I can t solve an easy question- Percent.

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The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, his new out put was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

a. 20 %
b. 24 %
c. 30 %
d. 32 %
e. 70 %

According to the book the answer is 24 %, but keep finding 32 %. :oops: It seems easy.

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by givemeanid » Thu Jul 19, 2007 10:20 am
Let original output be 100.
After 10% increase: 110
After further 20% increase: 110 + 0.2(110) = 132

To restore the output to original level, it needs to be decrease by 32.
% = 32*100/132 = 24.24%

Remember, that you are decreasing the output by 32 from 132. Not 100. 32 is the 'tricks/traps' answer.
So It Goes

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by nyotamalaika » Fri Jul 20, 2007 3:18 am
givemeanid wrote:Let original output be 100.
After 10% increase: 110
After further 20% increase: 110 + 0.2(110) = 132

To restore the output to original level, it needs to be decrease by 32.
% = 32*100/132 = 24.24%

Remember, that you are decreasing the output by 32 from 132. Not 100. 32 is the 'tricks/traps' answer.
Thanks Giveme