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

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Intern
Joined: 25 Dec 2008
Posts: 41

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A certain city with a population of 132000 is to be divided [#permalink]

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10 Jan 2009, 02:42
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Manager
Joined: 28 Jul 2004
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Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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10 Jan 2009, 03:07
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

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kris

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Manager
Joined: 28 Jul 2004
Posts: 136

Kudos [?]: 74 [0], given: 2

Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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10 Jan 2009, 14:11
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kris

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10 Jan 2009, 15:51

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Re: source GMATPrep   [#permalink] 10 Jan 2009, 15:51
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