# A car is normally priced at $12000. In anticipation of their Labor Day Sale, the dealership raises the price of the car by 15%, and then puts the car on sale from that price at 15% off. What is the sale price of the car?

##### 1 Answer

#### Answer:

$11,730

#### Explanation:

I'm going to work this two ways - first step by step, then all together.

**Step by step:**

We have a car with a value of $12,000. The dealership first raises the price by 15%:

And then the dealership announces a 15% off sale. What's the price of the car now?

And so the "sale" isn't much of one at all - buyers only save

**And now, all at once** (I'll build the equation step by step):

We have the Old Price of the car (I'll call that

and we know that the Old Price is 12,000:

Now what do we do to the Old Price? First we increase it by 15%:

and then we reduce the whole thing by 15%:

and now we can solve: