Question

As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has a base salary of $300 a week plus 4% of all sales made. The second option has a base salary of $100 plus 7.5% commission on all sales. Find the sales amount that will result in the two options having the same weekly salary.

Answer 1

To find the sales amount that will result in the two options having the same weekly salary, set up an equation with the two salary options and solve for the sales amount.

Step-by-step explanation:

To find the sales amount that will result in the two options having the same weekly salary, we can set up an equation to represent each salary option and solve for the sales amount.

Option 1: Weekly Salary = $300 + 0.04(sales)

Option 2: Weekly Salary = $100 + 0.075(sales)

Setting these two equations equal to each other, we get:

$300 + 0.04(sales) = $100 + 0.075(sales)

Simplifying the equation:

$200 = 0.035(sales)

Dividing both sides by 0.035, we find:

sales = $200 / 0.035 = $5714.29

Therefore, the sales amount that will result in the two options having the same weekly salary is approximately $5714.29.

Answer 2

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.