Question

Rachel is interested in a printer. She has a coupon for 35% off 1 item. There is a 10% sales tax on the printer. The final price of the printer after the discount and tax is $107.25. What is the original price of the printer?

a) $150
b) $175
c) $200
d) $225

Answer 1

To find the original price of the printer, apply the 35% discount and 10% sales tax to the final price. Set up an equation and solve for the original price.

Step-by-step explanation:

To find the original price of the printer, we can work backward from the final price after the discount and tax.

Let's denote the original price as x.

First, we apply the 35% discount to x by multiplying it by 0.65 (100% - 35%). So the new price after the discount is 0.65x.

Next, we add the 10% sales tax to the discounted price. To find the amount of sales tax, we multiply the discounted price by 0.10. So the new price after tax is 0.65x + 0.10 * 0.65x.

Given that the final price after discount and tax is $107.25, we can set up the equation:

0.65x + 0.10 * 0.65x = $107.25

Simplifying, we have:

0.65x + 0.065x = $107.25

Combining like terms, we get:

0.715x = $107.25

Dividing both sides by 0.715, we find that:

x = $150

Therefore, the original price of the printer is $150. So the answer is a) $150.