It is currently 21 Jan 2018, 06:59

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The population of a small beach town on Australia's east coast grows b

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

Hide Tags

Manager
Manager
avatar
Joined: 13 Sep 2016
Posts: 101

Kudos [?]: 99 [0], given: 320

The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 04 Oct 2016, 05:28
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (01:35) correct 34% (01:47) wrong based on 101 sessions

HideShow timer Statistics

The population of a small beach town on Australia's east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1?

a) 50%
b) 90%
c) 100%
d) 200%
e) 225%

Please assist with above problem.
[Reveal] Spoiler: OA

Last edited by abhimahna on 06 Oct 2016, 00:28, edited 1 time in total.
Corrected the OA

Kudos [?]: 99 [0], given: 320

2 KUDOS received
Board of Directors
User avatar
V
Status: Aiming MBA
Joined: 18 Jul 2015
Posts: 3005

Kudos [?]: 1069 [2], given: 74

Location: India
Concentration: Healthcare, Technology
GPA: 3.65
WE: Information Technology (Health Care)
Premium Member Reviews Badge
Re: The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 04 Oct 2016, 05:45
2
This post received
KUDOS
alanforde800Maximus wrote:
The population of a small beach town on Australia's east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1?

a) 50%
b) 90%
c) 100%
d) 200%
e) 225%

Please assist with above problem.


Are we sure OA marked is correct?

I solved this way :

Let the population in May = 2x
June = 3x
July = 4.5x

July = 8/9 * 4.5x = 4x(Note : 11.11% is 1/9, so left over would be 8/9)

Thus , change from May to Aug = 2x, which is 100% of the original. Hence, I marked C.

Please let me know where am I missing.
_________________

How I improved from V21 to V40! ?


How to use this forum in THE BEST way?

Kudos [?]: 1069 [2], given: 74

1 KUDOS received
Intern
Intern
avatar
B
Joined: 01 Sep 2016
Posts: 9

Kudos [?]: 1 [1], given: 40

Re: The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 04 Oct 2016, 16:11
1
This post received
KUDOS
This is not right,

1.5 * 1.5 * 0.989 * x ~ 2,22x

2,22x is a 122% increase, so the best option is C

Kudos [?]: 1 [1], given: 40

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7869

Kudos [?]: 18497 [1], given: 237

Location: Pune, India
Re: The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 04 Oct 2016, 23:34
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
alanforde800Maximus wrote:
The population of a small beach town on Australia's east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1?

a) 50%
b) 90%
c) 100%
d) 200%
e) 225%

Please assist with above problem.


PopAug1 = PopMay1 * (3/2) * (3/2) * (8/9) = PopMay1 * 2

Population of August is twice the population of May. So it has grown by 100%.

Answer (C)

Check this post for successive percentage changes: https://www.veritasprep.com/blog/2011/0 ... e-changes/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 18497 [1], given: 237

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 06 Jun 2016
Posts: 263

Kudos [?]: 55 [1], given: 212

Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 04 Oct 2016, 23:59
1
This post received
KUDOS
Say the population was 100 to begin with
From May 1 to June 1 it increased by 50% i.e., population now is 150.
From June 1 to July 1 again it increased by 50% i.e., population now is 150+75= 225
Population decreased by 11.11% from July 1 to august 1 i.e., 225*(8/9)=200
% change in population from April 1 to August 1 is {(200-100)/100}*100= 100%

Kudos [?]: 55 [1], given: 212

1 KUDOS received
Director
Director
User avatar
S
Joined: 24 Nov 2015
Posts: 584

Kudos [?]: 44 [1], given: 231

Location: United States (LA)
Reviews Badge
Re: The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 21 Oct 2016, 02:10
1
This post received
KUDOS
consider the population of beach town on 1 st may be 100
on 1 st june it increased by 50 % so the population is 1.5 * 100 = 150
on 1 st july it increased by another 50 % = 1.5 * 150 = 225
on 1 st august it decresed by 11.11 % or it became \(\frac{8}{9}\) of its value

so \(\frac{8}{9}\) * 225 = 200

clearly its a 100 % increase
correct answer - C

Kudos [?]: 44 [1], given: 231

Manager
Manager
avatar
Joined: 29 Aug 2008
Posts: 111

Kudos [?]: 51 [0], given: 284

The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 21 Oct 2016, 12:40
We can do this using successive percentage change formula.

If there is a change of a% followed by b% the overall change = a + b + ab/100 (in case of decrease use -a etc)

First change 50% and then another 50% increase

50 + 50 + 50*50/100 = 125%


Now we can pair this 125% and -11.11%

125 - 11.11 - 125*11.11/100

which will be approx 100%

HTH

Kudos [?]: 51 [0], given: 284

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1821

Kudos [?]: 1050 [0], given: 5

Re: The population of a small beach town on Australia's east coast grows b [#permalink]

Show Tags

New post 14 Dec 2017, 16:52
alanforde800Maximus wrote:
The population of a small beach town on Australia's east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1?

a) 50%
b) 90%
c) 100%
d) 200%
e) 225%


We can let the initial population = n.

After the town grows by 50%, then another 50%, and then decreases by 11.11%, we have:

n(3/2)(3/2)(8/9) = 72n/36 = 2n

Let’s determine the percentage increase:

(2n - n)/n x 100 = n/n x 100 = 100%

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

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

Kudos [?]: 1050 [0], given: 5

Re: The population of a small beach town on Australia's east coast grows b   [#permalink] 14 Dec 2017, 16:52
Display posts from previous: Sort by

The population of a small beach town on Australia's east coast grows b

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.