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

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In City X , 64% of the population are employed. If 48% of [#permalink] New post 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? :roll:
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 [#permalink] New post 12 Nov 2003, 13:12
Don't we need more information, like, say, the ratio of men to women?
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 [#permalink] New post 12 Nov 2003, 13:58
% of females employed = 34 appr.
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 [#permalink] New post 12 Nov 2003, 14:50
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?
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 [#permalink] New post 14 Nov 2003, 20:04
if this ques. is under PS, then don't strain your brain much. 64%*52% .. should resolve the conflicts.. :wink:
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 [#permalink] New post 19 Nov 2003, 18:48
is the question complete/correct!?
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 [#permalink] New post 20 Nov 2003, 05:18
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!
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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

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 [#permalink] New post 20 Nov 2003, 06:31
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?
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 [#permalink] New post 20 Nov 2003, 08:42
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?
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 [#permalink] New post 20 Nov 2003, 08:58
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.
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 [#permalink] New post 20 Nov 2003, 10:47
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.
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 [#permalink] New post 23 Nov 2003, 14:36
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.
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 [#permalink] New post 25 Nov 2003, 19:43
I used the table too. Table is best! I also get 16%.
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 [#permalink] New post 26 Nov 2003, 06:04
Bhai,

What's the official answer?
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 [#permalink] New post 28 Nov 2003, 12:20
OA is 34 : Thats what I have do not know how
  [#permalink] 28 Nov 2003, 12:20
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