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Boomtown urban planners expect the city’s population to

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Boomtown urban planners expect the city’s population to [#permalink] New post 03 Mar 2012, 12:57
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Question Stats:

62% (02:43) correct 38% (01:25) wrong based on 86 sessions
Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?

A. 20%
B. 40%
C. 50%
D. 65%
E. 75%

This how I am trying to solve, but I am stuck after this.

If we assume that today’s population is 100, next year it would be 1.1 × 100 = 110, and the following year it would be 1.1 × 110 = 121. If this is double the population of one year ago, the population at that time must have been 0.5 × 121 = 60.5. Because the problem seeks the “closest” answer choice, we can round 60.5 to 60.

Will it be 121-60/60? But this doesn't give me the right answer. Please help.
[Reveal] Spoiler: OA

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Re: Boomtown urban planners expect the city’s population to [#permalink] New post 03 Mar 2012, 13:23
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enigma123 wrote:
Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?

A. 20%
B. 40%
C. 50%
D. 65%
E. 75%

This how I am trying to solve, but I am stuck after this.

If we assume that today’s population is 100, next year it would be 1.1 × 100 = 110, and the following year it would be 1.1 × 110 = 121. If this is double the population of one year ago, the population at that time must have been 0.5 × 121 = 60.5. Because the problem seeks the “closest” answer choice, we can round 60.5 to 60.

Will it be 121-60/60? But this doesn't give me the right answer. Please help.


Population now - 100;
Population one year from now - 110;
Population two years from now - 121;

Since the population two years from now (121) is exactly double the population one year ago then the population one year ago was 121/2=60.5.

Now, the question asks about the population increase over the last year, so from 60.5 (last year) to 100 (now): percent increase=difference/original*100=(100-60.5)/60.5*100=39.5/60.5*100=~2/3*100=~65%.

Answer: D.

Hope it's clear.
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Re: Boomtown urban planners expect the city’s population to [#permalink] New post 09 Apr 2014, 23:52
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Re: Boomtown urban planners expect the city’s population to [#permalink] New post 10 Apr 2014, 01:34
enigma123 wrote:
Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?

A. 20%
B. 40%
C. 50%
D. 65%
E. 75%

This how I am trying to solve, but I am stuck after this.

If we assume that today’s population is 100, next year it would be 1.1 × 100 = 110, and the following year it would be 1.1 × 110 = 121. If this is double the population of one year ago, the population at that time must have been 0.5 × 121 = 60.5. Because the problem seeks the “closest” answer choice, we can round 60.5 to 60.

Will it be 121-60/60? But this doesn't give me the right answer. Please help.



You have the calculation correct till 60.5 but we need the percentage increase of 60.5 to 100.00
=> (100 - 60.5)/60.5 = 65%. even if you round 60.5 to 60 you will reach the correct answer.
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Re: Boomtown urban planners expect the city’s population to [#permalink] New post 14 Apr 2014, 00:26
Look at the table below:

Percentage increase

= 40 * \frac{100}{60}

= 66.66

Answer = D
Attachments

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per.jpg [ 23.63 KiB | Viewed 583 times ]


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Re: Boomtown urban planners expect the city’s population to   [#permalink] 14 Apr 2014, 00:26
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