Question

Raphael purchases a new DVD at M-Mart. He

pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?

Answer 1

The amount Raphael spend on DVD including tax is $16.2

Explanation:

Tax on DVD = 8%

Amount of tax = $1.20

We need to find the amount Raphael spend on DVD including tax.

Let the cost of DVD = x

We can write the equation:
`8\%\:of\:x=1.20`

Because the tax amount is 8% of actual cost and is equal to 1.20

Now solving to find x:

`8\%\:of\:x=1.20\\8\%*\:x=1.20\\(8)/(100)* x=1.20 \\x=1.20 * (100)/(8)\\x= 15`

So, the cost of DVD = $15

Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax

The amount Raphael spend on DVD including tax = 15 + 1.2

= 16.2

So, The amount Raphael spend on DVD including tax is $16.2