Percentage Increase and Decrease

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Date:

📚 Part 1: Calculating Percentage Changes

Remember the formulas:

• Percentage Increase = ((New Value - Original Value) ÷ Original Value) × 100%

• Percentage Decrease = ((Original Value - New Value) ÷ Original Value) × 100%

1. A pair of shoes originally costs $120. The price increases to $138. Calculate the percentage increase.

2. A laptop was priced at $850 but is now on sale for $680. What is the percentage decrease?

3. The population of a town grew from 15,000 to 16,800 people. Find the percentage increase.

4. A restaurant meal costs $45 before a 15% discount is applied. What is the final price after the discount?

💰 Part 2: Real-Life Applications

5. Two stores are having sales on the same jacket:

• Store A: Original price $200, now $160

• Store B: Original price $180, now $150

Which store offers the better percentage discount? Show your calculations.

6. Sarah's weekly wage increased from $650 to $715. Her friend Tom's wage increased from $580 to $638. Who received the larger percentage increase?

7. A car dealership marks up their cars by 25% from the wholesale price. If they sell a car for $31,250, what was the wholesale price?

8. In your own words, explain what it means when a shop advertises "30% off all items" and how this affects customers' purchasing decisions.

⚡ Part 3: Quick Quiz

9. A mobile phone plan increases from $35 per month to $42 per month. The percentage increase is:

16.7%

20%

25%

10. If a $80 item is reduced by 35%, the sale price is:

$28

$45

$52

$108

11. The value of a car decreases from $25,000 to $20,000. This represents a _____ decrease.

Answer: _______ %

12. A shop increases all prices by 8%. An item that originally cost $x will now cost:

$x + 8

$1.08x

$0.92x

$x ÷ 1.08

Percentage Increase and Decrease

Percentage Increase and Decrease

📚 Part 1: Calculating Percentage Changes

💰 Part 2: Real-Life Applications

⚡ Part 3: Quick Quiz

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