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# The population of city n is 100,000 greater than the population of cit

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The population of city n is 100,000 greater than the population of cit  [#permalink]

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17 Nov 2018, 10:27
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Difficulty:

85% (hard)

Question Stats:

33% (02:01) correct 67% (01:46) wrong based on 46 sessions

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GMATbuster's Weekly Quant Quiz#9 Ques 10

The population of city n is 100,000 greater than the population of city m. If both cities Increase in population by x percent in a given year, now much greater is the population of city n than the population of city m after the Increase?
1) x=10
2) The original population of city m was $$\frac{10}{11}$$ of the original population of city n.

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Re: The population of city n is 100,000 greater than the population of cit  [#permalink]

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17 Nov 2018, 10:42
n = 100,000 + m

n and m increase by x percent which can be written as n*(1 + (x/100)) and m*(1 + (x/100)).

Stmt 1: x = 10, so, increases are n(1.1) and m(1.1), so n*(1.1) = (100,000 + m)*(1.1) = 110,000 + m*(1.1), so difference after increased populations can be found. Hence Sufficient.

Stmt 2: m = (10/11)*n
So, n = 100,000 + (10/11)*n which means, we can solve for n and m. However, questions asks about difference in populations after x percent increase, and there is no information about x in this statement. Hence Insufficient.

Hence Option A
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Re: The population of city n is 100,000 greater than the population of cit  [#permalink]

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17 Nov 2018, 11:46
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A) Sufficient, since value of x is given
B)Not sufficient. X does not have a unique value.
IMO: OPTION A
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Re: The population of city n is 100,000 greater than the population of cit  [#permalink]

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18 Nov 2018, 19:13
Re: The population of city n is 100,000 greater than the population of cit   [#permalink] 18 Nov 2018, 19:13
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