From (1) and (2), we have the number of male employees who work in research = 600 – 208 = 392

Thus, the number of male employees who work in research = 480 – 392 = 88

The correct answer: E

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Fri Apr 26, 2019 2:37 pm
BTGmoderatorDC wrote:Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 60 percent of the total number of employees work in research, how many male employees do NOT work in research?

(A) 520
(B) 480
(C) 392
(D) 208
(E) 88

OA E

Source: Princeton Review
We see that there are 1,000 x 0.52 = 520 females and 520 x 0.4 = 208 females work in research, and 1,000 x 0.6 = 600 total employees work in research; thus, 600 - 208 = 392 males work in research.

Since there are 1,000 - 520 = 480 total males, 480 - 392 = 88 do not work in research.

Answer: E

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