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Percentage problem - My answer is difF from princeton's

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Intern
Joined: 07 Jun 2009
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14 Jun 2009, 07:40
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The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

Lets assume that the output is 100%. Hence the first increase results in 110% and the second increase results in 132%. Hence the decrease has to be 32%..Am i correct? Princeton says 24%. So where am i going wrong?

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Joined: 30 May 2009
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14 Jun 2009, 08:09
Let original output = X
After 10% increase the output = 1.1*X
After 20% increase on the new output, the final output = 1.2*1.1*X = 1.32*X

Now we have to find how much this final output must be reduced to arrive at the original output, which is X

So %reduction = [(1.32X - X)/1.32X] * 100 = [0.32/1.32] * 100 = 24%

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Intern
Joined: 07 Jun 2009
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14 Jun 2009, 10:29
Hey sdrandom, Thanks dude....that was my weakness, silly mistake. But thank God, I have few more months to go before i crack my GMAT. Thanks again

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Re: Percentage problem - My answer is difF from princeton's   [#permalink] 14 Jun 2009, 10:29
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