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Real-Life Percentage Problems
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Real-Life Percentage Problems
🛍️ Part 1: Shopping Discounts in New Zealand
1. A jacket at The Warehouse costs $80. It's on sale for 25% off. What is the sale price?
2. Farmers is having a 30% off sale. If a pair of shoes originally costs $120, how much will you save?
3. A rugby jersey costs $45 after a 20% discount. What was the original price?
4. Which discount saves you more money on a $60 item?
15% off
$8 off
They save the same amount
💰 Part 2: GST and Tax Calculations
5. A book costs $25 excluding GST. GST in New Zealand is 15%. What is the total price including GST?
6. You buy groceries for $87 including GST. How much of this amount is GST? (Hint: GST = 15%)
7. Which items in New Zealand typically include GST in their displayed price?
Supermarket groceries
Petrol at the station
Restaurant meals
Business-to-business services
📊 Part 3: Percentage Increase and Decrease
8. House prices in Auckland increased from $800,000 to $920,000 in one year. What was the percentage increase?
9. A café reduces the price of coffee from $5.50 to $4.40. What is the percentage decrease?
10. Fill in the blanks about percentage changes:
When calculating percentage increase, the formula is: _________________ ÷ _________________ × 100
A 50% increase means the new amount is _______ times the original amount.
A 25% decrease means you pay ______% of the original price.
🏪 Part 4: Create Your Own Sale
11. Design a sale for a New Zealand business. Choose 4 items and show the original price, discount percentage, and final sale price.
12. Draw a simple advertisement for your sale:
🧮 Part 5: Real-World Problem Solving
13. Match each scenario with the correct calculation method:
1. Finding 20% off $50
2. Adding 15% GST to $100
3. Finding original price when sale price is $40 after 20% off
4. Calculating percentage increase from $80 to $96
A. $40 ÷ 0.8
B. $50 × 0.8
C. ($96 - $80) ÷ $80 × 100
D. $100 × 1.15
14. A student's part-time job pays $18.90 per hour (minimum wage in NZ). If they work 12 hours per week, how much do they earn before tax?
15. Explain in your own words why understanding percentages is important for young people in New Zealand:
✅ Part 6: Quick Check
16. Calculate 30% off $90:
17. True or False: If something costs $115 including GST, the price before GST was $100.
True
False
18. A 25% increase followed by a 25% decrease brings you back to the original amount.
True
False
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