Given
A TV originally priced at $680 is on sale for 15% off. There is then a 6.2% sales tax. Find the price after including the discount and sales tax.
Solution
Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
[tex]\begin{gathered} 15\text{ \% =}\frac{15}{100}=0.15 \\ \\ \text{and} \\ 6.2\text{ \% =}\frac{6.2}{100}=0.062 \end{gathered}[/tex]
A TV originally priced at $680 is on sale for 15% off
[tex]0.15\times680\text{ = \$102}[/tex][tex]\begin{gathered} \text{The discounted price is now} \\ 680-102=578 \end{gathered}[/tex]
There is then a 6.2% sales tax
sales tax is charged on the reduced /discounted price
[tex]\begin{gathered} 0.062\times578=\text{ \$35.836} \\ \end{gathered}[/tex]
[tex]578+35.836=\text{ \$}613.836[/tex]
The final answer
[tex]\text{ \$}613.84[/tex]
