Amy was on vacation and did some shopping When she got back

Amy was on vacation and did some shopping. When she got back, her friend Dee asked her how much her new jacket cost. Amy wants to give Dee the most accurate answer she can. Luckily, she only bought the jacket in that store and her credit card transaction says she spent $48.12. This value includes sales tax, however. The sales tax was 8.9%, how much was the jacket before sales tax?

Solution

Given Cost of jacket including sales tax is $48.12

Sales tax=8.9%

Let x be the cost of jacket before sales tax.

Then, x+sales tax on x=$48.12

x+8.9% 0f x=48.12

x+(8.9/100) * (x)=48.12

(100x+8.9x)/100=48.12

108.9x/100=48.12

108.9x=48.12*100

108.9x=4812

x=4812/108.9

x=44.187

Therefore, cost of jacket before sales tax is $44.187