Pre-Discount Price, given discounted price, discount percent

[joegreeno]

I would like to find a formula to determine the original price of an item, Given the Discounted Price and Discount %. (i.e. x-25%= $236.60) Solve for X

 

[Mrspi]

Re: Pre-Discount Price

I would like to find a formula to determine the original price of an item, Given the Discounted Price and Discount %. (i.e. x-25%= $236.60) Solve for X

If x is the original price, and the discount is 25%, then you subtract 25% OF x from the original price to get the discounted price.

25% of x is 0.25x

1x - .25x = 236.60

0.75x = 236.60

Now....can you finish?

 

[skeeter]

(original price)*(1 - discount percentage as a decimal) = discounted price

so, it stands to reason that ...

original price = (discounted price)/(1 - discount percentage as a decimal)

 

[Loren]

I would like to find a formula to determine the original price of an item, Given the Discounted Price and Discount %. (i.e. x-25%= $236.60) Solve for X.

Here's hint. Suppose the discounted price of an item is $40 and the discount is at the rate of 20%.

Original Price - 20% of original price = 40 becomes....

x - .20x = 40.
.80x = 40
x=40/0.8= $50