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# In a certain town, 2/5 of the total population is employed. Among the

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Math Expert
Joined: 02 Sep 2009
Posts: 49303
In a certain town, 2/5 of the total population is employed. Among the  [#permalink]

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19 Aug 2018, 09:22
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Difficulty:

25% (medium)

Question Stats:

88% (01:37) correct 13% (02:19) wrong based on 16 sessions

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In a certain town, $$\frac{2}{5}$$ of the total population is employed. Among the unemployed population, the ratio of males to females is 5 : 7. If there are 40,000 employed people in the town, how many females are unemployed?

(A) 16,000
(B) 25,000
(C) 35,000
(D) 65,000
(E) 75,000

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Re: In a certain town, 2/5 of the total population is employed. Among the  [#permalink]

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19 Aug 2018, 11:07
Bunuel wrote:
In a certain town, $$\frac{2}{5}$$ of the total population is employed. Among the unemployed population, the ratio of males to females is 5 : 7. If there are 40,000 employed people in the town, how many females are unemployed?

(A) 16,000
(B) 25,000
(C) 35,000
(D) 65,000
(E) 75,000

'
Let the total population be n.
Given , $$\frac{2}{5}$$ of the total population is employed
Or, 40000/n=2/5
Or, n=100000

#unemployed people=100000-40000=60000

#female who are unemployed=60000*($$\frac{7}{7+5}$$)=60000*$$\frac{7}{12}$$=35000

Ans. (C)
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Re: In a certain town, 2/5 of the total population is employed. Among the &nbs [#permalink] 19 Aug 2018, 11:07
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