2. mary earns $28000 a year. one week she grossed $658.00. she had sold $1673.19 worth of merchandise. what…

2. mary earns $28000 a year. one week she grossed $658.00. she had sold $1673.19 worth of merchandise. what is the rate of her commission?

2. mary earns $28000 a year. one week she grossed $658.00. she had sold $1673.19 worth of merchandise. what is the rate of her commission?

Answer

Explanation:

Step1: Identify commission amount

The gross amount for the week is the sum of her base - pay for the week and her commission. First, find her base - pay per week. Her annual salary is $28000. So her weekly base - pay is $\frac{28000}{52}\approx538.46$. Her gross pay for the week is $658. So the commission amount $C$ is $658 - 538.46=119.54$.

Step2: Calculate commission rate

The commission rate $r$ is calculated by dividing the commission amount by the value of merchandise sold. The value of merchandise sold is $1673.19$. The formula for the commission rate is $r=\frac{C}{S}$, where $C$ is the commission amount and $S$ is the value of merchandise sold. So $r=\frac{119.54}{1673.19}\approx0.0714 = 7.14%$.

Answer:

$7.14%$