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.