0

# How do you find the original price of an item that gives the discount?

Updated: 12/9/2022

Wiki User

13y ago

Say you buy an item which costs 35.50 after a 22% discount is applied.

- This means that the item only costs 78% of the original price (100% - 22% = 78%).

- So, to find 1% of the original price, you can divide the discounted price by the percent of the original price it represents. So: 35.50/78 = 0.45512821 .

B / ((B/A) x 100) = .01A

- If this number represents 1% of the original price, than multiplying it by 100 will give you the full amount of the original price. So: 0.45512821 x 100 = 45.51.

.01A x 100 = 1A

- If the original price is 45.51, then you can find 78% of that number by multiplying it by .78: 45.51 x .78 = 35.50.

A x (B/A) = B

- Or, you can find 22% of 45.51 by multiplying it by .22: 45.51 x .22 = 10.01.

A(1 - (B/A)) = C

- Then, you can subtract 10.01 (the amount taken off of the original price as a discount) from the original price to find the discounted price. 45.51 - 10.01 = 35.50.

A - C = B

Wiki User

13y ago