Question

This car dealership pays the salesperson a bonus forselling the car equal to 6.5% of the sale price. Howmuch commission did the salesperson lose when theydecided to offer a 10% discount on the price of the car?

Answer 1

10%

1) Since the bonus for the salesman is equivalent to 6.5% then we can write out the following, using a hypothetical sale of $10,000

`10000\cdot0.065=650`

2) Now considering that there was a discount of 10%, then we can write the following:

`\begin{gathered} 10000\cdot(0.9)=9000 \\ 9000\cdot0.065=585 \end{gathered}`

3) Now, let's turn the loss of that salesman into a percentage

`\begin{gathered} 100\%-----650 \\ x-------585 \\ 650x=58500 \\ (650x)/(650)=(58500)/(650) \\ x=90\% \\ 100\%-90\%=10\% \end{gathered}`

Thus, that salesperson will lose 10% as well, on his/her commission.