Leiff goes online to buy a new video game. He finds a site that currently has a promotion of 15% off on all orders over $50. Leiff decides to buy his video game, with a price tag of $128, at this site because he knows that he will get the 15% discount when he checks out. Leiff pays 5.3% sales tax on the discounted price and pays a shipping fee of $4.75. What is the total of Leiff’s online purchase?

Question

a.
$112.84
b.
$114.57
c.
$118.82
d.
$119.32

Answer 1

To calculate the total of Leiff’s online purchase, we need to follow these steps:

1. Calculate the 15% discount on the video game price.
2. Subtract the discount from the original price to find the discounted price.
3. Calculate the sales tax on the discounted price.
4. Add the shipping fee to the discounted price and the sales tax to find the total cost.

Step 1: Calculate the discount

The original price of the video game is $128. The discount is 15% of $128.

\[ \text{Discount} = 0.15 \times 128 = 19.2 \]

Step 2: Calculate the discounted price

Now we subtract the discount from the original price:

\[ \text{Discounted Price} = 128 - 19.2 = 108.8 \]

Step 3: Calculate the sales tax

The sales tax is 5.3% of the discounted price:

\[ \text{Sales Tax} = 0.053 \times 108.8 \approx 5.74 \]

Step 4: Add the shipping fee

Now we add the shipping fee of $4.75:

\[ \text{Total cost} = \text{Discounted Price} + \text{Sales Tax} + \text{Shipping Fee} \]

\[ \text{Total cost} = 108.8 + 5.74 + 4.75 \approx 119.29 \]

Rounding this gives us:

\[ \text{Total cost} \approx 119.32 \]

Therefore, the total of Leiff’s online purchase is:

d. $119.32