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percent problem

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by smallsorrow » Fri Oct 03, 2008 11:01 am
In a corporation, 50% of the male employees and 40 % of the female employee are at least 35 yrs old. If 42 % of all employees are at least 35 yrs old, what fraction of the employees in the corporation are female?
A) 3/5
B) 2/3
C) 3/4
D) 4/5
E) 5/6
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Re: percent problem

by dally_gmat » Fri Oct 03, 2008 11:12 am
Let no of total fem = f
no of total employees = x

Eq :

.5(x-f) + .4f = .42x

Solving
.08x = .f

f/x = 8/10 = 4/5

Is D right answer?
smallsorrow wrote:In a corporation, 50% of the male employees and 40 % of the female employee are at least 35 yrs old. If 42 % of all employees are at least 35 yrs old, what fraction of the employees in the corporation are female?
A) 3/5
B) 2/3
C) 3/4
D) 4/5
E) 5/6
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by raju232007 » Fri Oct 03, 2008 12:16 pm
Based on the given information we can set up an equation as follows
0.5x+0.4y=0.42(x+y)
0.5x+0.4y-0.42x-0.42y=0
0.08x-0.02y=0
8x=4y
y=4x

We are asked to find fraction of females..i.e y/x+y

4x/(x+4x)=4x/5x=4/5...

The ans is 4/5...
Let me know if you have any doubts..
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