The formula C=P(1−d) is used to find the cost of an item that is discounted. The C represents the cost of an item after a discount. P represents the original price of an item, and d is the amount of the discount. Solve for d. d=CP−1 d=1−PC d=1+CP d=1−CP
C=P(1-d)
distribute
C=P-Pd
minus P from both sides
C-P=-Pd
mutiply both sides by -1
P-C=Pd
divide both sides by P
\(\frac{P-C}{P}=d\)