Percentages Problem Solving

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📊 Part 1: Simple Percentage Calculations

Instructions: Calculate the following discounts, mark ups, and GST amounts. Show your working in the space provided.

1. Calculate a 10% discount on a $80 jacket.

Final price: $__________

2. A store marks up a $120 item by 15%. What is the new selling price?

New price: $__________

3. Calculate the GST (10%) on a $250 television.

GST amount: $__________

Total price including GST: $__________

4. Find the final price after a 20% discount on a $95 pair of shoes.

Final price: $__________

🛍️ Part 2: Real-World Word Problems

Instructions: Read each problem carefully and solve step by step. Remember to include units in your final answers.

5. Sarah wants to buy a bicycle that normally costs $450. The shop is offering a 25% discount for students. How much will Sarah pay?

Sarah will pay: $__________

6. A café marks up the cost of coffee beans by 30%. If the coffee beans cost $60, what price will customers pay (before GST)?

Customer price: $__________

7. Tom buys a laptop for $800. Calculate the total amount he needs to pay including 10% GST.

Total amount: $__________

🧮 Part 3: Combined Problems - Challenge Questions

Instructions: These problems involve multiple steps. Follow the prompts and show all working clearly.

8. A gaming console originally costs $400. The store marks it up by 20%, then offers a 15% discount during a sale. Finally, GST is added to the sale price.

Step 1: Calculate the price after 20% mark up: $__________

Step 2: Calculate the price after 15% discount: $__________

Step 3: Add 10% GST to find the final price: $__________

9. A furniture store has a dining table for $600. During a clearance sale, they reduce the price by 35%. What is the final price a customer pays including GST?

Step 1: Calculate the sale price after discount: $__________

Step 2: Add GST to find the total price: $__________

10. Explain in your own words why GST is calculated on the final sale price (after discounts) rather than the original price.