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

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

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New post 27 Jul 2018, 00:53
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A
B
C
D
E

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  15% (low)

Question Stats:

79% (00:58) correct 21% (00:52) wrong based on 28 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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Re: The population of state X increases by 10 percent every 10 years. If t  [#permalink]

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New post 27 Jul 2018, 01:45
p(1.1)^2=1.21P
The answer is E
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Re: The population of state X increases by 10 percent every 10 years. If t  [#permalink]

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New post 27 Jul 2018, 01:59
Population in 2010
= p*(1.1)^2 = 1.21p
Increase = 1.21p-p = 0.21p

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

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New post 27 Jul 2018, 02:18
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[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.
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Re: The population of state X increases by 10 percent every 10 years. If t  [#permalink]

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New post 29 Jul 2018, 18:36
=>
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
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Re: The population of state X increases by 10 percent every 10 years. If t &nbs [#permalink] 29 Jul 2018, 18:36
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