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In Town X, 64 percent of the population are employed, and 48 [#permalink]
16 Aug 2004, 20:29

00:00

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Difficulty:

75% (hard)

Question Stats:

42% (03:06) correct
58% (00:57) wrong based on 114 sessions

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?

Let the total population be 100. 64% employed. --- 64% of 100 is 64 48% of the employed are MEN, hence we get 14% (64-48) employed women.

Therefore, % employed women out of total employed = (14/64) x 100 =>(1/4) x 100 = 25%

Regards

carsen, as you said,
I think this question is a little ambiguous .
It should say 48% of the employed people are men rather
than 48% of the population which include employed and unemployed people.

carsen, as you said, I think this question is a little ambiguous . It should say 48% of the employed people are men rather than 48% of the population which include employed and unemployed people

The question clearly says that 48% of population are employed MEN.
If 100% is the total population, then 48% of this population in 48%, and it is also given that 64% of the total population are employed. Hence we have 14% of the total population as women. The % of women employed / total employed = 14%/64% x100 = 25%

I mean the question said "64 percent of the population are employed"; that is, 36 percent of the population are unemployed.

so, the total population included employed and unemployed people.

However, "48 percent of the population are employed males",
it should be (employed males) / (total population) rather than
(employed males) / (employed population).

Hence, 64% - 48% directly seems a little confusing.

Am I wrong? thank you

carsen wrote:

Hello Chun

I did not understand what you had mentioned.

Quote:

carsen, as you said, I think this question is a little ambiguous . It should say 48% of the employed people are men rather than 48% of the population which include employed and unemployed people

The question clearly says that 48% of population are employed MEN. If 100% is the total population, then 48% of this population in 48%, and it is also given that 64% of the total population are employed. Hence we have 14% of the total population as women. The % of women employed / total employed = 14%/64% x100 = 25%

I mean the question said "64 percent of the population are employed"; that is, 36 percent of the population are unemployed.

so, the total population included employed and unemployed people.

However, "48 percent of the population are employed males", it should be (employed males) / (total population) rather than (employed males) / (employed population).

Hence, 64% - 48% directly seems a little confusing.

Am I wrong? thank you

I also found the wording confusing. "48 percent of the population are employed males" implies that if the population is 100 then 48 are employed males.

Wouldn't "48 percent of the EMPLOYED population are males" or "48 percent of those employed are males" make more sense for what they are implying?

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?

Let us give some variables to the terminology

Total population = T
Total employed = E
Employed Men = EM
Unemployd men = UM
Employed women = EW
unemployed women = UW

Now T = EM + UM + EW +UW (this is clear)

Let us pick a number, says total population is 100

therefore EM + UM + EW +UW = 100
From the question we know that 64% of the population are employed. that is EM + EW = 64 = E (this is clear too).

And it is also given that 48% of the population are employed male. Therefore EM=48 (this is also clear)

how many are employed females ?.

E = EM + EW - - -> 64=48+EW. ----> EW=16 (this is clear too)

The question asks "What percent of the employed people in Town X are females" . We know total employed 64, we know total men employed 48, and we know total female employed 16.

The question asks for % females from the employed people in the town AND NOT what percent employed women in the total population (16/64 x 100). In the total employed people there are 64 members and in this 64 members there are 16 women.

let the population be 100
so 64 people will be employed
48 percent is male, so 100-48 = 52% is female
52% of 64 is 33.28
So percentage of employed female is 52%

Re: In Town X, 64 percent of the population are employed, and 48 [#permalink]
19 Jan 2014, 04:30

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Re: In Town X, 64 percent of the population are employed, and 48 [#permalink]
19 Jan 2014, 08:53

Expert's post

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%

We are asked to find the percentage of females in employed people.

Total employed people 64%, out of which 48 are employed males, hence 16% are employed females.