SOLUTION: A $480 TV was put on sale for 30% off. It didn't sell so the price was lowered an additional percent off the sale price making the new price $285.60. What was the second percent di

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Question 1063613: A $480 TV was put on sale for 30% off. It didn't sell so the price was lowered an additional percent off the sale price making the new price $285.60. What was the second percent discount that was given?
Found 2 solutions by reviewermath, Edwin McCravy:
Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Q: A $480 TV was put on sale for 30% off. It didn't sell so the price was lowered an additional percent off the sale price making the new price $285.60. What was the second percent discount that was given?
Tutorial:
Let r = second percent discount
480(1- 0.30)(1 - r) = 285.60

1 - r = 0.85
r = 1 - 0.85
r = 0.15 or 15%
The second percent discount was 15%.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
A $480 TV was put on sale for 30% off. 
That means after the first reduction the price was only
100%-30% or 70% of the original price.

70% of $480 = 0.70×$480 = $336

It didn't sell so the price was lowered an additional
percent off the sale price
`
What was the second percent discount that was given?
Let the additional percent be x%

That means after the second reduction the price was only
(100-x)% of the $336

making the new price $285.60. 
So the equation is:

(100-x)% of $336 = $285.60

  

Multiply both sides by 100

(100-x)×336 = 28560

100×336-336x = 28560

33600-336x = 28560

     -336x = -5040

         
         %

Edwin
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