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

Solution:

Consider the original price as P

20% discount = 0.20P

So the discounted sale price = (1 - 0.20) P = 0.80 P

6% tax on the discounted sale price = 0.06 (0.80P)

We know that

530 = 0.80P + 0.06 (0.80P)

By further calculation

530 = 0.848P

Divide both sides by 0.848

P = 530/0.848

P = 625

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

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

Summary:

After a 20% discount and 6% tax, a guitar costs $530.00. The original price of the guitar is $625.