Question

A tablet is on sale with a 20% discount. The original price is $399.99. The sales tax rate in the county is 8%. What is the total price of the tablet, after discount and sales tax? Round up to the nearest cent.


$431.99


$345.59


$319.99


$80.00

Answer 1

To find the total price of the tablet after applying the discount and sales tax, follow these steps:

1. **Calculate the Discount:**
The discount on the tablet is 20% of the original price of $399.99.

\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 399.99 \times 0.20 = 79.998
\]

2. **Calculate the Sale Price:**
Subtract the discount from the original price to find the sale price.

\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 399.99 - 79.998 = 319.992
\]

3. **Calculate the Sales Tax:**
The sales tax is 8% of the sale price.

\[
\text{Sales Tax} = \text{Sale Price} \times \text{Sales Tax Rate} = 319.992 \times 0.08 = 25.59936
\]

4. **Calculate the Total Price:**
Add the sale price and the sales tax to find the total price.

\[
\text{Total Price} = \text{Sale Price} + \text{Sales Tax} = 319.992 + 25.59936 = 345.59136
\]

5. **Round to the Nearest Cent:**
Round the total price to the nearest cent.

\[
345.59136 \approx 345.59
\]

Thus, the total price of the tablet after applying the discount and sales tax is **$345.59**.

The correct answer is: **$345.59**.