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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.

Respuesta :

JeanaShupp

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 = [tex]\dfrac{0.0065}{0.65}\times100=1\%[/tex]

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

The sales person lost a commission of 10%.

  • Let's assume that the price of the car is 1000.
  • The commission the salesperson earns is $65(0.065 x 1000).
  • The price of the car after the 10% discount is $900 (0.9 x 1000).
  • The commission the salesperson earns on the discounted car is $58.5(0.065 x $900).
  • The commission lost = (58.5 / 65) - 1 = 10%

To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849

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