Question

A stereo is sold at a 10% discount and then a 10% tax. If the final sale price is $589.05, what was the regular price of the stereo?

(Accurate Answers Please)​

Answer 1

Explanation:

Let's call the regular price of the stereo "x".

The stereo is sold at a 10% discount, which means the selling price is 90% of the regular price:

Selling price after discount = 0.9x

Then, a 10% tax is added to the selling price, so the final sale price is:

Final sale price = (1 + 0.1)(0.9x) = 1.1(0.9x) = 0.99x + 0.1(0.9x) = 0.99x + 0.09x = 1.08x

We are given that the final sale price is $589.05, so we can set up the equation:

1.08x = 589.05

Solving for x, we get:

x = 589.05 ÷ 1.08

x = 545.83 (rounded to the nearest cent)

Therefore, the regular price of the stereo was $545.83.