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# The population of state X increases by 10 percent every 10 years. If t

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6526
GMAT 1: 760 Q51 V42
GPA: 3.82
The population of state X increases by 10 percent every 10 years. If t  [#permalink]

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26 Jul 2018, 23:53
00:00

Difficulty:

15% (low)

Question Stats:

78% (00:53) correct 22% (01:08) wrong based on 36 sessions

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[Math Revolution GMAT math practice question]

The population of state X increases by 10 percent every 10 years. If the population in 1990 was P million, how much larger is the population in 2010 than the population in 1990?

A. 0.1*P
B. 1.1*P
C. 0.01*P
D. 0.11*P
E. 0.21*P

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Intern Joined: 11 Jun 2015 Posts: 19 Location: Iran (Islamic Republic of) Concentration: Accounting, Finance WE: Education (Education) Re: The population of state X increases by 10 percent every 10 years. If t [#permalink] ### Show Tags 27 Jul 2018, 00:45 p(1.1)^2=1.21P The answer is E Intern Joined: 30 May 2018 Posts: 9 Re: The population of state X increases by 10 percent every 10 years. If t [#permalink] ### Show Tags 27 Jul 2018, 00:59 Population in 2010 = p*(1.1)^2 = 1.21p Increase = 1.21p-p = 0.21p Posted from my mobile device Director Joined: 31 Oct 2013 Posts: 789 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) The population of state X increases by 10 percent every 10 years. If t [#permalink] ### Show Tags 27 Jul 2018, 01:18 1 [quote="MathRevolution"][Math Revolution GMAT math practice question] The population of state X increases by 10 percent every 10 years. If the population in 1990 was P million, how much larger is the population in 2010 than the population in 1990? A. 0.1*P B. 1.1*P C. 0.01*P D. 0.11*P E. 0.21*P[/quote Population in 1190 = p $$Population in 2010 = (1.1)^2p$$ = 1.21p Difference = 1.21p - p = 0.21p The best answer is E. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6526 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The population of state X increases by 10 percent every 10 years. If t [#permalink] ### Show Tags 29 Jul 2018, 17:36 => The population in $$2010$$ is $$(1.1)^2P$$and the difference between the populations in $$2010$$ and in $$1990$$is $$(1.1)^2P – P = ((1.1)^2 – 1)P = (1.1+1)(1.1-1)P = 2.1*0.1P = 0.21P.$$ Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: The population of state X increases by 10 percent every 10 years. If t &nbs [#permalink] 29 Jul 2018, 17:36
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