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# Of the employees at a company, 60 percent were men and, of these

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Math Expert
Joined: 02 Sep 2009
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Of the employees at a company, 60 percent were men and, of these  [#permalink]

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03 Jul 2018, 09:59
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Difficulty:

45% (medium)

Question Stats:

50% (01:13) correct 50% (01:16) wrong based on 38 sessions

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Of the employees at a company, 60 percent were men and, of these, $$\frac{1}{10}$$ were still employed after a recent corporate restructuring. If the number of women who were still employed after the restructuring was five times the number of men who were employed after it, what percent of the women were still employed after the restructuring?

A. 6%
B. 20%
C. 30%
D. 50%
E. 75%

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Posts: 25
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Re: Of the employees at a company, 60 percent were men and, of these  [#permalink]

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03 Jul 2018, 10:22
Say there are 100 employees. Men = 60, Women = 40.
Men still employed = (1/10)*60 = 6.
Women still employed = 6*5 = 30
% women still employed = 30/40 = 75%, Option E
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Re: Of the employees at a company, 60 percent were men and, of these  [#permalink]

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03 Jul 2018, 10:35
nkin wrote:
Say there are 100 employees. Men = 60, Women = 40.
Men still employed = (1/10)*60 = 6.
Women still employed = 6*5 = 30
% women still employed = 30/40 = 75%, Option E

But didnt the question say the number of women still employed is equal to 5 times of the number of men employed AFTER it..

So if there are 60 men and after reconstruction only 6 remained employed that mean 54 is the number of men after after reconstruction.
then why did you multiple 5 with 6

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Joined: 09 Jun 2018
Posts: 25
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Re: Of the employees at a company, 60 percent were men and, of these  [#permalink]

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03 Jul 2018, 10:54
Antreev wrote:
nkin wrote:
Say there are 100 employees. Men = 60, Women = 40.
Men still employed = (1/10)*60 = 6.
Women still employed = 6*5 = 30
% women still employed = 30/40 = 75%, Option E

But didnt the question say the number of women still employed is equal to 5 times of the number of men employed AFTER it..

So if there are 60 men and after reconstruction only 6 remained employed that mean 54 is the number of men after after reconstruction.
then why did you multiple 5 with 6

Posted from my mobile device

Hey Antreev, Question says "If number of women who were still employed after the restructuring was five times the number of men who were employed after it", this translates to saying that number of women employed after restructuring = 5 * number of men employed after restructuring = 5*(1/10)*60 = 30. 54 men are UNemployed, or fired during the restructuring.

Also, if you do take 54 as the number then you would multiply 5*54 which is more than 100 (which is the number we originally assumed). So that should also give you a hint to look back!

Hope that helps!
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Re: Of the employees at a company, 60 percent were men and, of these  [#permalink]

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03 Jul 2018, 11:09
Bunuel wrote:
Of the employees at a company, 60 percent were men and, of these, $$\frac{1}{10}$$ were still employed after a recent corporate restructuring. If the number of women who were still employed after the restructuring was five times the number of men who were employed after it, what percent of the women were still employed after the restructuring?

A. 6%
B. 20%
C. 30%
D. 50%
E. 75%

Let total no of employees be 100, out of which there were 60 men and 40 were women.

Of those 60 men 6 were still employed after corporate restructuring and 54 lost their job.

Quote:
If the number of women who were still employed after the restructuring was five times the number of men who were employed after it,
So, women who were still employed after the restructuring is 30
Quote:
what percent of the women were still employed after the restructuring?
Percentage is 30/40*100 = 75%, Answer must be (E)
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Of the employees at a company, 60 percent were men and, of these  [#permalink]

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04 Jul 2018, 05:58
Bunuel wrote:
Of the employees at a company, 60 percent were men and, of these, $$\frac{1}{10}$$ were still employed after a recent corporate restructuring. If the number of women who were still employed after the restructuring was five times the number of men who were employed after it, what percent of the women were still employed after the restructuring?

A. 6%
B. 20%
C. 30%
D. 50%
E. 75%

Let the total men and women be 100

Men = 60

Men Employed = 6
men Unemployed = 54

Women = 40

Women employed = 30...........as per the question the number of women still employed is 5 times the number of men. 5 * 6 = 30.
Women Unemployed = 10

Question : Number of Women still Employed.

$$\frac{(Number of Employed women}{Total Women )}$$ * 100

=$$\frac{30}{40}$$*100

= 75%

Thus the best answer is E.
Of the employees at a company, 60 percent were men and, of these &nbs [#permalink] 04 Jul 2018, 05:58
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