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Re: If 25% of a company's employees are women older than 30, what percent [#permalink]

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16 Sep 2011, 10:55

vishalgc wrote:

25% of the company 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 employees are men of 30 or younger.

If we consider total employees=100.

Stem: Total Employees=100 Women(>30)=25

1)Half of the women employees are 30 or younger. i.e. Half of the women employees are older than 30. Women(>30)=30=1/2*W W=50. We now know; Women=50 Men=50. But, still don't know how many of those men are <=30. Not Sufficient.

2) 35% of the company employees are men of 30 or younger. M(<=30)=35

But, we don't know how many men are there in total. Not Sufficient.

Re: If 25% of a company's employees are women older than 30, what percent [#permalink]

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27 Sep 2011, 08:27

Agree with fluke. Even I used the same approach.

Time taken: 2 min and 2 seconds and I did not even use pen and paper. I have a feeling that this habit of mental calculations in DS will someday backfire
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Re: If 25% of a company's employees are women older than 30, what percent [#permalink]

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26 Aug 2017, 10:13

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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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.