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.
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Population
This topic has expert replies
-
sk8ternite
- Master | Next Rank: 500 Posts
- Posts: 119
- Joined: Sun May 10, 2009 7:46 pm
- Thanked: 3 times
- Followed by:1 members
-
kaulnikhil
- Master | Next Rank: 500 Posts
- Posts: 338
- Joined: Fri Apr 17, 2009 1:49 am
- Thanked: 9 times
- Followed by:3 members
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
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
