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A certain city with a population of 132000 is to be divided

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A certain city with a population of 132000 is to be divided [#permalink] New post 10 Jan 2009, 01:42
A certain city with a population of 132000 is to be divided into 11 voting district, and no district is to have a population that is more that 10% greater that the population of any other district. What is the minimum poissible population that the least populated district could have?

A)10700
B)10200
C)10900
D)11000
E)11100
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Re: source GMATPrep [#permalink] New post 10 Jan 2009, 02:07
Let's say least populated district (say A) has population = x

The maximum any other city can have = x(1+10%) = x(1+1/10) = 11/10x

Now in order for A to have least population, other cities should have equal distribution, which is = 11/10x

Now 1 city has population x and 10 cities have population as 11/10x

so, 1 X x + 10 X 11/10x = 132000 ---> x = 11000

Hence (E) is the answer.

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Re: source GMATPrep [#permalink] New post 10 Jan 2009, 13:11
Shobuz, can you please post the answer ??

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Re: source GMATPrep [#permalink] New post 10 Jan 2009, 14:51
Yes please post answer
Re: source GMATPrep   [#permalink] 10 Jan 2009, 14:51
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A certain city with a population of 132000 is to be divided

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