Let's solve a couple of example problems using the formulas provided in the second image.

### Example 1: Calculating the Discount and Sale Price
**Problem:**
- Original Price: $100
- Discount Rate: 20%

**Solution:**

1. **Calculate the Discount:**
   \[
   \text{Discount} = \text{Original Price} \times \text{Rate of Discount}
   \]
   \[
   \text{Discount} = 100 \times \frac{20}{100} = 100 \times 0.20 = 20 \text{ dollars}
   \]

2. **Calculate the Sale Price:**
   \[
   \text{Sale Price} = \text{Original Price} - \text{Discount}
   \]
   \[
   \text{Sale Price} = 100 - 20 = 80 \text{ dollars}
   \]

So, the discount is $20, and the sale price is $80.

---

### Example 2: Calculating the Sale Price with a Different Discount
**Problem:**
- Original Price: $250
- Discount Rate: 15%

**Solution:**

1. **Calculate the Discount:**
   \[
   \text{Discount} = \text{Original Price} \times \text{Rate of Discount}
   \]
   \[
   \text{Discount} = 250 \times \frac{15}{100} = 250 \times 0.15 = 37.5 \text{ dollars}
   \]

2. **Calculate the Sale Price:**
   \[
   \text{Sale Price} = \text{Original Price} - \text{Discount}
   \]
   \[
   \text{Sale Price} = 250 - 37.5 = 212.5 \text{ dollars}
   \]

So, the discount is $37.50, and the sale price is $212.50.

Would you like to explore more examples or have any further questions?

### Related Questions:
1. How would the formulas change if an additional tax was added after the discount?
2. What happens if multiple discounts are applied sequentially?
3. Can you calculate the final price if a 10% tax is added to the sale price from Example 2?
4. How does compound discounting differ from simple discounting?
5. What would the sale price be if the original price is $150 with a 25% discount?

### Tip:
When working with percentages, remember that converting the percentage to a decimal (by dividing by 100) is crucial for correct calculations.

Explore how to solve discount problems with step-by-step examples. Calculate discounts and sale prices using practical formulas. Suitable for learners and anyone interested in mastering percentage calculations.

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