SOLUTION: A merchant is selling a new line of watches. He prices the watches at $120 and runs a 10% off sale. During the sale, he made a profit of 20% on the watches . How much did the merch

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A merchant is selling a new line of watches. He prices the watches at $120 and runs a 10% off sale. During the sale, he made a profit of 20% on the watches . How much did the merch      Log On


   



Question 1172980: A merchant is selling a new line of watches. He prices the watches at $120 and runs a 10% off sale. During the sale, he made a profit of 20% on the watches . How much did the merchant pay for each watch ?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) His base price is $120; 10% off of that makes 90% of $120. The sale price is x = 0.90($120). Calculate that sale price, x.

(2) That sale price is 20% over what he paid for each watch; i.e., it is 120% of what he paid, or 1.20 times what he paid. Let y be what he paid for each watch; then

1.20%28y%29+=+x

Solve for y using the value of x from step (1).