Firstly, to have an expression let us represent the discounted price by D.
The original price is represented by p
and the discount is represented by d.
[tex]\begin{gathered} \text{Discounted price = Original price - Discount} \\ D\text{ = p - d }\ldots\ldots..1 \end{gathered}[/tex]the discount is given to be 38% of the original price.
[tex]\begin{gathered} \text{Discount d = 38\% of p =}\frac{38}{100}\times p \\ d\text{ = 0.38p} \end{gathered}[/tex]substituting d = 0.38p into equation 1, we have;
[tex]\begin{gathered} D\text{ = p - 0.38p = (1-0.38)p} \\ D\text{ = 0.62p} \end{gathered}[/tex]Therefore, the simplified expression to represent the discounted price of an item in the store is;
[tex]D\text{ = 0.62p dollars}[/tex]