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If 25% of a company's employees are women older than 30

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If 25% of a company's employees are women older than 30 [#permalink] New post 01 Aug 2012, 12:22
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A
B
C
D
E

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  25% (low)

Question Stats:

76% (02:57) correct 23% (01:55) wrong based on 43 sessions
If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

(1) Half of the women employees are 30 or younger.
(2) 35% of the company's employees are men of 30 or younger.

I think the answer to this question is incorrect in the tests. I think it E but its given as C. Can somebody help ?
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Aug 2012, 14:57, edited 1 time in total.
Edited the question.
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Re: DS [#permalink] New post 01 Aug 2012, 14:34
vdadwal wrote:
If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

Half of the women employees are 30 or younger
35% of the company's employees are men of 30 or younger
Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

I think the answer to this question is incorrect in the tests. I think it E but its given as C. Can somebody help ?


C is indeed the right answer.

To find the "percent of the men employees 30 or younger", we need to find the percentage of men employees in the company.
Option 1 - gives information that 25% women employees are 30 or younger. It means, total women employee in the company is 50%.
Hence, total men employee in the company is 50%.
Option 2 - gives information that 15% (50%-35%) men employees are older than 30.
Hence, percent of the men employees are 30 or younger = 35/50 = 70%

Answer is C. HTH. Cheers!
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Re: If 25% of a company's employees are women older than 30 [#permalink] New post 01 Aug 2012, 14:59
Expert's post
vdadwal wrote:
If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

(1) Half of the women employees are 30 or younger.
(2) 35% of the company's employees are men of 30 or younger.

I think the answer to this question is incorrect in the tests. I think it E but its given as C. Can somebody help ?



If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

Say there are total of 100 employees. So, we have that 25 women are older than 30.

(1) Half of the women employees are 30 or younger. Hence, another half of the women employees are older than 30. So, 25 women which are older than 30, account for half of the women employees, which means that there are 2*25=50 women employees and 100-50=50 men employees. But we still don't know how many from these 50 men are 30 or younger. Not sufficient.

(2) 35% of the company's employees are men of 30 or younger. Hence, there 35 men who are 30 or younger. We still don't know the total number of men employees. Not sufficient.

(1)+(2) From (1) we have that there are total of 50 men employees and from (2) we have that 35 men are 30 or younger, so \frac{35}{50}*100=70% of the men employees are 30 or younger. Sufficient.

Answer: C.

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Re: If 25% of a company's employees are women older than 30 [#permalink] New post 02 Aug 2012, 20:33
The best approach for me in such situations is drawing a table. So in one axes we have two groups 30- and 30+ in another axes we have gender M vs W. ! statement tels us that half of the women are 30- which is equal to 25% out of all employees - not sufficient, second statement tells us that 35% of employees are 30- , we still don't know how much percent is 35% out of all men. Combining both statements we see that 35% out of 50% is 70%. Answer is C.
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Re: If 25% of a company's employees are women older than 30   [#permalink] 02 Aug 2012, 20:33
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