Question

Jackson purchased a pack of game cards that was on sale for 20% off. The sales tax in his county is 6%. What is the percent original price of cards?

Options:
A) 25%
B) 30%
C) 35%
D) 40%

Answer 1

To find the percent original price of the cards, you need to consider both the discount and the sales tax. First, calculate the discounted price, then add the sales tax to find the final price. Divide the final price by the original price and multiply by 100 to get the percent original price.

Step-by-step explanation:

To find the percent original price of the cards, we need to consider both the discount and the sales tax. First, let's calculate the original price of the cards without any discount. Let's assume the original price is x dollars. The discount is 20% off, so the discounted price would be 80% of x. Now, we need to add the sales tax of 6% to the discounted price to find the final price.

Let's go through the steps:

1. Original Price = x dollars
2. Discounted Price = 80% of x = 0.8x dollars
3. Final Price (including sales tax) = Discounted Price + Sales Tax = 0.8x + 0.06(0.8x)

Now, we can simplify the equation:

Final Price = 0.8x + 0.048x = 0.848x dollars

So, the final price after the discount and sales tax is 0.848x dollars. To find the percent original price, we can divide the final price by the original price and multiply by 100 to get the percentage:

Percent Original Price = (0.848x / x) × 100 = 84.8%