Question

The discount on a new refrigerator was $190. This was a discount of 11 %.

What would a customer pay for the refrigerator if a 6% sales tax was added to the sale price? Follow the problem-solving process and round your answer
to the nearest cent, if necessary.

Answer 1

To calculate the final cost of the refrigerator, first find the original price by dividing the discount amount by the discount rate, then subtract the discount from the original price to get the sale price. Next, calculate sales tax by multiplying the sale price by the tax rate. Finally, add the sales tax to the sale price to obtain the total amount payable.

Step-by-step explanation:

To determine the final price a customer would pay for the refrigerator, including sales tax, we need to first find the original price of the refrigerator before the discount was applied. Since the discount represented 11% of the original price, and the amount discounted was $190, we can set up the equation 0.11x = $190, where x is the original price. Solving for x gives us x = $190 / 0.11, which equals approximately $1727.27.

Now, after the discount, the sale price of the refrigerator would be the original price minus the discount: $1727.27 - $190 = $1537.27.

Next, we calculate the sales tax by converting the percentage to a decimal and multiplying by the sale price. A 6% sales tax means we multiply 0.06 by $1537.27, giving us $92.24 in sales tax.

Finally, we add the sales tax to the sale price to get the final amount that a customer would pay: $1537.27 + $92.24 = $1629.51. Therefore, after rounding to the nearest cent, the customer would pay approximately $1629.51 for the refrigerator.