Aclearance rack is marked as 35% off the regular price. a shirt on the clearance rack has a regular price of $45.99. if there is 7.25% sales tax, what will the shirt ring up for at the register?

The tow main types of sales discounts are: discounts offered by the retailer and discounts based on a third party coupon. In the first case, since the retailer is the one offering the discount, the amount of money received by the retailer is also reduced; therefore, the sales tax is applied to the price of the product after the discount. In the second case, the retailer is charging the full price but you are using a third party coupon to pay for a fraction of that price; therefore the sales tax is applied to the full price of the product.

In our case, since the rack is marked as 35% off the regular price, is safe to assume that the retailers is offering the discount, so the sales tax should be applied to the price of the rack after the discount.

Price of the rack after discount = $45.99 - 35%(45.99$)

Price of the rack after discount = $45.99 - 16.10$

Price of the rack after discount = $29.89

Now we can apply the sales tax to find what the the shirt will ring up for at the register.

Total price = $29.89 + 7.25%(29.89)

Total price = $29.89 + 7.25%(29.89)

Total price = $29.89 + $2.17

Total price = $32.06

We can conclude that the shirt will ring up for $32.06 at the register.