Population

[sk8ternite]

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

Answer is d. Please explain.

[kaulnikhil]

to obtain minimum population the other 10 cities must have maximum population ..
let the minimum population be x for city 1
the max population will be 1.1x
so we have x+(1.1x)*10 = 132000
x = 11000