Question

Zach bought a pair of jeans for $54.The next week he noticed that the price for the same pair of jeans was now $74. Find the percent of change.

Answer 1

Let's begin by listing out the information given to us:

Old Price = $54

New Price = $74

The percentage change is given by:

`\begin{gathered} \text{\%}\Delta=(|OldPrice-NewPrice|)/(OldPrice)\cdot100\text{\%} \\ \text{\%}\Delta=(|54-74|)/(54)\cdot100\text{\%} \\ \text{\%}\Delta=(|-20|)/(54)\cdot100\text{\%} \\ \text{\%}\Delta=(20)/(54)\cdot100\text{\%} \\ \text{\%}\Delta=37.04\text{\%} \\ \text{\%}\Delta\approx37\text{\%} \end{gathered}`