CONCEPTS: The basics of Profit/Loss have been applied in the question.
His cost of the car is $8,000.
15% of 8,000 =$1,200,
Hence the Selling price(SP) should be
=Cost Price(CP) +Profit
We have to find a sticker price so that a 20% discount gives him $9,200 as SP
Let y be the sticker price.
If the sticker price is discounted 20%, then 80% of the sticker price remains.
So, we need to find y such that