SOLUTION: 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 mar

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 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 mar      Log On


   

Question 186519: 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?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x= Original Price
1st mark down= 20% off:
x-0.20x=0.80x
2nd mark down=25% off the 1st sale price of 0.80x:
0.80x-0.25%280.80x%29=0.80x-0.20x=0.60x
3rd mark down=30% off the 2nd sale price of 0.60x:
0.60x-0.30%280.60x%29=0.60x-0.18x=0.42x
.
We equate the final mark down to the purchase price of $63.00:
0.42x=63----->cross%280.42%29x%2Fcross%280.42%29=cross%2863%29150%2Fcross%280.42%29
highlight%28x=150%29, ORIGINAL PRICE
.
Let's Check,
1st mark down: 150-0.20%28150%29=150-30=120
2nd mark down: 120-0.25%28120%29=120-30=90
3rd mark down: 90-0.30%2890%29=90-27=$63.00 Purchase Price
Thank you,
Jojo