Let g(x)=x-x(20/100)=x-x/5=4x/5, where x is the presale price of a sales item and g(x) is the 20% reduced price. All prices are in dollars.
Let f(x)=x+x(6.25/100)=x+x/16=17x/16, where x is the price of goods and f(x) is price after 6.25% sales tax.
The price of the DVD player is (f⚬g)(x) or f(g(x)) for x=169, so we want f(g(169))=f(4×169/5)=f(135.20)=17×135.20/16=$143.65.