From the question. we are told that the price of the item has been reduced by 20%, while the original price of the item was 48$;
So, let's find 20% of $48;
[tex]\frac{20}{100}\ast48=\text{ 9.6}[/tex]To find the new price of the item, we'll need to subtract 9.6 from the original price;
[tex]48-9.6=38.4[/tex]Therefore, the new price of the item after 20% reduction in price is $38.40