Price of item after discount

Question

The sale price of an item is $160 after a 20% discount. What was the original price of the item?

Answer 1

If we let x = the original price, then we can form the following equation:

 

x - 0.20x = 160   That's because 20% = 20/100 = 0.20

 

Simplifying yields:

 

0.80x = 160

 

x = 160/0.80 = 200

 

The original price was $200