GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2019, 19:18

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post Updated on: 04 Dec 2017, 03:24
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (02:13) correct 34% (02:34) wrong based on 285 sessions

HideShow timer Statistics

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

_________________

Originally posted by Bunuel on 21 Apr 2017, 07:45.
Last edited by Bunuel on 04 Dec 2017, 03:24, edited 1 time in total.
Edited the question.
Most Helpful Community Reply
Senior Manager
Senior Manager
avatar
G
Joined: 24 Apr 2016
Posts: 321
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 21 Apr 2017, 10:45
2
3
Let number of Male players in 2015 = 100M
Let number of Female players in 2015 = 100F

Total number of players in 2015 = 100(M+F)

Given: the number of players increased by 10 percent between 2015 and 2016

Total number of players in 2016 = 100(M+F) * 1.1 = 110(M+F)

Given: number of male players decreased by 5 percent

Total number of Male players in 2016 = 0.95 * 100M = 95M

Given: number of female players increased by 15 percent

Total number of Female players in 2016 = 1.15 * 100F = 115F

Therefore

95M+115F = 110(M+F) = 110M+110F

5F = 15M
F = 3M
F/M = 3/1

Answer is E. 3:1
General Discussion
Intern
Intern
avatar
S
Joined: 29 Jan 2017
Posts: 42
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 17 Jun 2017, 17:06
2
Overall average +10%
Female +15% (difference of 5)
Male -5% (different of 15)

-5%-----------10%----15%
M-------------Avg-----F
5:15

Question asks F:M so answer is 3:1 (E)
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 742
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 17 Jun 2017, 21:03
2
Bunuel 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 2016?

A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1


Total number of players in 2015 = Men + Women \(= m + w\)

Total number of players increased by 10% in 2016 = 110% of (m + w) = \(\frac{110}{100} * (m + w) = 1.10 (m + w)\)

Number of male players decreased by 5% in 2016 = 95% of m = \(\frac{95}{100} * m = 0.95m\)

Number of female players increased by 15% in 2016 = 115% of w = \(\frac{115}{100} * w = 1.15w\)


Total number of players in 2016 is as given;

\(1.10(m + w) = 0.95m + 1.15w\)

\(1.10m + 1.10w = 0.95m + 1.15w\)

\(1.10m - 0.95m = 1.15w - 1.10w\)

\(0.15m = 0.05w\)

\(\frac{w}{m} = \frac{0.15}{0.05} = \frac{15}{5} = \frac{3}{1}\)

Required ratio of Female to Male players in 2016 \(= 3:1\) . Answer (E)...
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3332
Location: India
GPA: 3.12
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 17 Jun 2017, 23:57
Assume total number of players to be 1200(in 2015)
Since there is an increase of 10% in 2016, the number of players will be 1320
We have the increase of female players as 15% over the previous year
and the decrease of male players as 5% over the previous year.
Since evaluating the answer options, containing the ratio of female to male players :

Option A(1:3)
Initial Split : 900-Male,300-Female Total : 1200
Final Split : Male : 900-5%(45) = 855, Female: 300+15%(45) = 345 Total : 1200(not equal to 1320)

Option B(1:2)
Initial Split : 800-Male,400-Female Total : 1200
Final Split : Male : 800-5%(40) = 760, Female: 400+15%(60) = 460 Total : 1220(not equal to 1320)

Option C(3:2)
Initial Split : 480-Male,720-Female Total : 1200
Final Split : Male : 480-5%(24) = 456, Female: 720+15%(108) = 828 Total : 1284(not equal to 1320)

Option D(2:1)
Initial Split : 400-Male,800-Female Total : 1200
Final Split : Male : 400-5%(20) = 380, Female: 800+15%(120) = 920 Total : 1200(not equal to 1320)

Option E(3:1)
Initial Split : 300-Male,900-Female Total : 1200
Final Split : Male : 300-5%(15) = 285, Female:900+15%(135) = 1035 Total : 1320
Hence Option E is the correct answer option.
_________________
You've got what it takes, but it will take everything you've got
Senior Manager
Senior Manager
User avatar
G
Joined: 03 Apr 2013
Posts: 264
Location: India
Concentration: Marketing, Finance
GMAT 1: 740 Q50 V41
GPA: 3
GMAT ToolKit User
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 02 Dec 2017, 06:33
1
Bunuel 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 2016?

A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1


Bunuel
VeritasPrepKarishma

Hi, don't you think 3:1 is the ratio of female to male in 2015, and not in 2016?

Please confirm.
_________________
Spread some love..Like = +1 Kudos :)
Intern
Intern
avatar
B
Joined: 28 Apr 2017
Posts: 36
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 03 Dec 2017, 02:37
1
Yes that's my question The ratio mentioned in the options and calculated by everyone is for 2015. ratio for 2016 should be (115*3)/95
Intern
Intern
avatar
B
Joined: 26 Oct 2017
Posts: 25
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 03 Dec 2017, 03:18
1
In 2015:
Let total be 100
No of males =x
No of females =100-x

In 2016
Total =110
Males =0.95x
Females =1.15(100-x)

0.95x + 1.15(100-x)=110

X=25

Now what is asked-

Females / males =0.95*25/1.15*75

Where I am going wrong
Bunuel?


Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 04 Dec 2017, 03:27
Bunuel 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


Edited the question. It asks about the ration in 2015.

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 \(\frac{f}{m}=\frac{0.15}{0.05}=\frac{3}{1}\).

Answer: E.
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13417
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 23 Jan 2019, 02:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: At a certain soccer club, the number of players increased by 10 percen   [#permalink] 23 Jan 2019, 02:07
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne