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Boomtown urban planners expect the citys population to

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Boomtown urban planners expect the citys population to [#permalink] New post 04 Nov 2007, 06:27
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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?
20%
40%
50%
65%
75%
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 [#permalink] New post 04 Nov 2007, 06:30
Ok what i've gotten so far is :


today population is say = 100
year 1 = 100 * 10/10 = 110
year 2 = 110 * 10/100 = 110 + 11 = 121

If year 2 is double year one so year one is 121/2 = 60 approx.

The percent population increase from last year would be = 60 - 120/60 ??

Please help?
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 [#permalink] New post 04 Nov 2007, 06:37
Beckee, how did you get that 100?. please explain. I think you are right.
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 [#permalink] New post 04 Nov 2007, 06:39
alimad wrote:
Beckee, how did you get that 100?. please explain. I think you are right.


we are looking at the current year and not two years from now. please confirm :) thanks!
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 [#permalink] New post 04 Nov 2007, 06:44
Ok this is confusing :

Which of the following is closest to the percent population increase in Boomtown over the last year?

so if this is in reference to the current year. then current year = 100
the new year = 60 , 100 - 60 = 40 would be a population decrease.

What am i missing here. ?
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 [#permalink] New post 04 Nov 2007, 06:49
alimad wrote:
Ok this is confusing :

Which of the following is closest to the percent population increase in Boomtown over the last year?

so if this is in reference to the current year. then current year = 100
the new year = 60 , 100 - 60 = 40 would be a population decrease.

What am i missing here. ?


last year: 60
this year: 100
next year: 1.1
2 years: 1.21

(change of this year-last year) / this year
100-60 / 100 = 40% increase
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Re: Populationg - PS [#permalink] New post 04 Nov 2007, 10:21
alimad 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?
20%
40%
50%
65%
75%


let X be the population now. So 2yrs it will be 1.21x

Lets say X=100

so 2yrs from now 1.21(100)--> 121

Now 1 yr ago from when the population was 100 it was 121/2 = 60.5 or ~60

1 yr later (Now) its 100. So 100-60/60 = a bit less than 2/3 (b/c of 60.5).

So D is the closest and therefore the answer.
Re: Populationg - PS   [#permalink] 04 Nov 2007, 10:21
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