IV. Instructions: Complete the table by finding the missing value of the discount, sale price, or the original price of the given items. (Round your answer to the nearest hundredths, if necessary.)

Items

Original Price

Discount Rate

Discount

Sale Price

Birthday Cake

P800

18%

Medicine Kit with Complete Set

20%

P799.20

Wrist Watch

P3,600

P250

Laptop

34%

P25,990

Study Table

P2,250

P500

Let's calculate the missing values for each item. We will use the following formulas:

1. **Discount** = Original Price × Discount Rate
2. **Sale Price** = Original Price − Discount
3. **Original Price** = Sale Price + Discount
4. **Discount Rate** = Discount ÷ Original Price

Let's compute each missing value:

### 1. **Birthday Cake**
- **Original Price** = P800
- **Discount Rate** = 18% = 0.18

**Discount** = 800 × 0.18 = P144

**Sale Price** = 800 − 144 = P656

### 2. **Medicine Kit with Complete Set**
- **Discount Rate** = 20% = 0.20
- **Sale Price** = P799.20

Let’s find the **Original Price**:
- **Original Price** = Sale Price ÷ (1 − Discount Rate) = 799.20 ÷ (1 − 0.20) = 799.20 ÷ 0.80 = P999

Now, let's calculate the **Discount**:
- **Discount** = 999 × 0.20 = P199.80

### 3. **Wrist Watch**
- **Original Price** = P3,600
- **Discount** = P250

Let’s calculate the **Sale Price**:
- **Sale Price** = Original Price − Discount = 3,600 − 250 = P3,350

Let’s find the **Discount Rate**:
- **Discount Rate** = Discount ÷ Original Price = 250 ÷ 3,600 = 0.0694 ≈ 6.94%

### 4. **Laptop**
- **Discount Rate** = 34% = 0.34
- **Sale Price** = P25,990

Let’s find the **Original Price**:
- **Original Price** = Sale Price ÷ (1 − Discount Rate) = 25,990 ÷ (1 − 0.34) = 25,990 ÷ 0.66 = P39,379.39

Now, let’s calculate the **Discount**:
- **Discount** = Original Price × Discount Rate = 39,379.39 × 0.34 = P13,389.39

### 5. **Study Table**
- **Original Price** = P2,250
- **Discount** = P500

Let’s calculate the **Sale Price**:
- **Sale Price** = Original Price − Discount = 2,250 − 500 = P1,750

Let’s find the **Discount Rate**:
- **Discount Rate** = Discount ÷ Original Price = 500 ÷ 2,250 = 0.2222 ≈ 22.22%

### Final Table:
| **Items**                   | **Original Price** | **Discount Rate** | **Discount** | **Sale Price** |
|-----------------------------|--------------------|-------------------|--------------|----------------|
| Birthday Cake               | P800               | 18%               | P144         | P656           |
| Medicine Kit with Complete Set | P999               | 20%               | P199.80      | P799.20        |
| Wrist Watch                 | P3,600             | 6.94%             | P250         | P3,350         |
| Laptop                      | P39,379.39         | 34%               | P13,389.39   | P25,990        |
| Study Table                 | P2,250             | 22.22%            | P500         | P1,750         |

Would you like more details on how any of these were calculated? 

Here are some follow-up questions to consider:
1. How would the sale price change if the discount rate for the birthday cake increased to 20%?
2. What is the total discount given on all items combined?
3. How can you reverse calculate the discount if you only know the sale price and the original price?
4. What would happen if the discount on the laptop increased to 40%?
5. If the original price of the wrist watch increased by P400, how would the sale price and discount rate change?

**Tip:** Always remember to convert percentages to decimals when applying them to calculations.

Complete the table by finding the missing value of the discount, sale price, or the original price of the given items. (Round your answer to the nearest hundredths, if necessary.)

Items

Original Price

Discount Rate

Discount

Sale Price

Birthday Cake - P800 - 18%

Medicine Kit with Complete Set - 20% - P799.20

Wrist Watch - P3,600 - P250

Laptop - 34% - P25,990

Study Table - P2,250 - P500

Learn how to find missing values in discount, sale price, or original price for items like birthday cakes, wristwatches, and laptops. This problem demonstrates percentage and discount calculations. Suitable for students in Grades 6-8, with step-by-step solutions.

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