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# A country's population increased x% in 2011 and then by y% in 2012.

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Intern
Joined: 11 Oct 2017
Posts: 22
A country's population increased x% in 2011 and then by y% in 2012.  [#permalink]

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30 Oct 2017, 15:42
00:00

Difficulty:

45% (medium)

Question Stats:

72% (01:22) correct 28% (02:20) wrong based on 28 sessions

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A country's population increased x% in 2011 and then by y% in 2012. By what percent did the population increase over those two years?

(1) xy = 50

(2) 100x + 100y +xy = 2150

Intern
Joined: 05 Aug 2017
Posts: 27
Location: Viet Nam
Annie: Nguyen
GPA: 3.33
WE: Supply Chain Management (Transportation)
Re: A country's population increased x% in 2011 and then by y% in 2012.  [#permalink]

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30 Oct 2017, 18:22

2010, A country's population is p
-> P(2011)= (100+x)%.p
P(2012)= [(100+x)%.p].(100+y)%
-> Percent of the population increased over those two years= [P(2012)-P(2010)]/P(2010)= [[(100+x)%.p].(100+y)% -p]/p= [(100+x)/100. (100+y)/100]-1= [100(x+y)+xy]/10000
(1)-> insuff bcuz from xy = 50 we dont know x+y
(2) 100x + 100y +xy = 2150 -> 100(x+y) +xy =2150 -> suff
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Math Expert
Joined: 02 Sep 2009
Posts: 50670
Re: A country's population increased x% in 2011 and then by y% in 2012.  [#permalink]

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30 Oct 2017, 19:56
A country's population increased x% in 2011 and then by y% in 2012. By what percent did the population increase over those two years?

(1) xy = 50

(2) 100x + 100y +xy = 2150

Check here: https://gmatclub.com/forum/if-the-price ... 89337.html
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Re: A country's population increased x% in 2011 and then by y% in 2012. &nbs [#permalink] 30 Oct 2017, 19:56
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