Explanation
We are asked to find the trade discount and net price
To do so, we will have the following
Step 1: Calculate the trade discount
[tex]Trade\text{ }discount=listprices\text{ }\times trade\text{ }discount\text{ }rate[/tex]In our case
[tex]\begin{gathered} list\text{ price = \$50} \\ trade\text{ discount rate = 10 \%} \end{gathered}[/tex]Thus, the trade discount will be
[tex]Trade\text{ discount= \$50}\times\frac{10}{100}=\text{ \$50}\times0.1=\text{ \$5}[/tex]Trade Discount = $5
Step 2: Calculate the net price
[tex]Net\text{ }price=list\text{ }price-trade\text{ }discount.[/tex]The net price will be
[tex]Net\text{ price = \$50 - \$5 = \$45}[/tex]The Net Price will be $45