A tshirt costs 24.99. its on sale for 30 percent off. whats the total price including taxes?
The Correct Answer and Explanation is :
To calculate the final price of the T-shirt with the sale discount and taxes, we’ll follow these steps:
- Find the sale discount: Since the discount is 30%, we multiply the original price ($24.99) by 30% (or 0.30 in decimal form).
[
24.99 \times 0.30 = 7.497
]
This means the discount amount is $7.50 (rounded to two decimal places). - Subtract the discount from the original price:
[
24.99 – 7.50 = 17.49
]
The discounted price of the T-shirt is $17.49. - Add the sales tax: Sales tax varies by location, but let’s assume a tax rate of 7.5% (a common U.S. sales tax). Multiply the discounted price ($17.49) by 7.5% (or 0.075 in decimal form).
[
17.49 \times 0.075 = 1.31175
]
The sales tax is approximately $1.31. - Calculate the total price:
[
17.49 + 1.31 = 18.80
]
So, the total price including tax is $18.80.
Explanation of Each Step
- Applying a Percentage Discount: To calculate a percentage discount, you convert the percentage (30%) into a decimal by dividing by 100 (30 ÷ 100 = 0.30). Then, multiply the original price by the decimal to find the discount amount.
- Finding the Discounted Price: Subtract the discount from the original price to get the reduced price after the discount.
- Calculating Sales Tax: Sales tax is also a percentage of the price (in this case, the discounted price). The same method is applied: convert the tax rate to a decimal and multiply by the discounted price.
- Final Total Price: Add the tax amount to the discounted price to get the final total.
This step-by-step process ensures accurate calculations, showing how percentages work in both discounts and taxes.