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

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VP
Joined: 05 Mar 2015
Posts: 1004
In Town X, 64 percent of the population are employed, and 48  [#permalink]

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10 Apr 2016, 04:15
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%

Plz anyone clear my highlighted confusion "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?"

although i got 16 females were employed but what about rest 36% of population.
.

if it was written "What percent of the employed people in Town X are employed female" then i will consider 16/64...

Plz clear my doubt...
thanx...
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Re: In Town X, 64 percent of the population are employed, and 48  [#permalink]

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03 May 2016, 10:34
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%

Let's use a convenient value for the total number of people in town X. Since this is a percent problem, 100 is an easy number to use. If there are 100 people in the town, we know:

100 x 0.64 = 64 = total employed

100 x 0.48 = 48 = employed males

Thus, 64 – 48 = 16 employed females

Now let's solve for the percent of employed people in town X who are females.

[(Employed Females)/(Total Employed)] x 100 = 16/64 x 100

¼ x 100 = 25%

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

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25 May 2016, 20:52
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-25 at 9.43.34 PM.png [ 150.16 KiB | Viewed 1065 times ]

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

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26 May 2016, 03:18
Bunuel 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%

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.

(employed females)/(total employed people)=16/64=1/4=25%

but female may be including unemployed females, the number of which we do not know. then how can we find the %.
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Joined: 02 Sep 2009
Posts: 51121
In Town X, 64 percent of the population are employed, and 48  [#permalink]

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26 May 2016, 03:33
robu wrote:
Bunuel 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%

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.

(employed females)/(total employed people)=16/64=1/4=25%

but female may be including unemployed females, the number of which we do not know. then how can we find the %.

You should read a question and solution carefully.

Given:
64 employed people (employed females + employed males = 64);
Out of 64 employed people, there are 48 employed males, thus employed females = total employed - employed males = 64 - 48 = 16.

(employed females)/(total employed people)=16/64=1/4=25%
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In Town X, 64 percent of the population are employed, and 48  [#permalink]

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26 May 2016, 04:14
Attachment:

Percentage Table.JPG [ 17.37 KiB | Viewed 1034 times ]

First prepare a table like above.

Given information is shaded in yellow. Let the total population is x. Then the total employed will be 0.64x.

Also given: Employed males are 0.48 x. This will also be entered as shown above.

Now we can easily calculate the employed females The value works out to (0.64 x - 0.48x = 0.16x)

We are simply asked: what is $$\frac{0.16x}{0.64x}$$ in percentage terms.

$$\frac{16}{64}$$ is nothing but $$\frac{1}{4}$$ = 25%

Option B is the correct answer.
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In Town X, 64 percent of the population are employed, and 48  [#permalink]

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13 Jun 2016, 05:25
Solving the problem using tree structure
Attachments

Solution.png [ 33.16 KiB | Viewed 983 times ]

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

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13 Jun 2016, 05:29
1
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%

Reading question carefully is the key here

'What percent of the employed people in Town X are females' and not 'what percent of the total are employed females.

Out of 64 employed people, 48 are males. Hence, 16 are females.

16 is 100*16/64= 25% of the employed people.

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

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14 Oct 2016, 04:57
1
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%

Let's use a convenient value for the total number of people in town X. Since this is a percent problem, 100 is an easy number to use. If there are 100 people in the town, we know:

100 x 0.64 = 64 = total employed

100 x 0.48 = 48 = employed males

Thus, 64 – 48 = 16 employed females

Now let's solve for the percent of employed people in town X who are females.

[(Employed Females)/(Total Employed)] x 100 = 16/64 x 100

¼ x 100 = 25%

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

VP
Joined: 09 Mar 2016
Posts: 1215
Re: In Town X, 64 percent of the population are employed, and 48  [#permalink]

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09 May 2018, 11:37
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%

let total popoluation be X
let total population be 100
hence --->
64 people are employed
48 are employed

employed females 64-48=16

$$\frac{16}{64}$$ * $$100%$$ = $$25%$$
Re: In Town X, 64 percent of the population are employed, and 48 &nbs [#permalink] 09 May 2018, 11:37

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