Percentages

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Percentages

by MI3 » Sun May 15, 2011 2:07 am
Hello,

Can someone please assist on the below question:

Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price?

A. $0.00
B. $1.00
C. $3.40
D. $5.00
E. $6.80

I chose answer D , but not very sure. Please opine, many thanks.
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by pemdas » Sun May 15, 2011 1:46 pm
$68 is the price resultant from price change(s), as such x is original price and after 15% off (less) the price was $68, x*0.85=68, 17x/20=17*4, x/20=4, x=$80 (original price)
the final price (plus 25% raise) was $68*1.25 or 68* 5/4=17*5=$85 (final price)
difference between the original price and the final price |80-85|=5

choice d
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