Question

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

Answer 1

Answer:

$625.

Step-by-step 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 $0.80x+0.80x(0.06)$.

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

$0.80x+0.048x=530$

$0.848x=530$

$\frac{0.848x}{0.848}=\frac{530}{0.848}$

$x=625$

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