1. **State the problem:**
We need to find the sale price of a sofa originally priced at 500 with a 15% discount, and then calculate the final price including an 8% sales tax.
2. **Calculate the sales price before tax:**
The formula for the sale price after a discount is:
$$\text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Rate})$$
Here, the discount rate is 15%, or 0.15.
So,
$$\text{Sale Price} = 500 \times (1 - 0.15) = 500 \times 0.85 = 425$$
3. **Calculate the sales price after tax:**
Sales tax is applied on the sale price. The formula is:
$$\text{Final Price} = \text{Sale Price} \times (1 + \text{Tax Rate})$$
The tax rate is 8%, or 0.08.
So,
$$\text{Final Price} = 425 \times (1 + 0.08) = 425 \times 1.08 = 459$$
4. **Answer:**
- The sales price before tax is **425**.
- The sales price after tax is **459**.
This means the sofa costs 459 during the sale including tax.
Sofa Sale Price
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