Of the employees in a company, 30 % are female who have a master degre : GMAT Problem Solving (PS)
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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: 114
Followers: 1

Kudos [?]: 246 [0], given: 10

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

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09 Mar 2011, 07:16
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Difficulty:

35% (medium)

Question Stats:

73% (01:42) correct 27% (01:41) wrong based on 11 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 %
[Reveal] Spoiler: OA
Intern
Joined: 06 Feb 2011
Posts: 29
Followers: 0

Kudos [?]: 5 [1] , given: 4

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
1
KUDOS
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
Re: Of the employees in a company, 30 % are female who have a master degre   [#permalink] 09 Mar 2011, 07:32
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