Alright, let's work through this step-by-step:
### Part 1: Calculate the Trade Discount
1. The trader originally planned to sell the goods at a list price of \[tex]$125.
2. However, the trader sold the goods for \$[/tex]100.
Trade Discount Calculation:
- The trade discount is essentially how much less the buyer paid than the list price.
- To find the trade discount, subtract the sale price from the list price:
[tex]\[ \text{Trade Discount} = \text{List Price} - \text{Sale Price} \][/tex]
[tex]\[ \text{Trade Discount} = 125 - 100 \][/tex]
So, the trade discount is \[tex]$25.
### Part 2: Calculate the Mark-Up Percentage
1. The trade discount is \$[/tex]25 as computed.
2. The actual sale price of the goods is \[tex]$100.
Mark-Up Percentage Calculation:
- Mark-up percentage is typically calculated as the trade discount relative to the sale price, expressed as a percentage.
- To find the mark-up percentage, use the formula:
\[ \text{Mark-Up Percentage} = \left( \frac{\text{Trade Discount}}{\text{Sale Price}} \right) \times 100 \]
Plugging in the values:
\[ \text{Mark-Up Percentage} = \left( \frac{25}{100} \right) \times 100 \]
So, the mark-up percentage is 25%.
### Summary:
- The trade discount given to the buyer is \$[/tex]25.
- The mark-up percentage is 25%.
