Question

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 has to pay a state sales tax of 6.75%

Answer 1

The total cost of the skate board is $74.61.

SOLUTION:

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

`\begin{array}{l}{=12 \% * 79.99} \\\\ {=(12)/(100) * 79.99} \\\\ {=(959.88)/(100)} \\\\ {=9.5988}\end{array}`

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

`\begin{array}{l}{=6 \% * \text { (original cost - discount) }} \\\\ {=(6)/(100) *(79.99-9.6)} \\\\ {=(6)/(100) *(70.39)} \\\\ {=(422.34)/(100)} \\\\ {=4.2234}\end{array}`

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61