document.write( "Question 78060: A number is increased by 25% and the resulting number is then decreased by 20%. the final number is what percent of the original number?
\n" ); document.write( "-I used 100 as my original number, and when i increased it by 25% i got 125. when i proceeded to decrease that by 20% i got 105. that would put the final number being over 100% of the original number, but my answer key says 100% is the answer. \n" ); document.write( "

Algebra.Com's Answer #55961 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
You did the first part correctly. You started with 100 and increased it by adding 25% of 100
\n" ); document.write( "to it. 25% of 100 is 25 and so you got 100 + 25 for a total of 125.
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\n" ); document.write( "Now the problem asks you to decrease the resulting number (125) by 20%. So you take 20%
\n" ); document.write( "of 125 (125 * 0.20) and the result of this multiplication is 25. Then you take 25 from
\n" ); document.write( "125 and you get the book answer of 100.
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\n" ); document.write( "I suspect that you took 20% of 100 and got 20 ... and when you subtracted that from 125
\n" ); document.write( "you got your answer of 105. But that's not quite what the problem asked you to do. The
\n" ); document.write( "problem said to take 20% of the resulting number ... and from the first part of the problem
\n" ); document.write( "the resulting number was 125.
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\n" ); document.write( "An easy mistake to make. Hope that this clarifies the answer for you. \n" ); document.write( "

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