Nathan took his car in for service and repairs. He had a coupon for 10 % off. Original Prices were labor $213.81, parts $313.25, and other $65.57 which amount is closest to Nathan’s total cost after the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]

A. $565

B. $501

C. $533

D. $498

Respuesta :

The right answer is Option A.

Step-by-step explanation:

Price of labor = $213.81

Price of parts = $313.25

Other parts price = $65.57

Total price = $213.81 + $313.25 + $65.57 = $592.63

Discount price = 10% of total price

[tex]Discount\ price = \frac{10}{100}*592.63\\Discount\ price= \frac{5926.3}{100}\\Discount\ price= 59.263\ Dollars[/tex]

Amount after discount = Total amount - Discount price

Amount after discount = 592.63 - 59.263

Amount after discount = $533.367

6% sales tax is applied after discount;

Sales tax = 6% of 533.367

[tex]Sales\ tax = \frac{6}{100}*533.367\\Sales\ tax= \frac{3200.20}{100}\\Sales\ tax= 32.00\ Dollars[/tex]

Total amount paid by Nathan = Amount after discount + Sales tax

Total amount paid by Nathan = $533.367 + $32.00

Total amount paid by Nathan = $565.36

The right answer is Option A.

Keywords: Percentage, Addition, Sales tax

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