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In City X , 64% of the population are employed. If 48% of

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SVP
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In City X , 64% of the population are employed. If 48% of [#permalink]  12 Nov 2003, 10:01
In City X , 64% of the population are employed. If 48% of the population are males who are employed, what % of the females are employed?
Director
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Don't we need more information, like, say, the ratio of men to women?
Manager
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% of females employed = 34 appr.
Director
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Lets say the population is 100.

We have 4 groups: Unemployed men, Unemployed women, Employed men, and Employed women. lets call them UM, UW, EM, and EW.

We need to know the value of EW/(EW+UW)
We know that:
UM+UW+EM+EW=100
EM+EW=64
EM=48

It follows that
EW=16

But how do you reach a value for UW?
Director
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if this ques. is under PS, then don't strain your brain much. 64%*52% .. should resolve the conflicts..
Intern
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is the question complete/correct!?
GMAT Instructor
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stoolfi wrote:
Lets say the population is 100.

We have 4 groups: Unemployed men, Unemployed women, Employed men, and Employed women. lets call them UM, UW, EM, and EW.

We need to know the value of EW/(EW+UW)
We know that:
UM+UW+EM+EW=100
EM+EW=64
EM=48

It follows that
EW=16

But how do you reach a value for UW?

You can't, but that question is not asked so you don't care!
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Director
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64% of the population are employed. If 48% of the population are males who are employed, what % of the females are employed?

Consider this, and tell me where I make my error:

60 males, 48 of whom are employed
40 females, 16 of whom are employed.
This satisfies both conditions, and the answer is 40%

50 males, 48 of whom are employed.
50 females, 16 of whom are employed.
This satisfies both conditions, and the answer is 32%

What am I doing wrong?
Manager
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stoolfi wrote:
64% of the population are employed. If 48% of the population are males who are employed, what % of the females are employed?

Consider this, and tell me where I make my error:

60 males, 48 of whom are employed
40 females, 16 of whom are employed.
This satisfies both conditions, and the answer is 40%

50 males, 48 of whom are employed.
50 females, 16 of whom are employed.
This satisfies both conditions, and the answer is 32%

What am I doing wrong?

stoolfi,

I see where you're having the conflict in meanings.

Let me reword the question:
In city X, 64% of the population is employed. If 48% of the total male population is employed, what % of the total female population is employed?
Director
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Wonder_gmat:

I don't know if I have you banging your head against the wall yet, but I as read your rephrasing:In city X, 64% of the population is employed. If 48% of the total male population is employed, what % of the total female population is employed? I am still hapless.

My conclusion is that the female population must be employed at a rate greater than 64%. Since the male population is less employed (as a percentage) than the total population, then the female population must be more employed (as a percentage) than the total population.
Manager
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stoolfi wrote:
Wonder_gmat:

I don't know if I have you banging your head against the wall yet, but I as read your rephrasing:In city X, 64% of the population is employed. If 48% of the total male population is employed, what % of the total female population is employed? I am still hapless.

My conclusion is that the female population must be employed at a rate greater than 64%. Since the male population is less employed (as a percentage) than the total population, then the female population must be more employed (as a percentage) than the total population.

Ok. Here's how I did it, let me know if it makes sense to you.

We know that 48% of the total males are employed, so now have to find the percentage that contributes to 64% employed. That is ratio of employed to total males.
Ratio = 48/100

Find the percentage that this ratio contributes towards total employement.
We get,
64% * Ratio = 64% * 48/100 = 30.72% ..... this is towards the 64% employed

% Total Employed = % Employed Male + % Employed Female
64 = 30.72 + % EF
% EF = 64 - 30.72
% EF = 33.28

And you can round it up or down. I rounded up because I didn't know the exact decimal values because didn't have paper-pen/calculator. I figured it'd be somewhere around 33.5 so might as well round it up.
CEO
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Its best to solve these using a table.

have Males and Females in two columns and a third column with TOTAL

have Employed and Not Employed in two ROWS and a third ROW with

TOTAL

........................M.................. F..................TOTAL

E .....................48.................16...................64

NE

Total

I get 16.
Director
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I used the table too. Table is best! I also get 16%.
Manager
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Bhai,

SVP
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OA is 34 : Thats what I have do not know how
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