In the first half of the 20th century, the population of a : GMAT Problem Solving (PS)
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# In the first half of the 20th century, the population of a

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Intern
Joined: 18 Oct 2012
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In the first half of the 20th century, the population of a [#permalink]

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19 Oct 2012, 02:00
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Question Stats:

51% (01:56) correct 49% (00:39) wrong based on 118 sessions

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In the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century, the population increased by 300 percent. What was the percent increase for the 20th century as a whole?

(A) 500%
(B) 600%
(C) 800%
(D) 1100%
(E) 1200%

The question is from MBA Center GMAT Study Book.
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Oct 2012, 02:23, edited 1 time in total.
Renamed the topic.
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19 Oct 2012, 02:19
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Anichka wrote:
In the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century, the population increased by 300 percent. What was the percent increase for the 20th century as a whole?

(A) 500%
(B) 600%
(C) 800%
(D) 1100%
(E) 1200%

Could you explain why the correct answer is (D)?

The question is from MBA Center GMAT Study Book.

Thank you!

Say initially population was 100.

What is 200% of 100? It is 200/100 * 100 = 200.
An increase of 200% means the new population became 100 + 200 = 300

What is 300% of 300? It is 300/100 * 300 = 900
An increase of 300% means the new population now is 300 + 900 = 1200

So from 100, the population increased to 1200 i.e. an increase of 1100.

1100 is what percent of 100?

1100 = x/100 * 100

i.e. it is 1100%
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16 Jul 2014, 09:15
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Re: In the first half of the 20th century, the population of a [#permalink]

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08 Aug 2016, 21:06
This question plays some tricks. It is important to keep track.
let that number be 100. In the first half this increases by 200%. A 200% percent increase means an increase of 200% * 100 = 200. The new number is 300. From here we need to increase by 300%.
So the new increase is 3*100% *300 = 900. The final number by the end of 20th century is 900+300= 1200. From the start this represents a
increase by (1200-100)/100 => 11 times . Expressing this in % means multiply this by 100 . This is 1100% increase
Re: In the first half of the 20th century, the population of a   [#permalink] 08 Aug 2016, 21:06
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