Question

When hired at a new job selling jewelry, you are given two pay options:Option A: Base salary of $17,000 a year, with a commission of 8% of your sales for the year.Option B: Base salary of $21,000 a year, with a commission of 4% of your sales for the year.How many dollars of sales would need to be sold in order for the two options to produce the samesalary for you?$of jewelry each year.Round your answer to the nearest cent as needed.

Answer 1

let x be the cost of jwellery sold by you.

The equation for option A is given by:

$y=17000+\frac{8}{100}x$

The equation for option B is given by:

$y=21000+\frac{4}{100}x$

So the equality is given by:

$\begin{gathered} 17000+\frac{8}{100}x=21000+\frac{4}{100}x \\ \frac{4}{100}x=4000 \\ x=100000 \end{gathered}$

Hence the sales should be 100000$ for you to make the same salary on both options.