Question

A car wash is offering a 15% discount for all customers on Wednesdays. The sales tax applied after the discount is 7%. If the car wash costs $24, which of the following is closest to the cost of the car wash after the discount and tax?

Option 1: $19.42
Option 2: $20.48
Option 3: $21.62
Option 4: $22.79

Answer 1

After applying a 15% discount to the original $24.00 price of a car wash and adding 7% sales tax to the discounted price, the total cost is approximately $21.83, which rounds to $21.62, therefore the closest option is Option 3: $21.62.

Step-by-step explanation:

The question asks to calculate the total cost of a car wash after a 15% discount and adding 7% sales tax. First, we find the discounted price of the car wash:

• Original Price = $24.00
• Discount = 15% of $24.00 = 0.15 × $24.00 = $3.60
• Discounted Price = Original Price - Discount = $24.00 - $3.60 = $20.40

Next, we calculate the sales tax on the discounted price:

• Sales Tax = 7% of $20.40 = 0.07 × $20.40 = $1.428
• Rounded Sales Tax = $1.43

Finally, we add the sales tax to the discounted price to find the total cost:

• Total Cost = Discounted Price + Sales Tax = $20.40 + $1.43 = $21.83

Therefore, the closest option to the total cost of the car wash after the discount and tax is Option 3: $21.62, since we've calculated it as $21.83, which rounds down to $21.62.