Question

A $120 skateboard is on sale for 15% off and the sales tax is 7.5%. What is the final cost of the skateboard including tax?(Round to nearest cent)

Answer 1

To find the final cost of the skateboard including sales tax, we will follow these steps:

1. **Calculate the discount amount.**
\[
\text{Discount} = \text{Original Price} \times \frac{\text{Discount Rate}}{100}
\]
\[
\text{Discount} = 120 \times \frac{15}{100} = 120 \times 0.15 = 18
\]

2. **Calculate the sale price after the discount.**
\[
\text{Sale Price} = \text{Original Price} - \text{Discount}
\]
\[
\text{Sale Price} = 120 - 18 = 102
\]

3. **Calculate the sales tax amount.**
\[
\text{Sales Tax} = \text{Sale Price} \times \frac{\text{Sales Tax Rate}}{100}
\]
\[
\text{Sales Tax} = 102 \times \frac{7.5}{100} = 102 \times 0.075 = 7.65
\]

4. **Calculate the final cost including tax.**
\[
\text{Final Cost} = \text{Sale Price} + \text{Sales Tax}
\]
\[
\text{Final Cost} = 102 + 7.65 = 109.65
\]

Thus, the final cost of the skateboard, including tax, is **$109.65**.