Answer :

First, calculate the discount.

15% of 1250 is 187.5

Then, subtract 187.5 from 1250.
You get 1062.5

Next, to calculate the sales tax. I'm not 100% sure if you're supposed to do this before the discount or after, I'm just assuming after.

Anyway, 

6.5% of 1062.5 is approxamately 69.06.

Add that to 1062.5 to get the final answer of $1131.56

  Final cost of an object can be defined by the expression,

Final cost = [(Selling price - discount) + Sales tax]

 By using this expression, final cost of TV will be $1163.56.

It's given in the question,

  • Selling price of TV = $1250
  • Discount on selling price = 15%
  • Sales tax = 6.5%

Price of TV after applying discount = $1250 - (1250 × [tex]\frac{15}{100}[/tex])

                                                         = $(1250 - 187.50)

                                                         = $1062.5

Final price after adding sales tax = $1062.5 + (6.5% of 1062.5)

                                                       = 1062.5 + 69.0625

                                                       = $1131.5625

                                                       ≈ $1163.56

        Therefore, final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56.

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