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The image shows a worksheet focused on "Application for Percentages: Discounts and Sales." It involves filling out a table with missing values related to original prices, discount rates, discounts, and sale prices for different items. Let's solve the first part of the worksheet, which includes completing the table based on the given data.

Here is the table breakdown from the image:

| Items             | Original Price | Discount Rate | Discount | Sale Price |
|-------------------|----------------|---------------|----------|------------|
| Birthday Cake     | ₱800           | 18%           | ?        | ?          |
| Medicine Kit      | ?              | 20%           | ?        | ₱799.20    |
| Wrist Watch       | ₱3,600         | ?             | ₱250     | ?          |
| Laptop            | ?              | 34%           | ?        | ₱25,990    |
| Study Table       | ₱2,250         | ?             | ₱500     | ?          |

### Let's solve it step by step:

#### 1. **Birthday Cake**
- **Original Price**: ₱800
- **Discount Rate**: 18%
- **Discount**: 
  \[
  \text{Discount} = 800 \times 0.18 = ₱144
  \]
- **Sale Price**:
  \[
  \text{Sale Price} = 800 - 144 = ₱656
  \]

#### 2. **Medicine Kit**
- **Sale Price**: ₱799.20
- **Discount Rate**: 20%
- **Let the Original Price be x.**
  \[
  x - 0.20x = 799.20
  \]
  \[
  0.80x = 799.20
  \]
  \[
  x = \frac{799.20}{0.80} = ₱999
  \]
- **Discount**:
  \[
  \text{Discount} = 999 - 799.20 = ₱199.80
  \]

#### 3. **Wrist Watch**
- **Original Price**: ₱3,600
- **Discount**: ₱250
- **Sale Price**:
  \[
  \text{Sale Price} = 3,600 - 250 = ₱3,350
  \]
- **Discount Rate**:
  \[
  \text{Discount Rate} = \frac{250}{3,600} \times 100 = 6.94\%
  \]

#### 4. **Laptop**
- **Sale Price**: ₱25,990
- **Discount Rate**: 34%
- **Let the Original Price be x.**
  \[
  x - 0.34x = 25,990
  \]
  \[
  0.66x = 25,990
  \]
  \[
  x = \frac{25,990}{0.66} = ₱39,378.79
  \]
- **Discount**:
  \[
  \text{Discount} = 39,378.79 - 25,990 = ₱13,388.79
  \]

#### 5. **Study Table**
- **Original Price**: ₱2,250
- **Discount**: ₱500
- **Sale Price**:
  \[
  \text{Sale Price} = 2,250 - 500 = ₱1,750
  \]
- **Discount Rate**:
  \[
  \text{Discount Rate} = \frac{500}{2,250} \times 100 = 22.22\%
  \]

### Final Table:

| Items             | Original Price | Discount Rate | Discount   | Sale Price |
|-------------------|----------------|---------------|------------|------------|
| Birthday Cake     | ₱800           | 18%           | ₱144       | ₱656       |
| Medicine Kit      | ₱999           | 20%           | ₱199.80    | ₱799.20    |
| Wrist Watch       | ₱3,600         | 6.94%         | ₱250       | ₱3,350     |
| Laptop            | ₱39,378.79     | 34%           | ₱13,388.79 | ₱25,990    |
| Study Table       | ₱2,250         | 22.22%        | ₱500       | ₱1,750     |

Would you like details on any specific item? 

Here are 5 questions to further test your understanding:
1. What is the formula for calculating the discount when the original price and discount rate are given?
2. How do you find the original price if the discount rate and sale price are known?
3. If an item has a sale price of ₱150 and the discount was ₱50, what is the original price?
4. How does the percentage discount change the original price to the sale price?
5. What would happen to the sale price if the discount rate is doubled?

**Tip**: Always express percentages as decimals (e.g., 18% as 0.18) when calculating discounts or sale prices.

The user provided a learning activity sheet that involves solving for discounts, original prices, and sale prices using percentage-based calculations. The items include a birthday cake, medicine kit, wristwatch, laptop, and study table.

Learn how to calculate discounts and sale prices for items like birthday cakes, medicine kits, wristwatches, laptops, and study tables. This worksheet is ideal for students in Grades 5-6 and covers key percentage-based calculations, including solving for original prices and discount rates.

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