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# At a certain soccer club, the number of players increased by 10 percen

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Intern
Joined: 23 Mar 2017
Posts: 7
At a certain soccer club, the number of players increased by 10 percen [#permalink]

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Updated on: 04 Dec 2017, 03:29
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Difficulty:

55% (hard)

Question Stats:

59% (02:07) correct 41% (01:42) wrong based on 32 sessions

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At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?
A) 1:3
B) 1:2
C) 3:2
D) 2:1
E) 3:1

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-a-certain-soccer-club-the-number-of-players-increased-by-10-percen-238615.html

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Originally posted by helloSimba on 20 Apr 2017, 12:46.
Last edited by Bunuel on 04 Dec 2017, 03:29, edited 3 times in total.
Edited the question.
Manager
Joined: 25 Apr 2016
Posts: 60
Re: At a certain soccer club, the number of players increased by 10 percen [#permalink]

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20 Apr 2017, 12:54
let no. male players be x and female players be y
as per the question stem : x*95/100+y*115/100 = (x+y)*110/100 => y/x =3/1 -> option E
Intern
Joined: 23 Mar 2017
Posts: 7
Re: At a certain soccer club, the number of players increased by 10 percen [#permalink]

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20 Apr 2017, 13:28
attari92 wrote:
let no. male players be x and female players be y
as per the question stem : x*95/100+y*115/100 = (x+y)*110/100 => y/x =3/1 -> option E

Isnt this the ratio of 2015 not 2016?
Manager
Joined: 25 Apr 2016
Posts: 60
Re: At a certain soccer club, the number of players increased by 10 percen [#permalink]

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20 Apr 2017, 22:43
attari92 wrote:
let no. male players be x and female players be y
as per the question stem : x*95/100+y*115/100 = (x+y)*110/100 => y/x =3/1 -> option E

Isnt this the ratio of 2015 not 2016?

Even the increase no. would drift with the same ratio cause we are considering an overall increase in the same exact proportion. We can't ascertain a ratio with the conditional part of a question stem and it was mentioned only to manipulate it further. Assume total to be 100; let x and y part be 30 and 70. Now, an overall increase of 10% will also let x and y part to go up by 3 and 7 respectively and not to mention that the ratio doesn't change.
Math Expert
Joined: 02 Sep 2009
Posts: 47019
Re: At a certain soccer club, the number of players increased by 10 percen [#permalink]

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04 Dec 2017, 03:28
helloSimba wrote:
At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?
A) 1:3
B) 1:2
C) 3:2
D) 2:1
E) 3:1

Veritas Prep Official Solution:

We can solve this one with the weighted average mapping strategy or with algebra. For the mapping strategy:

-5%...............10%......15%

M..........15...........5......F

This gives us a female:male ratio of 15:5, or 3:1.

To solve algebraically, we can set up the following equation:
$$1.1(f+m)=1.15f+.95m$$. By manipulating, we can get to $$0.15m =0.05f$$, or $$\frac{f}{m}=\frac{0.15}{0.05}=\frac{3}{1}$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-a-certain-soccer-club-the-number-of-players-increased-by-10-percen-238615.html

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: At a certain soccer club, the number of players increased by 10 percen   [#permalink] 04 Dec 2017, 03:28
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