# 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