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PS question 11

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by magical cook » Thu Sep 27, 2007 9:02 am
In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35
years old, what fraction of the employees in the corporation are females?
A. 3/5
B. 2/3
C. 3/4
D. 4/5
E. 5/6
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by samirpandeyit62 » Thu Sep 27, 2007 9:17 am
Let nos of male employees = x

nos of female employess =y

so acoording to question

.5x + .4y =.42(x+y)

i.e. x/y =1/4

so fraction of female employees = 4/5 (part-whole)

ans should be D
Regards
Samir
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by kajcha » Thu Sep 27, 2007 9:22 am
suppose there are x male and y female. We need to find y/(x+y)

(50x/100)+(40y/100) = 42(x+y)/100

Solve this equation to get
4x = y ----(1)
Add x to both sides
5x = x+y
Total no of employees = (x+y). => total no of employees = 5 times male employees.

From eq 1 we can get
y/x = 4

divide by 5 you get
y/5x = 4/5 ANS D
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by magical cook » Thu Sep 27, 2007 9:27 am
Thank you - you are correct. actually I was going to post the below and posted the anove in mistake.... can you also take a look?

In Town X, 64 percent of the population are employed, and 48 percent of the population
are employed males. What percent of the employed people in Town X are females?
A. 16%
B. 25%
C. 32%
D. 40%
E. 52%
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by kajcha » Thu Sep 27, 2007 9:33 am
B - 25%

Suppose the population is x

Empoyed people = 64x/100

Employed male = 48x/100

Employed Female = 64x/100 - 48x/100 = 16x/100

% Employed Female = (16x/100)*100/(64x/100) = 25%
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by magical cook » Thu Sep 27, 2007 9:55 am
thank you :D
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