Question

After a 20% discount and 6% tax, a guitar cost $530.00. what was the original price of the guitar?

Answer 1

$625.

Explanation:

Let x represent original cost of the guitar.

We have been given that after a 20% discount and 6% tax, a guitar cost $530.00. We are asked to find the original price of the guitar.

The cost of guitar after discount would be 80% (100%-20%) of x that is
`0.80x`.

The cost of guitar after tax would be cost of guitar after discount plus 6% of price after discount that is
`0.80x+0.80x(0.06)`.

`0.80x+0.80x(0.06)=530`

`0.80x+0.048x=530`

`0.848x=530`

`(0.848x)/(0.848)=(530)/(0.848)`

`x=625`

Therefore, the original price of the guitar is $625.