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# The number of female students in college XYZ in the

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Director
Joined: 17 Dec 2012
Posts: 626
Location: India
The number of female students in college XYZ in the  [#permalink]

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25 Jul 2013, 01:49
1
3
00:00

Difficulty:

45% (medium)

Question Stats:

66% (02:17) correct 34% (02:18) wrong based on 82 sessions

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The number of female students in college XYZ in the previous year was 500. If in the current year the number of male students in XYZ doubled over that of the previous year but the proportion of male students halved, then the number of female students in XYZ in the current year is,

A.125
B.250
C.500
D.1000
E.2000

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Re: The number of female students in college XYZ in the  [#permalink]

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26 Jul 2013, 02:27
Answer = E = 2000
Previous Year
---------------------
Lets say male students = x
Female students = 500
Total = x + 500

Current Year
--------------------
Male students = 2x
Female Students = 500 + y (Say y is the no. of additions of female students this year)
Total = 2x + y + 500

By condition given, 1/2 500/(x+500) = 2x/(2x + y + 500)

Solving the equation, we get female students = 2000.
This can also be done by putting values in male students. Kindly provide any other easy method to solve this
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Re: The number of female students in college XYZ in the  [#permalink]

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26 Jul 2013, 06:08
Here's how i did it.

Last Year : M/F = X
F = 500 => M = 500X

This year Mnew/Fnew = X/2
Mnew = 2M => 2*500X
Hence Fnew = 2*Mnew/X =2000
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Re: The number of female students in college XYZ in the  [#permalink]

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27 Jul 2013, 09:56
SravnaTestPrep wrote:
the proportion of male students halved

Wouldnt questions on gmat be better worded?

I initially considered the proportion of male students to whole to have halved.. If the word proportion were replaced m/f ratio would have made it much easier...
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Re: The number of female students in college XYZ in the  [#permalink]

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28 Jul 2013, 01:19
Transcendentalist wrote:
SravnaTestPrep wrote:
the proportion of male students halved

Wouldnt questions on gmat be better worded?

I initially considered the proportion of male students to whole to have halved.. If the word proportion were replaced m/f ratio would have made it much easier...

I do agree that the way it is worded would make one think harder. Actually I think it is a good thing. Don't you agree?
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Re: The number of female students in college XYZ in the  [#permalink]

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29 Jul 2013, 19:36
2
Solution:

1. Let x be the number of male students last year . Number of female students last year=500. m/f=x/500
2. The number of male students this year is 2x.
3. To maintain the same ratio of m/f, the number of female students also would have doubled. Thus with only this fact taken into account, we have m/f=2*x/2*500 = 2x/1000.
4. The second fact is that the proportion of male to female halved i.e., m/f = 1/2 (2x/1000)= 2x/2000
5. So x has become 2x and 500 has become 2000.

Therefore the number of female students in the current year is 2000.
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Re: The number of female students in college XYZ in the  [#permalink]

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28 Jan 2019, 04:23
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Re: The number of female students in college XYZ in the   [#permalink] 28 Jan 2019, 04:23
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