Q: 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 poulated district could have?
A: 10,700
B: 10,800
C: 10,900
D: 11,000
E: 11,100
Could someone explain if there is an easy method to solve this? I tried the tedious plug in method to arrive at the answer.
The answer is D.
Word Problem on Percents - source: GmatPrep
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This is how I go about problems which have maxima and minima questions.
Its asking for minimum, so maximise all of the other.
Lets say the town A with minimum possible population is ---> x
So
x + ( maximize all the other 10 districts ) = 132000
The max the each of the 10 districts can have are 1.1x (more than 10 percent greater)
so
x + 1.1(10) = 132000
12x= 132000
x= 11000
Please share if there is any other way to solve this faster.
Its asking for minimum, so maximise all of the other.
Lets say the town A with minimum possible population is ---> x
So
x + ( maximize all the other 10 districts ) = 132000
The max the each of the 10 districts can have are 1.1x (more than 10 percent greater)
so
x + 1.1(10) = 132000
12x= 132000
x= 11000
Please share if there is any other way to solve this faster.
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hey neeraj,
Just wanted to be sure. If this question asked " What is the maximum possible population that the most poulated district could have?" how would your approach be?
Thanks
Just wanted to be sure. If this question asked " What is the maximum possible population that the most poulated district could have?" how would your approach be?
Thanks
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Q: 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 maximum [/b]possible population that the populated district could have?
i guess the answer would be then
1.1*x
11000 * 1.1 =
12100
i guess the answer would be then
1.1*x
11000 * 1.1 =
12100