When an item is reduced by a certain amount in percentages, the new value is equal to 100% subtracted by the given percentage. In this case the item had its price reduced by 25%, so the new value would be:
[tex]100\text{ \%}-25\text{ \%}=75\text{ \%}[/tex]The value after the reduction is 75% of the original one. We can calculate this value as shown below:
[tex]\begin{gathered} \text{ new value}=\frac{75}{100}\cdot480 \\ \text{ new value}=0.75\cdot480=360 \end{gathered}[/tex]The new value is $360. We need to find the percentage increase value that will make it equal to $480 again. To do that we need to do as shown below:
[tex]\begin{gathered} 480=x\cdot360 \\ x=\frac{480}{360}=1+0.33333 \\ x=100\text{ \% }+\frac{33.3333}{100} \\ x=100\text{ \% + 33\%} \end{gathered}[/tex]The increase in value must be equal to approximately 33.33%.
