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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
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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, 01:18
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Difficulty:

55% (hard)

Question Stats:

60% (01:34) correct 40% (02:25) wrong based on 50 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. $$(0.8)4(1.2)^4m$$
[Reveal] Spoiler: OA

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Re: The number of club X’s members is increased by 20 percent every year. [#permalink]

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23 Oct 2017, 07:42
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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 = $$(1.2)^5*m - (1.2)^4*m$$
=$$(1.2)^4*m*(1.2-1)$$ = $$(1.2)^4*m*0.2$$

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Kudos [?]: 134 [0], given: 378

Math Revolution GMAT Instructor
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Kudos [?]: 3145 [0], given: 0

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Re: The number of club X’s members is increased by 20 percent every year. [#permalink]

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25 Oct 2017, 01:19
=>

(1.2)^5m – (1.2)^4m = (1.2)^4m(1.2-1) = (0.2)(1.2)^4m

Therefore, the answer is A.

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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, 14:29
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.   [#permalink] 26 Oct 2017, 14:29
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# The number of club X’s members is increased by 20 percent every year.

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