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The activity sheet you've shared seems to have multiple math problems regarding discounts and pricing. Let's tackle them one by one.

### Part I
1. **Peter's Motorcycle Payment Calculation**
   Peter bought a motorcycle on an installment plan requiring monthly payments over 36 months. If she gets a 2.5% discount for prompt payment, how much will she pay each month?

   Let's assume the total cost of the motorcycle is \( C \). The installment plan states that Peter pays \( P3,600 \) per month for 36 months without the discount. Thus:
   \[
   C = P3,600 \times 36
   \]
   To find the discounted monthly payment \( M \), consider the total price minus the 2.5% discount, then divide by 36 months:
   \[
   M = \frac{C \times (1 - 0.025)}{36}
   \]
   Substituting the values and solving for \( M \).

2. **Cris's Bicycle Discount Rate Calculation**
   Cris bought a bicycle for \( P4,500 \) with a \( P500 \) discount. We need to calculate the discount rate \( r \) as a percentage.
   \[
   r = \left(\frac{500}{4500}\right) \times 100\%
   \]
   This will give us the discount rate as a percentage.

### Part II
For the given table:
- **Birthday Cake**
   With an original price of \( P800 \) and a discount rate of 18%, calculate the discount and the sale price.
   \[
   \text{Discount} = 800 \times 0.18
   \]
   \[
   \text{Sale Price} = 800 - (\text{Discount})
   \]

- **Medicine Kit with Complete Set**
   With a sale price of \( P799.20 \) and a discount of \( P250 \), calculate the original price and then validate the discount rate of 20%.
   \[
   \text{Original Price} = 799.20 + 250
   \]
   Then check:
   \[
   \text{Discount Rate Check} = \left(\frac{250}{\text{Original Price}}\right) \times 100\%
   \]

- **Laptop**
   Given a discount of \( P500 \) and a sale price of \( P25,990 \), calculate the original price.
   \[
   \text{Original Price} = 25,990 + 500
   \]

- **Wrist Watch**
   Given the original price of \( P3,600 \) and a discount rate of 34%, find the discount amount and the sale price.
   \[
   \text{Discount} = 3,600 \times 0.34
   \]
   \[
   \text{Sale Price} = 3,600 - (\text{Discount})
   \]

- **Study Table**
   Given a sale price of \( P2,250 \) and a discount rate of 18%, calculate the original price.
   \[
   \text{Original Price} = \frac{2,250}{1 - 0.18}
   \]

I will now perform the calculations for each of these scenarios. Let's start with Peter's motorcycle payments.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you have any other questions or need further explanations on the problems, feel free to ask! Here are some related topics you might consider:

1. How do you calculate the overall cost of an item with an installment plan?
2. What is the formula for calculating discount percentage?
3. How can you determine the original price of an item if you know the sale price and the discount rate?
4. What are the effects of discount rates on consumer purchasing decisions?
5. How do installment payments affect the total cost of an item?

**Tip:** When solving discount-related problems, always make sure to convert percentage rates into decimal form by dividing them by 100 before performing calculations.

Solve for the discount and the sale price of each item given the discount rate and the original price.

Learn how to calculate discounts, sale prices, and original prices using percentages. This worksheet covers basic discount problems suitable for students in Grades 6-8, with real-world examples such as buying a motorcycle, bicycle, and household items.

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