Question

A television costs $600. There is a 30% discount on the price of the television and a 7% sales tax on the discount price. What is the final cost of the television after the discount and the sales tax?​

Answer 1

o calculate the final cost of the television after the discount and the sales tax, we can follow these steps:

Calculate the discount amount by multiplying the original price by the discount rate.

Subtract the discount amount from the original price to get the discounted price.

Calculate the sales tax amount by multiplying the discounted price by the sales tax rate.

Add the sales tax amount to the discounted price to get the final cost.

Let's do the math:

Discount amount = Original price × Discount rate

Discount amount = $600 × 30%

Discount amount = $600 × 0.30

Discount amount = $180

Discounted price = Original price − Discount amount

Discounted price = $600 − $180

Discounted price = $420

Sales tax amount = Discounted price × Sales tax rate

Sales tax amount = $420 × 7%

Sales tax amount = $420 × 0.07

Sales tax amount = $29.40

Final cost = Discounted price + Sales tax amount

Final cost = $420 + $29.40

Final cost = $449.40

Therefore, the final cost of the television after the discount and including the sales tax is $449.40.

Answer 2

Let's break down the problem step by step:

1. Calculate the discount:

The television has a 30% discount. To find the discount amount, multiply the original price by the discount percentage (expressed as a decimal):

Discount = 0.30 × $600

2. Calculate the discounted price:

Subtract the discount amount from the original price:

Discounted Price = $600 - Discount

3. Calculate the sales tax:

The sales tax is 7% of the discounted price. Calculate it as follows:

Sales Tax = 0.07 × Discounted Price

4. Calculate the final cost:

Add the discounted price and the sales tax:

Final Cost = Discounted Price + Sales Tax

Now, let's calculate these values:

1. Discount = 0.30 × $600 = $180

2. Discounted Price = $600 - $180 = $420

3. Sales Tax = 0.07 × $420 = $29.40

4. Final Cost = $420 + $29.40 = $449.40

Therefore, the final cost of the television, after the discount and the sales tax, is $449.40.