SOLUTION: If a dealer had sold a stereo for N600(naira), he would have made a 20 percent profit. Instead, the dealer sold it for a 40percent loss. At what price was the stereo sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If a dealer had sold a stereo for N600(naira), he would have made a 20 percent profit. Instead, the dealer sold it for a 40percent loss. At what price was the stereo sold?       Log On


   



Question 1073274: If a dealer had sold a stereo for N600(naira), he would have made a 20 percent profit. Instead, the dealer sold it for a 40percent loss. At what price was the stereo sold?
Found 3 solutions by rfer, MathTherapy, josgarithmetic:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
600/0.60=1000

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If a dealer had sold a stereo for N600(naira), he would have made a 20 percent profit. Instead, the dealer sold it for a 40percent loss. At what price was the stereo sold?
Correct answer: highlight_green%28%22N300%22%29
According to another person's response, itw's sold for 1,000.
How can he sell it for N600 and make a 20% profit, but if he sells it for 1,000, he loses 40%? Does this make sense? I think not!! Not in a million years!

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If sold for 600 naira, 20% profit.
p, original price
%28600-p%29%2Fp=0.2
600=p%2B0.2p
600=1.2p
p=600%2F1.2
highlight_green%28p=500%29, original purchase price



Sold at 40% loss.
Loss of amount 0.4%2A500=200 naira

(purchase price) - (loss amount) = price sold
500-200=highlight_green%28300%2Anaira%29