Let's consider two real-world examples of price changes that might occur either at a mall or online:

Example 1: Clothing Store Discount

• Original Price of a Jacket: $80
• Discounted Price of the Jacket: $60

Example 2: Online Electronics Sale

• Original Price of a Bluetooth Speaker: $150
• Discounted Price of the Bluetooth Speaker: $120

Percentage Problems Based on the Examples:

1. Problem 1: Jacket Discount Percentage

   • Question: What is the percentage discount on the jacket?
   • Solution Approach:
     $\text{Discount} = \text{Original Price} - \text{Discounted Price} = 80 - 60 = 20$ $\text{Discount Percentage} = \left(\frac{\text{Discount}}{\text{Original Price}}\right) \times 100 = \left(\frac{20}{80}\right) \times 100 = 25\%$
   • Answer: The jacket was discounted by 25%.

2. Problem 2: Bluetooth Speaker Discount Percentage

   • Question: What is the percentage discount on the Bluetooth speaker?
   • Solution Approach:
     $\text{Discount} = \text{Original Price} - \text{Discounted Price} = 150 - 120 = 30$ $\text{Discount Percentage} = \left(\frac{30}{150}\right) \times 100 = 20\%$
   • Answer: The Bluetooth speaker was discounted by 20%.

Would you like more details on the solutions or have any other questions?

Here are 5 related questions:

1. If the jacket had an additional discount of 10%, what would the final price be?
2. What would the percentage discount be if the jacket's price was reduced to $50?
3. How much would you save in total if you bought both items at their discounted prices?
4. If the Bluetooth speaker was originally priced at $200, what would the discount percentage be with the same $30 reduction?
5. What is the new price if a 15% discount is applied to the speaker's original price?

Tip: When calculating percentage discounts, always subtract the discounted price from the original price before dividing by the original price to find the percentage.