Source : GMATPrep
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?
I got stumped by the wording.
the answer is D
dividing 132000 by 11=12,000
I am picking answer choices to solve
suppose we take answer choice D. assuming 10 districts have equal population of 12,000 each and the 11th district has population of 11,000
then the remaining 1,000 can be equally divided amongst all the 10 districts.
now each of the 10 districts will have a population of 12,100. this population is exactly 10% of 11,000. if the population of the 11th district goes below 11,000 then the population of other districts will be more than 10% of 11th district.
therefor the minimum possible population that the least populated district can have is 11,000.
what is the OA