Question

Nathan took his car in for service and repairs. He had a coupon for 15% off.

Original Prices
• Labor $275.85
• Parts $318.82
• Other $74.61

Which amount is closest to Nathan's total costs after the 15% discount and including 7% sales tax? [Assume tax is applied after the discount is applied.]
A.
$609
B.
$569
C.
$529

Answer 1

The amount closest to Nathan's total costs after the 15% discount and 7% sales tax is $609.

Explanation:

Given:

Nathan took his car in for service and repairs. He had a coupon for 15% off.

Original Prices

• Labor $275.85

• Parts $318.82

• Other $74.61

Total costs after the 15% discount and including 7% sales tax.

Now, to find the amount closest to Nathan's total cost.

Total cost before discount and tax:

Total cost = Adding prices of labor, parts and other.

Total cost =
`275.85+318.82+74.61=669.28`

Total cost = $669.28.

Now, reducing the discount 15% :

$669.28 - 15% of $669.28

⇒
`669.28-((15)/(100) * 669.28)`

Calculating the 15% discount we get:

⇒
`669.28-100.39`

⇒
`568.89`.

The total cost after discount = $568.89

And, the total cost after including the sales tax:

$568.89 + 7% of $568.89

⇒
`568.89+((7)/(100)* 568.89)`

Calculating the 7% tax we get:

⇒
`568.89+39.82`

⇒
`608.71`

Total cost = $608.71.

An approximate value of the total cost = $609.

Therefore, the amount closest to Nathan's total costs after the 15% discount and 7% sales tax is $609.