Question

The price of an all access ticket to the fair is $42.99 before tax. Roland bought the all access ticket for 40% off. He then paid 7% sales tax on the discounted price. How much did Roland pay in sales tax?What is the total amount that Roland paid for the ticket?

Answer 1

Given :

Ticket price=$42.99

Discount =40%

Sales tax=7%

The formula for discount is

`\text{discount \%=}\frac{list\text{ price -discounted price}}{\text{list price}}*100`

Substitute list price =42.99, discount =40%, we get

`\text{40=}\frac{42.99\text{ -discounted price}}{\text{4}2.99}*100`

`(40*42.99)/(100)\text{=}42.99\text{ -discounted price}`

`discounted\text{ price=}42.99\text{ -}(40*42.99)/(100)`

`\text{=}42.99\text{ -}(1719.6)/(100)`

`\text{=}\frac{42.99\text{ }*100}{100}\text{-}(1719.6)/(100)`

`\text{=}(4299-1719.6)/(100)`

`\text{=}(2579.4)/(100)`
`discounted\text{ }price\text{=\$25.794}`

`discounted\text{ }price\text{=\$25.79}`

tax is 7% for the discounted price

`\text{Tax}=7\text{ \% of \$25.79}`

`\text{Tax}=(7)/(100)*\text{25.79}`

`\text{Tax}=(180.53)/(100)`

`\text{Tax}=\text{ \$}1.8053`

Hence Roland paid $1.81 in sales tax.

The total amount=Discounted price+Tax

`\text{The total amount= \$25.79+\$1.81=\$27.6}`

The total amount is $27.6 that Roland paid for the ticket.