DVD player costs 91.30 including 10% tax.
The player is 20% off the original price.
How much do you pay after the discount AND if you are exempt from the tax.
The answer is $66.40 according to my answer sheet, but I get 65.74
Please show working. Thanks.
The player is 20% off the original price.
How much do you pay after the discount AND if you are exempt from the tax.
The answer is $66.40 according to my answer sheet, but I get 65.74
Please show working. Thanks.
-
Let x = the original price of the DVD player before tax.
Then, x + .10x = 91.30, since 10% of the price translates to .10x.
This gives the equation 1.1x = 91.30, so x = 83.
20% of x is .20x, so .20*83 = 16.60 is the discount.
So, 83 - 16.60 = 66.40, the price after discount and tax exemption.
Then, x + .10x = 91.30, since 10% of the price translates to .10x.
This gives the equation 1.1x = 91.30, so x = 83.
20% of x is .20x, so .20*83 = 16.60 is the discount.
So, 83 - 16.60 = 66.40, the price after discount and tax exemption.
-
original *1.10 = 91.30
original = 91.30/1.1 = 83
83*.8 = 66.40
original = 91.30/1.1 = 83
83*.8 = 66.40