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The output of a factory was increased by 10% to keep up with

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Intern
Joined: 03 Jan 2006
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The output of a factory was increased by 10% to keep up with [#permalink]  18 Jan 2006, 09:57
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was raised by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

Thanks
Director
Joined: 17 Dec 2005
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Location: Germany
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For those kinds of question assume a certain value ( the original production).

Then account for the new production value.

Take the difference between the new and the original production.

Assume orig. prod.= 100

100 * 1,1 * 1,2 = 132

132 - 100 = 32

That's the percentage the new production has to be decreased in order to restore the original production
.

Sure, we have to make another step.

132 * x/100 = 100

x~24

Last edited by allabout on 18 Jan 2006, 11:06, edited 1 time in total.
Intern
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This question is from princeton review and the answer is 24%.

Senior Manager
Joined: 13 Jun 2005
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24 %

let original output be = 100

10% of 100 = 10.

therefore new output = 110.

20 % 110 = 22

therefore new output = 22 +110 = 132.

now we know that x/100 *132 = 32.

therefore x = 24%

I see that youhave started doing Kaplan.
Senior Manager
Joined: 13 Jun 2005
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oops may be it is PR
Senior Manager
Joined: 05 Jan 2006
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this is easy 1*1.1*1.2 = 1.32 and .32/1.32 ~ 24%
CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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Easy way is

x * 1.1 * 1.2 = 1.32 x

% is (0.32x/1.32x) * 100 = 24%
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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Got some 24, 25 percent.
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