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

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Manager
Joined: 13 Sep 2016
Posts: 117
The population of a small beach town on Australia's east coast grows b [#permalink]

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Updated on: 06 Oct 2016, 01:28
2
This post was
BOOKMARKED
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Difficulty:

45% (medium)

Question Stats:

65% (01:25) correct 35% (01:34) wrong based on 145 sessions

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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%

Originally posted by alanforde800Maximus on 04 Oct 2016, 06:28.
Last edited by abhimahna on 06 Oct 2016, 01:28, edited 1 time in total.
Corrected the OA
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Re: The population of a small beach town on Australia's east coast grows b [#permalink]

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04 Oct 2016, 06:45
2
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%

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.
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Intern
Joined: 01 Sep 2016
Posts: 8
Re: The population of a small beach town on Australia's east coast grows b [#permalink]

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04 Oct 2016, 17:11
1
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
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8064
Location: Pune, India
Re: The population of a small beach town on Australia's east coast grows b [#permalink]

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05 Oct 2016, 00:34
1
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%

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%.

Check this post for successive percentage changes: https://www.veritasprep.com/blog/2011/0 ... e-changes/
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Senior Manager Joined: 06 Jun 2016 Posts: 263 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 05 Oct 2016, 00:59 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% Director Joined: 24 Nov 2015 Posts: 564 Location: United States (LA) Re: The population of a small beach town on Australia's east coast grows b [#permalink] ### Show Tags 21 Oct 2016, 03:10 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 Manager Joined: 29 Aug 2008 Posts: 110 The population of a small beach town on Australia's east coast grows b [#permalink] ### Show Tags 21 Oct 2016, 13:40 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 Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2442 Re: The population of a small beach town on Australia's east coast grows b [#permalink] ### Show Tags 14 Dec 2017, 17:52 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 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 11647 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: The population of a small beach town on Australia's east coast grows b [#permalink] ### Show Tags 27 Jan 2018, 12:57 Hi All, This question can be solved either Algebraically or by TESTing VALUES. Here's how you can TEST VALUES to get to the solution: Population on May 1 = 100 Population on June 1 = 100 + (.5)(100) = 150 Population on July 1 = 150 + (.5)(150) = 225 Population on August 1 = 225 - (1/9)(225) = 200 The question asks for the percent increase in population during that time. Percentage Change = (new - old)/old = (200 - 100)/100 = 1/1 = 100% Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: The population of a small beach town on Australia's east coast grows b   [#permalink] 27 Jan 2018, 12:57
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