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In Town X, 64 percent of the population are employed, and 48 [#permalink]

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16 Nov 2009, 16:25

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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?

Re: Never underestimate any questions [#permalink]

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16 Nov 2009, 17:27

ezinis wrote:

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%

answer b

male-employed - 64% female-employed-16% Total employed 64%

means total unemployed = 36%

therefore d and e are not correct because female unemployed has to be less than 36%

plug in a and b in place of 32% and the sum is not 100%

I think we are asked to calculate the percentage of females in employed people.

Total employed people 64%, out of which 48 are male, hence 16% are employed females. 16/64=1/4=25%

Answer: B.

made the changes to my original post...you are correct..got the same percentage but i have no idea why i was going for female unemployed..totally off my game.

Re: Never underestimate any questions [#permalink]

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16 Nov 2009, 23:12

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In problems like this one I always like to use tables to organize my thoughts. First I assumed that there are a 100 people in this town (for me it just makes it mentally easier).

So reading the question very carefully 48% of the population are employed males and 64 % of the population are employed.

What percent of the employed are females? The percent employed females in the total population is easy. That is 16%. 64 minus 48. But they are asking what percent of the employed are female. Now we must compare that 16% to the total employed 16/64. So one quarter of the employed are female.

here total employed population is 64% and 48 % of the total population is males so the 16 % of the population is employed is females so the % of females employees out of employed males is( 16/64)*100 = 25%

Question does not seem to have adequate information. Since we dont know how many unempolyed males are there. Solution given by piyatiwari does not cosider this fact. Also would like to know the source of this problem

Question does not seem to have adequate information. Since we dont know how many unempolyed males are there. Solution given by piyatiwari does not cosider this fact. Also would like to know the source of this problem

We don't need to know number of unemployed males. The question has all the required information.

Re: Never underestimate any questions [#permalink]

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08 Nov 2010, 23:25

Answer: B Explanation: Suppose, Population= P, Employed People= E , Employed Male= M, and Employed Female= F. What we need to find is \(\frac{Employed Female}{Employed People} %=\frac{F}{E} %\)

Let's pick \(100\) as a smart number here for the population of town X.

So, \(P= 100\) and \(E= 64% of P = \frac{64}{100} * 100 = 64\) \(M= 48% of P = \frac{48}{100} * 100 = 48\) Then, \(F= E - M = 64 - 48 = 16\) Therefore, from above we can calculate that, \(\frac{F}{E} % = \frac{16}{64} * 100 = \frac{1}{4} * 100 = 25 %\) (we got what we were asked to find )

Hence the answer is B.

Be careful not to get into the trap of finding employed female percentage of population of town X because we are asked to find what percent of the employed people (\(x% of E\)) are female (\(F\)), try to translate the words--> \(x% of E = F\) --> \(x=F/E %= ?\) and clearly state what exactly needs to be found in your own words or expression.
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Re: Never underestimate any questions [#permalink]

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15 Mar 2011, 23:04

ezinis wrote:

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%

Total population 100 total employed 64 employed male 48 (given) employed female 64-48= 16 percentage of female employed people to total employed people: 16/64*100=25%
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Re: In Town X, 64 percent of the population are employed, and 48 [#permalink]

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Re: In Town X, 64 percent of the population are employed, and 48 [#permalink]

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Re: In Town X, 64 percent of the population are employed, and 48 [#permalink]

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20 Jan 2016, 08:16

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