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QA dress boutique was trying to sell a formal dress that no one seemed to want

A dress boutique was trying to sell a formal dress that no one seemed to want. The dress was first marked down by 20% off the original price, but no one bought it. Next, it was marked down 25% more off the first sale price, but still no one would buy it. Finally, it was offered for 30% off the second sale price, and someone purchased it for $63. What was the original price of the dress?

I tried a couple of approaches. The first one was working backwards, but I did not get the correct answer.

(63)(.30) = 18.90

63 + 18.90 = 81.90

81.90(.25) = 20.48

81.90 + 20.48 = 102.38

102.38 (.20) = 20.48

102.38 + 20.48 = 122.86

122.86(.20)= 24.58

122.86- 24.58 = 98.28

98.28 - 24.58 = 73.70

73.70(.30) = 22.12

73.70 - 22.12 = 51.58


Another approach which I realize after I finish wasn't quite right was:


x(.20) = .20x

.20x - .25 - .30 = 63

.25 + .30 = 63 - 20x

.55 = 63(20x)


.55/1260 = 1260x/1260

69.3 = x

2 answers

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#1happy peopleAnswered at 2013-02-17 01:25:11
A dress boutique was trying to sell a formal dress that no one seemed to want. The dress was first marked down by 20% off the original price, but no one bought it. Next, it was marked down 25% more off the first sale price, but still no one would buy it. Finally, it was offered for 30% off the second sale price, and someone purchased it for $63. What was the original price of the dress? I tried a couple of approaches. The first one was working backwards, but I did not get the correct answer. -------------- $63 = 70% of the previous price --> $90 ----------- $90 = 75% of the previous price --> $120 ------------ $120 = 80% of the previous price ---> OP of $150
#2ceri-anneAnswered at 2013-02-23 15:59:08
if it was 20 percent off then they paid 80% then 75% then 70% .80*.75*.70x=63 4/5*3/4*7/10*x=63 84/200*x=63 12/200*x=9 1/50x=3 x=150 original price $150
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