Math Problem from mba.com - Can anyone help me solve it?

[mya070]

Hi all! I got a math problem I could not solve when sitting one of tha mba.com CATs. It would be great if somebody could help me out with it! Here is the problem:

City X has a population of 132 000. If the population is to be devided in 11 voting districts, and no district is to have a population that is greater than 10% of the population of any other city district, what is the minimum possible popuation that the least population district could have?

Anwer: 11 000

But how do we get the answer?? :?:

[atulgoel4u]

Let us assume Least Population district has x people
Maximum population possible for a district is x +0.1x=1.1x
x will be least if the population of remaining 10 districts is equal and maximum, => x + 10(1.1x)=132000; 12x = 132000; x= 11000

[mya070]

Great! Thank you!

[tim]

:)