SOLUTION: Shauna is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy? XYZ-Tronic price - $629 mail-in rebate $150 TEC

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Question 1189904: Shauna is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy?
XYZ-Tronic
price - $629
mail-in rebate $150
TEC-U-COMP
price - $649
discount 25% off

Found 5 solutions by mananth, MathTherapy, josgarithmetic, ikleyn, CPhill:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!

8% sales tax on the price before any rebates
Option I
XYZ-Tronic
price - $629
mail-in rebate $150
Total price = 629*8%+629 -150
=$529.32
Option II
TEC-U-COMP
price - $649
discount 25% off
Total price = 649*8% +649 - 25%*649
= $538.67

Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
Shauna is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy?
XYZ-Tronic
price - $629
mail-in rebate $150
TEC-U-COMP
price - $649
discount 25% off

Answer by josgarithmetic(39736) About Me  (Show Source):
You can put this solution on YOUR website!
XYZ-Tronic
%28629%29%281.08%29-150
529.32

TEC-U-COMP
Either
%281.08%29%28649%29-%280.25%29%28649%29
538.67
Or
%281.08%29%28649-%280.25%29%28649%29%29-----assuming the discount is not the same as "rebate".
525.69
But one of these is a wrong interpretation.

Answer by ikleyn(53619) About Me  (Show Source):
You can put this solution on YOUR website!
.
Shauna is buying a laptop computer. she will pay 8% sales tax on the price before any rebates.
where will she get a better buy?
XYZ-Tronic
price - $629
mail-in rebate $150
TEC-U-COMP
price - $649
discount 25% off
~~~~~~~~~~~~~~~~~~~~~~~~~~~


        The solution in the post by @mananth is correct for XYZ-Tronic and is wrong for TEC-U-COMP.
        So, I will make two solutions correctly.


8% sales tax on the price before any rebates
Option I
XYZ-Tronic
price - $629
mail-in rebate $150
Total payment = 629*8% + 629 -150 = $529.32


Option II
TEC-U-COMP
price - $649
discount 25% off, so the price after the discount is  649 - 0.25*649 = 486.75
The  8%  tax on the price of  $486.75 is  0.08*486.75 = 38.94 dollars.
Total payment = $486.75 + $38.94 = $525.69


ANSWER.  Option II (TEC-U-COMP) is cheaper.

Solved correctly.



Answer by CPhill(2189) About Me  (Show Source):
You can put this solution on YOUR website!

8% sales tax on the price before any rebates
Option I
XYZ-Tronic
price - $629
mail-in rebate $150
Total price = 629*8%+629 -150
=$529.32
Option II
TEC-U-COMP
price - $649
discount 25% off
Total price = 649*8% +649 - 25%*649
= $538.67