Brian has decided he would like to negotiate on a car with a $32,000 sticker price. If the dealer's cost on this car is 15 percent lower than the sticker price, Brian should be able to negotiate a price somewhat higher than

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Answer:

Brian should be able to negotiate a price higher than $27,200.

Step-by-step explanation:

Given:

Sticker price of the car = $32,000

Cost of the car = 15% lower than the sticker price.

We need to find the cost of the car as negotiation price needs to be higher than the cost price.

Solution:

First we find the cost of the car.

In the above statement, the cost of the car is 15% lower than the sticker price, so we use the percentage formula for cost of the car.

Using percentage formula.

[tex]percentage\ cost = \frac{100-percentage\ value}{100}\times Sticker\ cost[/tex]

Now, we substitute percentage value = 15 and Sticker cost = $32,000

[tex]Cost\ of\ the\ car=\frac{100-15}{100}\times 32000[/tex]

[tex]Cost\ of\ the\ car=\frac{85}{100}\times 32000[/tex]

Now, we divide 32,000 by 100

[tex]Cost\ of\ the\ car=85\times 320[/tex]

[tex]Cost\ of\ the\ car=\$27,200[/tex]

So, cost of the car is equal to $27,200

Therefore, Brian should be able to negotiate a price higher than $27,200.