Question

A certain city with 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

Answer 1

Answer: Therefore, Option 'D' is correct.

Explanation:

Since we have given that

Number of population = 132000

Number of voting districts = 11

According to question, no district is to have a population that is more than 10 percent greater than the population of any other district.

Let the number of population that the least populated district could have be 'x'.

So, it becomes,

`x+10(1.1x)=132000\\\\x+11x=13200\\\\12x=132000\\\\x=(132000)/(12)\\\\x=11000`

Hence, there are 11000 population that the least populated district could have.

Therefore, Option 'D' is correct.