Percentages Worksheets – Grade 7 (Hard)

1. A store increases the price of a $45 backpack by 18%, then offers a 12% discount on the new price. What is the final price of the backpack?

2. In a science class, 23% of students scored above 90% on a test. If there are 32 students who scored above 90%, how many students are in the class total?

3. A car depreciates in value by 15% in the first year, then 12% in the second year. If the original price was $28,500, what is the car worth after two years?

4. A company's profits increased by 35% from 2022 to 2023, then decreased by 22% from 2023 to 2024. If the profit in 2022 was $42,000, what was the profit in 2024?

5. A rectangular garden has its length increased by 24% and its width decreased by 18%. By what percent does the area change?

6. An investment grows by 8% in the first year, 12% in the second year, and loses 5% in the third year. What is the overall percentage change in the investment value after three years?

7. A population of bacteria decreases by 30% each hour. If there are initially 50,000 bacteria, how many will remain after 3 hours?

8. At a restaurant, a meal costs $24 before tax and tip. If the sales tax is 7.5% and you want to leave an 18% tip on the pre-tax amount, what is the total cost?