Percentage Increase and Decrease

Name:

Date:

📊 Part 1: Multiple Choice

1. A jumper originally costs £40. After a 15% increase, what is the new price?

£46

£55

£34

£44

2. The population of a town decreased from 8,000 to 7,200. What was the percentage decrease?

10%

12%

15%

3. Which of these formulas correctly calculates percentage increase? (Select all that apply)

(New Value - Original Value) ÷ Original Value × 100

(Increase ÷ Original Value) × 100

(Original Value - New Value) ÷ Original Value × 100

New Value ÷ Original Value × 100

🧮 Part 2: Calculations

4. A car depreciates in value from £12,000 to £9,600. Calculate the percentage decrease.

Percentage decrease = _________%

5. The price of petrol increases by 8%. If it originally cost £1.25 per litre, what is the new price?

New price = £___________ per litre

6. A shop reduces all prices by 20% in a sale. If a television originally cost £450, what is the sale price?

Sale price = £___________

🌟 Part 3: Real-Life Applications

7. Sarah's salary increased from £24,000 to £26,400 per year. Calculate the percentage increase and explain whether this is above or below the national average pay rise of 12%.

8. A mobile phone shop advertises "20% off all phones, then an additional 10% off the reduced price for students". If a phone originally costs £300, what is the final price for a student?

Final student price = £___________

9. The number of students studying French at a school changed from 120 to 96. The number studying Spanish increased from 80 to 100. Which language had the greater percentage change? Show your working.