. Activity No. 4: Discount on Selected Itema Only (3 minutes)

II. Objectives: Solve for the discount, sale price, or the original price of an item

Materials Needed: Pen and paper

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%

#144

#650

Medicine Kit with Complete Set

20%

P799.20

Wrist Watch

P3,600

P250

#3450

Laptop

34%

P25,990

Study Table

To solve the missing values in the table, we will use the formulas for calculating the discount, sale price, and original price of an item.

### Key Formulas:
1. **Discount Amount** = Original Price × Discount Rate
2. **Sale Price** = Original Price - Discount Amount
3. **Original Price** = Sale Price + Discount Amount
4. **Discount Rate** = Discount Amount / Original Price

Let's fill in the missing values using these formulas:

### Table of Solutions:

| Item                      | Original Price | Discount Rate | Discount | Sale Price |
|---------------------------|----------------|----------------|----------|------------|
| **Birthday Cake**         | P800           | 18%            | P144     | P650       |
| **Medicine Kit with Complete Set** | P999.00 (Calculated) | 20%         | P199.80 (Calculated) | P799.20     |
| **Wrist Watch**           | P3,600         | 6.94% (Calculated) | P250     | P3,450     |
| **Laptop**                | P25,990        | 34%            | P8,836.60 (Calculated) | P17,153.40 (Calculated) |
| **Study Table**           | P (To be Calculated) | (To be calculated) | (To be calculated) | (To be Calculated) |

### Step-by-Step Solutions:

1. **Medicine Kit with Complete Set:**
   - Given:
     - Discount Rate = 20%
     - Sale Price = P799.20
   - Find the Original Price:
     \[
     \text{Original Price} = \frac{\text{Sale Price}}{1 - \text{Discount Rate}} = \frac{799.20}{1 - 0.20} = 999.00
     \]
   - Find the Discount:
     \[
     \text{Discount} = \text{Original Price} \times \text{Discount Rate} = 999.00 \times 0.20 = 199.80
     \]

2. **Wrist Watch:**
   - Given:
     - Original Price = P3,600
     - Discount = P250
   - Find the Discount Rate:
     \[
     \text{Discount Rate} = \frac{\text{Discount}}{\text{Original Price}} = \frac{250}{3600} = 0.0694 \approx 6.94\%
     \]
   - Sale Price is already given as P3,450.

3. **Laptop:**
   - Given:
     - Original Price = P25,990
     - Discount Rate = 34%
   - Find the Discount:
     \[
     \text{Discount} = \text{Original Price} \times \text{Discount Rate} = 25990 \times 0.34 = 8,836.60
     \]
   - Find the Sale Price:
     \[
     \text{Sale Price} = \text{Original Price} - \text{Discount} = 25990 - 8836.60 = 17153.40
     \]

4. **Study Table:**
   - Not enough information is given to solve for missing values. Additional data needed.

Would you like more details on any of these steps or help with another problem? 

### Follow-up Questions:
1. How would you calculate the original price if only the sale price and discount rate are known?
2. What is the formula to find the discount rate when the discount amount and original price are given?
3. Can you determine the discount amount if the sale price and original price are provided?
4. How do different discount rates affect the final sale price?
5. Why is it important to round your answers in currency calculations?

**Tip:** Always double-check your calculations when dealing with percentages to avoid simple errors!

Activity No. 4: Discount on Selected Items Only (3 minutes). Objectives: Solve for the discount, sale price, or the original price of an item. Materials Needed: Pen and paper. Instructions: Complete the table by finding the missing value of the discount, sale price, or the original price of the given items.

Solve for the missing values of discounts, sale prices, and original prices in this table-based math problem. Follow key percentage-based formulas to find the answers for items like a Birthday Cake, Medicine Kit, Wrist Watch, and Laptop. Suitable for Grades 5-7 students.

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