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by val1e » Mon Dec 13, 2010 2:13 pm
A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a 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?

a. 10,700
b. 10,800
c. 10,900
d. 11,000
e. 11,100
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by goyalsau » Mon Dec 13, 2010 4:25 pm
val1e wrote:A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a 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?

a. 10,700
b. 10,800
c. 10,900
d. 11,000
e. 11,100
if we need to distribute population in 11 districts and one city should have the least possible under the 10% condition.
then there should not be any difference in the population of remaining cities, Then only that city have the least population

Let x be the population of district with least population

x + 1.1 ( 10 ) x = 132,00, { on solving this }

x = 11,000

This problem can be done with plug in answer choices as well, ( Important thing to consider that the population of the remaining 10 cities will be equal }
Saurabh Goyal
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