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Percent problem - struggling with wording....

Problem Solving — algebra and arithmetic
Expert replies
by alex_katharina » Sat Jun 15, 2013 6:13 am
Hope you can help me explain the "wording" of the following problem:

Steve uses a certain copy machine that reduces the image by 13%. What is the percent of the original if Steve reduces the original by another 13%?

Based on the way I read the problem... I pick 100 and subtract 13% = 87. Then I take another 13% from the 87, which is 87 - 11.31 (13 % of the 87) = 75.69.
Here I am struggling with the meaning of "what is the percent of the original" does this mean we need to figure out the percent difference between 100 and 75.69? Does the word "original" refer to 100 or the 87?

Can anyone help me figure out how to understand the wording better for problems like this?
Thanks in advance!
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Source: — Quantitative Reasoning |

by Brent@GMATPrepNow » Mon Jun 17, 2013 6:46 am
I'm not crazy about the wording, but I believe the original size refers to the 100%. Your calculations are perfect.

Another approach is to recognize that "taking away" 13% is the same as "leaving" 87%
So, if we begin with 100, then a 13% reduction = (0.87)(100) = 87

Another 13% reduction = (0.87)(87) = 75.69
So, we began with 100 and ended up with 75.69
We want "What is the percent of the original?"
75.69 represents 75.69% of the original 100

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by alex_katharina » Wed Jun 19, 2013 3:53 pm
Thanks so much! This is really helpful!
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