|
Question 1092299: the price of an article is cut by 25%,to restore it to the former value, by what percent the new price must be increased?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let x = the original price.
let y = the reduced price.
you get y = x - .25 * x
factor out the x to get y = x * (1 - .25)
simplify to get y = .75 * x
solve for x to get x = y / .75
this is equivalent to x = y * 1.33333.....
this is equivalent to x = y + .3333333 * y
this means you are increasing the reduced price by 33 and 1/3 percent.
so you reduce the original price by 25% to get the reduced price and you increase the reduced price by 33 and 1/3 percent to get the original price.
to see how this works, assume the original price is 500 dollars.
25% of 500 dollars is 125.
subtract that from 500 to get a reduced price of 375 dollars.
now take 33 and 1/3 percent of 375 dollars to get 125 dollars.
add that to 375 dollars to get 500 dollars which is the original price.
solution is confirmed to be good.
|
|
|
| |
