A cabinet listed at 18,500 is sold to a retailer at 14.7% discount. Find the amount of trade discount and the net price.

To find the trade discount and the net price, we can follow these steps:

### 1. Calculate the trade discount:
The trade discount is given by the formula:

\[
\text{Trade Discount} = \text{List Price} \times \frac{\text{Discount Rate}}{100}
\]

In this case:
- **List Price** = 18,500
- **Discount Rate** = 14.7%

\[
\text{Trade Discount} = 18,500 \times \frac{14.7}{100} = 18,500 \times 0.147 = 2,719.5
\]

### 2. Calculate the net price:
The net price is the list price minus the trade discount:

\[
\text{Net Price} = \text{List Price} - \text{Trade Discount}
\]

\[
\text{Net Price} = 18,500 - 2,719.5 = 15,780.5
\]

### Final answer:
- The trade discount is **2,719.50**.
- The net price is **15,780.50**.

Would you like further details or have any other questions?

Here are 5 related questions for further practice:
1. If the discount rate was 20%, what would the trade discount and net price be?
2. How would the calculation change if the discount was only 5%?
3. What is the formula for calculating the net price directly?
4. If a second discount of 5% was applied after the first discount, what would the new net price be?
5. How can you calculate the trade discount without using percentages?

**Tip:** Always ensure you convert percentage rates into decimals when using them in calculations.

Learn how to calculate the trade discount and net price for a cabinet listed at 18,500 with a 14.7% discount. This step-by-step guide covers percentage calculations and basic arithmetic to help you determine a discount of 2,719.50 and a net price of 15,780.50. Suitable for Grades 6-8.

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