Carcass wrote:
Jack and Jill each bought the same TV set using a 10% off coupon. Jack's cashier took 10% off the price and then added 8.5% sales tax. Jill's cashier first added the tax and then took 10% off the total price.
Quantity A |
Quantity B |
The amount Jack paid |
The amount The amount Jill paid |
Let's say the TV costs x dollars BEFORE the discount.
Jack's cashier took 10% off the price and then added 8.5% sales taxJack's cashier took 10% off the price... so, the discounted price = (0.9)x
....and then added 8.5% sales tax. Adding 8.5% tax is the same as multiplying by 1.085
So., Jack's final cost =
(0.9)(x)(1.085)Jill's cashier first added the tax and then took 10% off the total price. Jill's cashier first added the tax... adding 8.5% tax is the same as multiplying by 1.085
So, the new cost is (1.085)(x)
....and then took 10% off the total price.
So, Jill's final cost =
(0.9)(1.085)(x)We get:
Quantity A:
(0.9)(x)(1.085)Quantity B:
(0.9)(1.085)(x)Answer: