Given:
The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
To find:
The percentage reduction.
Solution:
We know that,
[tex]\text{Percentage reduction}=\dfrac{\text{Original value - Reduced value}}{\text{Original value}}\times 100[/tex]
[tex]\text{Percentage reduction}=\dfrac{45-32.50}{45}\times 100[/tex]
[tex]\text{Percentage reduction}=\dfrac{12.50}{45}\times 100[/tex]
On further simplification, we get
[tex]\text{Percentage reduction}=\dfrac{1250}{45}[/tex]
[tex]\text{Percentage reduction}=27.777778[/tex]
[tex]\text{Percentage reduction}\approx 27.78[/tex]
Therefore, the percentage reduction is 27.78%.