Question

A salesperson receives a salary of $42,000 per year plus a 6.2% commission on the total amount of

sales the person made during the year. The final amount of reimbursement this person received for the
year was $50,060. Determine the total amount of sales the person had for the year. Round to the
closest hundredth.

Answer 1

Explanation:

To determine the total amount of sales the person had for the year, you can use the following equation:

Total Earnings = Salary + Commission

In this case:

Total Earnings = $50,060 (the final amount of reimbursement)

Salary = $42,000

Commission = 6.2% of the total sales

Now, let's calculate the commission:

Commission = 6.2% of Total Sales

Commission = (6.2/100) * Total Sales

Commission = 0.062 * Total Sales

Now, plug this into the total earnings equation:

$50,060 = $42,000 + 0.062 * Total Sales

To find Total Sales, subtract $42,000 from both sides of the equation:

$50,060 - $42,000 = 0.062 * Total Sales

$8,060 = 0.062 * Total Sales

Now, divide both sides by 0.062 to isolate Total Sales:

Total Sales = $8,060 / 0.062

Total Sales ≈ $130,000

So, the total amount of sales the person had for the year was approximately $130,000.