Question

P sold an article to Q at a profit of 25%. Q sold it to R also at a profit of 25%. If Q gained $500, how much did P gain?

does it have a faster way to solve?

Answer 1

@Callisto

Answer 2

Let's call the original price x. The first time, P sells to Q, earning 25% profit, so P sells the article to Q at the price of 1.25 times the amount P paid to get the article, which is 1.25x

Next Q sells to R, and makes a 25% profit. Q must sell at the price of 1.25 times the amount Q paid to get the article. The profit Q makes is 0.25(1.25x), which is 0.3125x

Now the problem gives that Q made $500 from selling. This $500 is equal to .3125x Solving for x, we get x = 1600 So the amount P profited by is 0.25*1600, which is $400

Answer 3

@uhhhhhh thank you a lot! i understand now!