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Comparing Quantities (Ch.7) Practice Problems with Solutions - CBSE Grade 8

CBSE Grade 8 | Chapter 7: Comparing Quantities
Name: _________________________ Date: _________________________ Score: _______ / 40

CBSE Grade 8 Comparing Quantities turns percentages into everyday maths: 20% of 450 is 90, selling a ₹500 item for ₹600 is a 20% profit, simple interest on ₹2,000 at 5% for 3 years is ₹300, and a 15% discount on ₹800 leaves ₹680. Twenty questions cover ratio as percentage, discount and VAT, with the answer key on this page.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. What is 20% of 450?
(a) 80(b) 90(c) 100(d) 120
2. A shopkeeper bought an item for ₹500 and sold it for ₹600. The profit percent is:
(a) 10%(b) 15%(c) 20%(d) 25%
3. The simple interest on ₹2,000 at 5% per annum for 3 years is:
(a) ₹200(b) ₹250(c) ₹300(d) ₹350
4. If 12% of a number is 60, the number is:
(a) 400(b) 500(c) 600(d) 720
5. A discount of 15% on a marked price of ₹800 gives a selling price of:
(a) ₹680(b) ₹700(c) ₹720(d) ₹750
6. The ratio 3:5 expressed as a percentage is:
(a) 30%(b) 40%(c) 50%(d) 60%

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Find the selling price when marked price is ₹1,200 and discount is 12%.
8. A sum of ₹15,000 is invested at 8% per annum simple interest. Find the amount after 4 years.
9. Convert 7/16 into a percentage.
10. If 35% of people prefer tea, 40% prefer coffee, and the rest prefer juice, what percentage prefers juice?
11. Find CI on ₹10,000 at 10% per annum for 2 years compounded annually.
12. The population of a town increases by 8% annually. If the present population is 54,000, find it a year ago.
13. A dealer buys an article for ₹2,400 and sells it at a profit of 15%. Find the selling price.
14. Find the amount if ₹8,000 is invested at 6% p.a. compounded half-yearly for 1 year.

Section C: Word Problems (3 Marks Each)

Apply the concepts to solve real-life problems.
15. A man bought a car for ₹4,50,000 and spent ₹50,000 on repairs. He sold it for ₹6,00,000. Find his profit percentage.
16. The value of a machine depreciates by 10% every year. If its present value is ₹1,00,000, what will it be after 2 years?
17. A shopkeeper gives a 10% discount on all items and still makes a 12% profit. Find the cost price of an item marked at ₹1,400.
18. Find the compound interest on ₹20,000 for 3 years at 5% per annum compounded annually.
19. In a school, 40% of students are girls. If the number of boys is 480, find the total number of students.
20. VAT is charged at 12% on a laptop marked at ₹45,000. Find the total amount to be paid.

Answer Key

1. b) 90
2. c) 20%
3. c) ₹300
4. b) 500
5. a) ₹680
6. d) 60%
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End of Worksheet

People Also Ask

What is 20% of 450?

90. It is option (b) in this worksheet (Q1).

What is the simple interest on ₹2,000 at 5% for 3 years?

₹300. It is option (c) in this worksheet (Q3).

Express the ratio 3:5 as a percentage.

60%. It is option (d) in this worksheet (Q6).

After a 15% discount on ₹800, what is the selling price?

₹680. It is option (a) in this worksheet (Q5).

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