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by iwona » Thu Sep 23, 2010 7:56 am
I am struggling with the following problem and cannot figure out why the answer is 24%...

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 % would the output now have to be decreased in order to restore the original output?

Thanks for help! :)
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by Gurpinder » Thu Sep 23, 2010 8:10 am
iwona wrote:I am struggling with the following problem and cannot figure out why the answer is 24%...

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 % would the output now have to be decreased in order to restore the original output?

Thanks for help! :)
lets say that the original output was 100.

^ by 10% = 110.

Another 20% increase on 110 = 110(1.20)=132

32/132=24%

So now, the output has to be decreased 24% to restore the original.
Last edited by Gurpinder on Thu Sep 23, 2010 8:16 am, edited 2 times in total.
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by goyalsau » Thu Sep 23, 2010 8:13 am
iwona wrote:I am struggling with the following problem and cannot figure out why the answer is 24%...

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 % would the output now have to be decreased in order to restore the original output?

Thanks for help! :)
lets assume that first the output was 100 when we increase it by 10% it will be 110
now 110 is increased by 20% then it will be 132.
now we want old output so 132-32
this means 32/132= 24%
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