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In a certain office, 50 percent of the employees are college

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In a certain office, 50 percent of the employees are college [#permalink] New post 11 Jul 2009, 10:06
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In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates.
(2) Of the employees 40 years old or less, 25 percent have master's degrees.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-a-certain-office-50-percent-of-the-employees-are-college-143768.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Feb 2014, 06:33, edited 1 time in total.
Edited the question and added the OA.
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Re: College Grad [#permalink] New post 11 Jul 2009, 10:46
Here any statement that gives you total number of people in absolute values is sufficient.

50% - grads
60% - >40 age

30% of 60% are graduates
ie 18% are graduates and above 40 years of age

Now if you get the number for any of these percentages, you can find out the 18% figure.

statement 1 gives one such figure: 50% graduates = 100 people......sufficient (you know 50%, you can find 18%)
stmt 2 gives you another percentage figure, but no absolute figure.....insufficient
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Re: College Grad [#permalink] New post 11 Jul 2009, 13:44
A is correct

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Re: College Grad [#permalink] New post 08 Nov 2011, 12:21
It is easier to solve this problem if we do a matrix. But any way, it is clear that only (1) gives a quantitive amount where (2) gives just percentage.

Hence only (1) is sufficient to answer and not (2)
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Re: In a certain office, 50 percent of the employees are college [#permalink] New post 12 Feb 2014, 05:52
Hi,
Please add the OA. Thanks.
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Re: In a certain office, 50 percent of the employees are college [#permalink] New post 12 Feb 2014, 06:34
Expert's post
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

Let x be the number of employees in that office. Given that:
0.5x = college graduates;
0.6x = employees over 40;
0.3*0.6x = employees over 40 with master's degrees.

(1) Exactly 100 of the employees are college graduates --> 0.5x=100. We can find the value of x, thus we can determine the value of 0.3*0.6x. Sufficient.

(2) Of the employees 40 years old or less, 25 percent have master's degrees. We have no information about the number of employees in any group, only percentages. Not sufficient.

Answer: A.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-a-certain-office-50-percent-of-the-employees-are-college-143768.html
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Re: In a certain office, 50 percent of the employees are college   [#permalink] 12 Feb 2014, 06:34
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