Applications: Distance-Rate-Time, Interest, Average, Cost

Question

A car dealer paid $2,850 for a used car. For his upcoming Labor Day sale, he wants to offer a 5% discount off the posted selling price but would still like to make a 40% profit on its cost. What is the original selling price?

Answer 1

.95 times "fake original price" should equal the price wanted

call fake original price y

price wanted equal 2850+.4*2850

.95y=(2850+.4*2850)

y=4200

.05*4200=210.

dealer says original price $4200, and 5% offf price is now $3990.

2850+.4*2850=3990, dealer make profit desired