Let's first find the sale price after offering a 10% discount:
Sale Price = Wholesale Price - Discount
Sale Price = $12,000 - 10% of $12,000
Sale Price = $12,000 - $1,200
Sale Price = $10,800
Now, we can calculate the commission earned by the salesperson:
Commission = 6.5% of Sale Price
Commission = 6.5% of $10,800
Commission = 0.065 x $10,800
Commission = $702
Therefore, the salesperson made a commission of $702 when the dealership offered a 10% discount on the price of the car.