Question 1139369: A music system has been on sale, with 20% off. On top of that, you have a special coupon, which gives you an additional rebate of 10%. The sales tax is 10%. In total, you ended up in paying $792. What was the original price of the music system?
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! a = the original price
b = the discount price.
c = the additional discount price.
the discount price is equal to the retail price minus 20%.
that would be a - .20 * a = .8 * a.
therefore b = .8 * a.
the additional discount price is equal to the discount price minus 10%.
that would be b - .1 * b = .9 * b.
therefore c = .9 * b.
since c = .9 * b and b = .8 * a, then c = .9 * .8 * a which makes c = .72 * a.
since you ended up paying $792, then .72 * a = $792.
solve for a to get a = $792 / .72 = $1100.
the original price was $1100.
20% discount off $1100 = $220, resulting in a discount price of $880.
additional discount of 10% off $880 results in a final discount price of $880 - $88 = $792.
solution looks good.
solution is that the original price of the music system was $1100.
Answer by MathTherapy(10558)  (Show Source):
You can put this solution on YOUR website!
A music system has been on sale, with 20% off. On top of that, you have a special coupon, which gives you an additional rebate of 10%. The sales tax is 10%. In total, you ended up in paying $792. What was the original price of the music system?
IGNORE that person's answer that original price was $1,100. That's WRONG.
Correct answer: 
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