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

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The number of club X’s members is increased by 20 percent every year. [#permalink] New post   23 Oct 2017, 02:18
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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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Re: The number of club X’s members is increased by 20 percent every year. [#permalink] New post   23 Oct 2017, 08:42
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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 = \((1.2)^5*m - (1.2)^4*m\)
=\((1.2)^4*m*(1.2-1)\) = \((1.2)^4*m*0.2\)
Answer A.

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Re: The number of club X’s members is increased by 20 percent every year. [#permalink] New post   25 Oct 2017, 02:19
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=>

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

Therefore, the answer is A.

Answer: A
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Re: The number of club X’s members is increased by 20 percent every year. [#permalink] New post   26 Oct 2017, 15:29
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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. \((0.8)4(1.2)^4m\)


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.

Answer: A
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Re: The number of club Xs members is increased by 20 percent every year. [#permalink] New post   11 Apr 2024, 10:17
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Re: The number of club Xs members is increased by 20 percent every year. [#permalink]
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