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# If 25% of a company's employees are women older than 30, what percent

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Manager
Joined: 09 Oct 2008
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If 25% of a company's employees are women older than 30, what percent  [#permalink]

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20 Oct 2008, 03:09
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Difficulty:

55% (hard)

Question Stats:

67% (02:25) correct 33% (02:08) wrong based on 91 sessions

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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?

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-25-of-a-c ... 36698.html
VP
Joined: 17 Jun 2008
Posts: 1371
Re: If 25% of a company's employees are women older than 30, what percent  [#permalink]

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20 Oct 2008, 05:27
The answer has to be w.r.t. men employee and C should be the answer.

From stmt1: 0.25(w+m) = 0.5w or m = w.
From stmt2: 0.35(m+w)

Combining both, 0.35(m+w) = 0.7m and hence 70%.
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Re: If 25% of a company's employees are women older than 30, what percent  [#permalink]

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20 Oct 2008, 15:19
Can you explain statement 1 please?
VP
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Re: If 25% of a company's employees are women older than 30, what percent  [#permalink]

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20 Oct 2008, 16:09
vishalgc wrote:
25% of the company employees are women older than 30. What percent of the men employees are 30 or younger?

a:Half of the women employees are 30 or younger
b:35% of the company employees are men of 30 or younger.

Do we need to give answer respected to Company or to total men?

Let total emp be t
women =w men=m
w1 >30
w2<=30

m1 >30
m2<=30
w1+w2=w
m1+m2=m

25% of emp are women of age >30
t/4 = w1
QUESTION : m2/m=?
a)w/2=w2 but how does it help getting m2 since m1 is unknown

b)m2=35/100 (w+m) cant help getting m2 since w2,m1 is unknown

combine both a and b :
t=w+m=w1=w/2 => m=w/2

m2= 0.35(3w/2) =0.35(3m) => m2/m= 0.35 SUFFI

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

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20 Oct 2008, 23:41
Can you explain statement 1 please?

stmt1 says that if number of women employees is w then half of w is 30 years old or younger and remaining half is more than 30 years old.
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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, 11:55
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.

Combined:
M(<30)/M= 35/50= 70%
Sufficient.

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

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27 Sep 2011, 09:27
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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27 Sep 2011, 09:48
I picked C.

stm 1: Insuff Women are 50% of total company employees
stm 2: Insuff 35% of total are men(<=30)

Combined stm1 and stm 2: Sufficient.... men are 50% of total, and 35% of total are men(<=30)....then men(<=30) are 70% of men employees
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Re: If 25% of a company's employees are women older than 30, what percent  [#permalink]

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27 Aug 2017, 02:27
vishalgc 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

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-25-of-a-c ... 36698.html

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-25-of-a-c ... 36698.html
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Re: If 25% of a company's employees are women older than 30, what percent   [#permalink] 27 Aug 2017, 02:27
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