Nicole wants to use his 18% employee discount to buy a video game that is priced at $69.99. A 6.5% sales tax is applied to the discounted price. What will be the total cost of the video game, including the sales tax?

Respuesta :

Given:

The discount rate, D=18%.

The mared price, M=$69.99.

The sales tax percentage on discounted price, s=6.5%.

The discounted price is,

[tex]\begin{gathered} C=\frac{(100-D)}{100}\times M \\ C=\frac{100-18}{100}\times69.99 \\ C=57.39 \end{gathered}[/tex]

The sales tax on the discounted price is,

[tex]\begin{gathered} S=\frac{s}{100}\times C \\ S=\frac{6.5}{100}\times57.39 \\ S=3.73 \end{gathered}[/tex]

The total cost of the video game including the sales tax is,

[tex]\begin{gathered} T=C+S \\ T=57.39+3.73 \\ T=61.12 \end{gathered}[/tex]

Therefore, the total cost of the video game including the sales tax is $61.12.