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# Of the employees in a company, 30 % are female who have a master degre

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Manager
Joined: 10 Feb 2011
Posts: 108
Of the employees in a company, 30 % are female who have a master degre  [#permalink]

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09 Mar 2011, 07:16
1
00:00

Difficulty:

25% (medium)

Question Stats:

85% (02:06) correct 15% (03:11) wrong based on 52 sessions

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Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?

(A) 25 %
(B) 30 %
(C) 32.5 %
(D) 37.5 %
(E) 45 %
Intern
Joined: 06 Feb 2011
Posts: 23
Re: Of the employees in a company, 30 % are female who have a master degre  [#permalink]

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09 Mar 2011, 07:32
3
Let E be total no. of employees and F be total no of female employees.

Question asked what is F/E X 100%?

No. of female employees with Masters = 0.3 x E (From the question)

No. of female employees without masters = 0.2 x F (From the question)
Therefore No. of female employees with masters = F - 0.2 F = 0.8 F

The 2 expressions equal each other therefore 0.8F = 0.3E; F/E = 0.3/0.8 = 37.5%

Ans: D
Intern
Joined: 09 Mar 2017
Posts: 49
Location: India
GMAT 1: 650 Q45 V31
GPA: 4
Re: Of the employees in a company, 30 % are female who have a master degre  [#permalink]

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09 Dec 2017, 09:00
Hi Bunuel,

I need help in this question.
Math Expert
Joined: 02 Sep 2009
Posts: 52431
Re: Of the employees in a company, 30 % are female who have a master degre  [#permalink]

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09 Dec 2017, 09:40
1
amitpandey25 wrote:
Hi Bunuel,

I need help in this question.

Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?

(A) 25 %
(B) 30 %
(C) 32.5 %
(D) 37.5 %
(E) 45 %

Check the image below:

30 + 0.2x = x;
x = 30/0.8 = 37.5.

Attachment:

Untitled.png [ 5.6 KiB | Viewed 442 times ]

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Joined: 18 Aug 2016
Posts: 623
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: Of the employees in a company, 30 % are female who have a master degre  [#permalink]

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09 Dec 2017, 09:49
banksy wrote:
Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?

(A) 25 %
(B) 30 %
(C) 32.5 %
(D) 37.5 %
(E) 45 %

Let x% be the no. of female employees
0.8x = 30
x= 300/8 = 37.5%
D
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Re: Of the employees in a company, 30 % are female who have a master degre &nbs [#permalink] 09 Dec 2017, 09:49
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