After a price reduction of 20%, the sale price of an item is $16. A student says, "So, the original price must have been 120% of the sale price." Is this statement correct? Justify your answer.
For this case we can make the following rule of three: 80% -------> 16 $ 100% -----> x Clearing the value of x we have: x = (100/80) * (16) x = 20 $ We will compare this result with 120% of the sale price. We have then: (1.20) * (16) = 19.2 $ Answer: The statement is not correct. The original price is: x = 20 $