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A certain city with a population of 132,000

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by guerrero » Thu Oct 17, 2013 4:58 pm
A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?

1. 10,700
2. 10,800
3. 10,900
4. 11,000
5. 11,100

OA D
Last edited by guerrero on Thu Oct 17, 2013 8:10 pm, edited 1 time in total.
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by rakeshd347 » Thu Oct 17, 2013 5:14 pm
guerrero wrote:A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?

1. 10,700
2. 10,800
3. 10,900
4. 11,000
5. 11,100

OA E
Hi Mate,

Are you sure OA is E because I got answer as D.

Here is my explanation.

Let the minimum population be X
population of all other 10 cities will be 1.1x each so total will be 11X.

Now X+11X=132,000
12X=132,000
X=11,000
So the answer is D

I also tried with picking number but got the same answer 11,000.
Please check the OA again.
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by [email protected] » Thu Oct 17, 2013 6:18 pm
Hi guerrero,

rakeshd347's explanation is correct, so there must be a transcription error somewhere. The correct answer IS D.

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by guerrero » Thu Oct 17, 2013 8:11 pm
thanks! I 've edited the answer .
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