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# The number of club X’s members is increased by 20 percent every year.

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6227
GMAT 1: 760 Q51 V42
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The number of club X’s members is increased by 20 percent every year.  [#permalink]

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23 Oct 2017, 02:18
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Difficulty:

45% (medium)

Question Stats:

64% (01:37) correct 36% (02:15) wrong based on 66 sessions

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[GMAT math practice question]

The number of club X’s members is increased by 20 percent every year. If the number of members of the club X in 2000 was m, how many number of members in 2005 are greater than that of members in 2004?

A. $$(0.2)(1.2)^4m$$
B. $$(0.8)(1.2)^4m$$
C. $$(0.2)(1.2)^5m$$
D. $$(0.8)(1.2)^5m$$
E. $$(0.8)4(1.2)^4m$$

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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" Ask GMAT Experts Forum Moderator Status: Preparing for GMAT Joined: 25 Nov 2015 Posts: 927 Location: India GPA: 3.64 Re: The number of club X’s members is increased by 20 percent every year. [#permalink] ### Show Tags 23 Oct 2017, 08:42 1 MathRevolution wrote: [GMAT math practice question] The number of club X’s members is increased by 20 percent every year. If the number of members of the club X in 2000 was m, how many number of members in 2005 are greater than that of members in 2004? A. $$(0.2)(1.2)^4m$$ B. $$(0.8)(1.2)^4m$$ C. $$(0.2)(1.2)^5m$$ D. $$(0.8)(1.2)^5m$$ E. $$(0.8)4(1.2)^4m$$ No. of members in 2000 = m No. of members in 2005 = $$(1.2)^5*m$$ No. of members in 2004 = $$(1.2)^4*m$$ No. of members in 2005 greater than members in 2004 = $$(1.2)^5*m - (1.2)^4*m$$ =$$(1.2)^4*m*(1.2-1)$$ = $$(1.2)^4*m*0.2$$ Answer A. Please give kudos, if u liked my post! _________________ Please give kudos, if you like my post When the going gets tough, the tough gets going... Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6227 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The number of club X’s members is increased by 20 percent every year. [#permalink] ### Show Tags 25 Oct 2017, 02:19 => (1.2)^5m – (1.2)^4m = (1.2)^4m(1.2-1) = (0.2)(1.2)^4m Therefore, the answer is A. Answer: A _________________ 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 number of club X’s members is increased by 20 percent every year.  [#permalink]

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26 Oct 2017, 15:29
MathRevolution wrote:
[GMAT math practice question]

The number of club X’s members is increased by 20 percent every year. If the number of members of the club X in 2000 was m, how many number of members in 2005 are greater than that of members in 2004?

A. $$(0.2)(1.2)^4m$$
B. $$(0.8)(1.2)^4m$$
C. $$(0.2)(1.2)^5m$$
D. $$(0.8)(1.2)^5m$$
E. $$(0.8)4(1.2)^4m$$

Since in 2000 the number of members was m, the number of members in 2001 = 1.2m; in 2002 = (1.2^2)m; in 2003 = (1.2^3)m; in 2004 = (1.2^4)m; and in 2005 = (1.2^5)m.

Thus, there were (1.2^5)m - (1.2^4)m = (1.2^4)m(1.2 - 1) = (1.2^4)m(0.2) more members in 2005 than in 2004.

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Re: The number of club X’s members is increased by 20 percent every year. &nbs [#permalink] 26 Oct 2017, 15:29
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