Question

Jasmine bought a game system that cost $299 before tax. The total including sales tax was 1.07 times the price. A discount was then applied by multiplying the total price by 0.90. What was the total cost of the game system including the sales tax and discount?

Answer 1

Given :

Cost , c = $299 .

The total including sales tax was 1.07 times the price.

A discount was then applied by multiplying the total price by 0.90.

To Find :

The total cost of the game system including the sales tax and discount.

Solution :

Cost after tax ,
`c_1=c* 1.07=299* 1.07=\$319.93` .

Cost after discount ,
`c_2=c_1* 0.9=319.93* 0.9= \$287.937` .

Therefore , the total cost of the game system including the sales tax and discount is $287.937 .

Hence , this is the required solution .