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

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> 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      Log On


   



Question 1063615: 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?
Answer by reviewermath(1029) About Me  (Show Source):
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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+=+285.60%2F%28480%281-+0.30%29%29
1 - r = 0.85
r = 1 - 0.85
r = 0.15 or 15%
The second percent discount was 15%.
Checking: 30% of 480 = 144
480 less 144 = 336
15% of 336 = 50.40
336 less 50.40 = 285.60 (correct)
The second percent discount rate was 15%