Let's go through each problem on the activity sheet and solve them one by one.

1. Aliyah receives a 30% discount on all the items she bought, which amounted to ₱1,800. How much is she going to pay the cashier?

• Original Amount: ₱1,800
• Discount Rate: 30%

Solution:

1. Calculate the discount amount: $\text{Discount Amount} = \text{Original Amount} \times \left(\frac{\text{Discount Rate}}{100}\right) = 1800 \times 0.30 = 540$
2. Subtract the discount from the original amount to find the sale price: $\text{Sale Price} = \text{Original Amount} - \text{Discount Amount} = 1800 - 540 = 1260$

So, Aliyah will pay ₱1,260 to the cashier.

2. Janelle bought a pair of shoes on its sale price of ₱1,200. How much was the discount if she was given an 18% discount rate?

• Original Sale Price: ₱1,200
• Discount Rate: 18%

Solution:

1. Calculate the discount amount: $\text{Discount Amount} = \text{Original Sale Price} \times \left(\frac{\text{Discount Rate}}{100}\right) = 1200 \times 0.18 = 216$

So, the discount Janelle received was ₱216.

3. In an appliance store, a mini-speaker is marked “10% off”. If the original amount is ₱1,030:

• a. How much is the discount?

• b. What is the sale price of the mini-speaker?

• Original Price: ₱1,030

• Discount Rate: 10%

Solution for (a):

1. Calculate the discount amount: $\text{Discount Amount} = \text{Original Price} \times \left(\frac{\text{Discount Rate}}{100}\right) = 1030 \times 0.10 = 103$

So, the discount is ₱103.

Solution for (b): 2. Subtract the discount from the original price to find the sale price: $\text{Sale Price} = \text{Original Price} - \text{Discount Amount} = 1030 - 103 = 927$

So, the sale price of the mini-speaker is ₱927.

Would you like further explanations or details on any of these problems?

Related Questions:

1. How do you calculate the percentage of a discount?
2. What would be the final price if the discount rate was changed to 25% for the mini-speaker?
3. If Aliyah received an additional 10% discount on the discounted price, how much would she pay?
4. How does changing the discount rate affect the final price?
5. What is the difference between a discount rate and a markdown?

Tip:

Always double-check your calculations when dealing with percentages, especially in real-life scenarios like shopping discounts, to ensure you are getting the right deal.