Question

Her earns a salary of $315 plus a commission on on Alice monthly total sales. Last month her total sales were $9640, and she earned a total of $1182.60. What is her commission rate?

Answer 1

Alice's commission rate is `9%` of her total sales.

Explanation:

If Alice's total earnings (from salary and commission) were `$1182.60` and her salary is `$315`, it means that the amount earned from commission alone is `$867.60`:

`1182.60-315=867.60`

This amount represents Alice's commission on her total sales of `$9640`. To find the rate of her commission (`x`), we write the equation:

`9640xx x/100=867.60`

Simplifying the terms:

`96.4x=867.6`

`x=867.6/96.4`

Shifting the decimal point equally:

`x=8676/964`

`x=9`