SOLUTION: the price of an article has been reduced 25% in order to restore the original price, the price must be increased by

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the price of an article has been reduced 25% in order to restore the original price, the price must be increased by       Log On


   

Question 363070: the price of an article has been reduced 25% in order to restore the original price, the price must be increased by
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the original price be P.
The sale price is (3/4)P.
To get back to P, multiply by X.
%283%2F4%29P%2AX=P
%283%2F4%29%2AX=1
X=4%2F3
Increase the sale price by 1/3 to get back to the original price.
.
.
Example,
The original price of the sweater was $10.
Sale price was $7.50 or $2.50 off.
To get back to $10.00, we need to add $2.50.
2.50%2F7.50=1%2F3