Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12% what is the total cost of the skateboard if luis wants to pay a state sales tax of 6.75 %?

Luis wants to buy a skateboard that usually sells for $79.99

all merchandise is discounted by 12% = 0.12

Discount amount = sale price * discount percentage

= 79.99 * 0.12 = 9.5988

Selling price after discount = 79.99 - 9.5988 = 70.3912

Now we apply sales tax for the price after discount

sales tax of 6.75 % = 0.0675

Tax amount = price after discount * tax percentage

= 70.3912 * 0.0675= 4.751406

the total cost of the skateboard = Price after discount + tax amount

=70.3912 + 4.751406 = 75.142606

$75.14 is  the total cost of the skateboard

The correct answer is:

$75.14

Explanation:

Everything is discounted 12%.  This means that Luis will pay 100%-12% = 88% of the original cost.  

88% = 88/100 = 0.88; this means 88% of 79.99 is

0.88(79.99) = 70.3912 ≈ $70.39.

Tax is 6.75%.  This means he will pay 100% of his discounted price and an extra 6.75% tax; this is 100%+6.75% = 106.75%.

106.75% = 106.75/100 = 1.0675; this means that 106.75% of 70.39 is

1.0675(70.39) = 75.141325 ≈ $75.14.

step-by-step explanation:

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