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Sagot :
Given :
Ticket price=$42.99
Discount =40%
Sales tax=7%
The formula for discount is
[tex]\text{discount \%=}\frac{list\text{ price -discounted price}}{\text{list price}}\times100[/tex]Substitute list price =42.99, discount =40%, we get
[tex]\text{40=}\frac{42.99\text{ -discounted price}}{\text{4}2.99}\times100[/tex][tex]\frac{40\times42.99}{100}\text{=}42.99\text{ -discounted price}[/tex][tex]discounted\text{ price=}42.99\text{ -}\frac{40\times42.99}{100}[/tex][tex]\text{=}42.99\text{ -}\frac{1719.6}{100}[/tex][tex]\text{=}\frac{42.99\text{ }\times100}{100}\text{-}\frac{1719.6}{100}[/tex][tex]\text{=}\frac{4299-1719.6}{100}[/tex][tex]\text{=}\frac{2579.4}{100}[/tex][tex]discounted\text{ }price\text{=\$25.794}[/tex][tex]discounted\text{ }price\text{=\$25.79}[/tex]tax is 7% for the discounted price
[tex]\text{Tax}=7\text{ \% of \$25.79}[/tex][tex]\text{Tax}=\frac{7}{100}\times\text{25.79}[/tex][tex]\text{Tax}=\frac{180.53}{100}[/tex][tex]\text{Tax}=\text{ \$}1.8053[/tex]Hence Roland paid $1.81 in sales tax.
The total amount=Discounted price+Tax
[tex]\text{The total amount= \$25.79+\$1.81=\$27.6}[/tex]The total amount is $27.6 that Roland paid for the ticket.
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