Luis wants to buy a skateboard that usually sells for $79.30. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate calculations and answer to the nearest cent. The total cost of the skateboard is $ ___________.
Mathematics · Middle School · Wed Jan 13 2021
Answered on
Given the statement:
Luis wants to buy a skateboard that usually sells for $79.30. All merchandise is discounted by 12%.
Determine the total cost of the skateboard if there is a sales tax of 6.25%
Solution:
We must first determine the discounted price of the skateboard by taking 12% out of 79.30, then after we know the discounted price, we then take 6.25% of it and add its value to the discounted price. Since we are given the percentages, we must first change it to decimal. In converting a percentage into decimal, divide the percentage by 100, hence in converting a decimal to percentage, multiply the percentage by 10
= 12/100
= 0.12
=6.25/100
= 0.0625
= (0.12)($79.30)
=$9.5
= $79.30 - $9.5
= $69.8
Now that we've determined the discounted price, we can proceed in finding the sales tax price.
= ($69.8)(0.0625)
= $4.36
= $69.8 + $4.36
=$74.16
=$74.2
Final answer:
The total cost of the skateboard is $74.2