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Question 304663: 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
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 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.
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$63 = 70% of the previous price
--> $90
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$90 = 75% of the previous price
--> $120
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$120 = 80% of the previous price
---> OP of $150
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! 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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