Question

Company A offers a weekly salary of $360 plus a commission of 18% on thier dollar sales volume. Company B offers a weekly salary of $720 plus commission of 9% on thier dollar sales volume. For what dollar sales volume will the two offers result in the same pay?

Answer 1

Answer: The dollar sales volume will be $4000

Step-by-step explanation:

Let x represent the amount of sales volume for which the two offers result in the same pay.

Company A offers a weekly salary of $360 plus a commission of 18% on their dollar sales volume. This means that the total value offered by company A for x sales volume is

360 + 0.18x

Company B offers a weekly salary of $720 plus commission of 9% on their dollar sales volume. This means that the total value offered by company B for x sales volume is

720 + 0.09x

For the two offers to be the same, the sales volume would be

360 + 0.18x = 720 + 0.09x

0.18x - 0.09x = 720 - 360

0.09x = 360

x = 360/0.09

x = $4000