Question

Beth is buying a new washing machine that

costs $450. She has a 15% off coupon and
must pay 6% sales tax. How much will Beth pay
for the washing machine?

Answer 1

Beth will pay $ 405.45 for washing machine

Solution:

Given that, Beth is buying a new washing machine that costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

Let us find the discount rate

Discount rate = 15 % of 450

`Discount\ rate = 15 \% * 450\\\\Discount\ rate = (15)/(100) * 450 = 0.15 * 450 = 67.5`

Thus discount rate is $ 67.5

Therefore, sales price is given as:

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

`sales\ tax\ rate = 6 \% * 382.5\\\\sales\ tax\ rate = (6)/(100) * 382.5 = 0.06 * 382.5 = 22.95`

Thus sales tax rate = $ 22.95

How much will Beth pay for the washing machine?

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine