a salesperson earns 8% commission. if they earn $800 commission, what were their sales? joan sells new cars…

a salesperson earns 8% commission. if they earn $800 commission, what were their sales? joan sells new cars. she receives a 25% commission on $10000 profit. how much commission did she earn?

a salesperson earns 8% commission. if they earn $800 commission, what were their sales? joan sells new cars. she receives a 25% commission on $10000 profit. how much commission did she earn?

Answer

Explanation:

Step1: Set up equation for first - part

Let the sales be $x$. The commission rate is $8%=0.08$, and the commission is $800$. So the equation is $0.08x = 800$.

Step2: Solve for $x$

Divide both sides of the equation $0.08x = 800$ by $0.08$. We get $x=\frac{800}{0.08}=10000$.

Step3: Calculate commission for second - part

For the second part, Joan has a $25% = 0.25$ commission rate on a $10000$ profit. The commission $C$ is calculated by $C = 0.25\times10000$.

Step4: Find the value of $C$

$C=0.25\times10000 = 2500$.

Answer:

  1. The sales amount is $10000$.
  2. Joan's commission is $2500$.