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;
![(20)/(100)\ast48=\text{ 9.6}](https://img.qammunity.org/2023/formulas/mathematics/college/ade0looaiyb1t6knv84fc7zrogw0vis8qq.png)
To find the new price of the item, we'll need to subtract 9.6 from the original price;
![48-9.6=38.4](https://img.qammunity.org/2023/formulas/mathematics/college/d0scbg1peo29ad6l4xnbai8otifrnaao5b.png)
Therefore, the new price of the item after 20% reduction in price is $38.40