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In 2008, a certain factory produced 30% more widgets

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In 2008, a certain factory produced 30% more widgets [#permalink] New post 24 Nov 2012, 07:28
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A
B
C
D
E

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40% (02:43) correct 60% (01:01) wrong based on 12 sessions
In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
A. 30%
B. 39%
C. 41%
D. 69%
E. 169%
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Re: In 2008, a certain factory produced 30% more widgets [#permalink] New post 24 Nov 2012, 11:11
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That would be (C), the thoughts behind my choice set forth below:
Let it be:
2007 - x
2008 - x+0.3x=1.3x
2009 - 1.3x*1.3=1.69x
2010 - (x-1.69x)/1.69x = - 0.69x/1.69x = -0.408~-41%
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Re: In 2008, a certain factory produced 30% more widgets [#permalink] New post 24 Nov 2012, 11:13
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joylive wrote:
In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
A. 30%
B. 39%
C. 41%
D. 69%
E. 169%


Lets assume no. of widgets in 07 = 100
Number of widgets in 08 = 130
Number of widgets in 09 = 169


Decrease required = \frac{169-100}{169} = \frac{69}{169}

= 41%

Answer is C.

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Re: In 2008, a certain factory produced 30% more widgets   [#permalink] 24 Nov 2012, 11:13
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