Whenever Art Dealer sells a sculpture, he earns a 20 percent commission on the first $12,000 of the sale price plus 15 percent of the sale price in excess of $12,000. If Art earned a $3,900 commission on the sale of a certain sculpture, what was the sale price?

sale price is $22000

Explanation:

given data

sale price p1 = $12000

excess sale price p2 = $12000

earn r1 = 20%

earn r2 = 15%

total earn E = $3900

to find out

sale price

solution

we consider here sale price is x

so according to question

total earn will be

total earn = p1 * r1 + (x - p2) r2

put here value

total earn = p1 * r1 + (x - p2) r2

3900 = 1200 * 20% + (x - 12000) 15%

x = 22000

so sale price is $22000