Question

This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car? Show your work.

Answer 1

Answer: 1%

Step-by-step explanation:

Let x be the sale price.

Commission  = 6.5% of x = 0.065x  (Before discount)

Discount amount = 10% of x = 0.1x

Final sales price = x- 0.1x = 0.9x

Commission after discount = 6.5% of (0.9x)

= 0.065 (0.9x)

= 0.0585x

Loss = ( Commission before discount ) - (Commission after discount )

= 0.065x - 0.0585x

= 0.0065x

Loss percent = $\dfrac{0.0065}{0.65}\times100=1\%$

Hence, the salesperson lose 1% when they decided to offer a 10% discount on the price of the car.