Chapter 8: Percentage and its Applications - Mock Test
Instructions
- •This test has 20 questions covering Percentage and its Applications
- •Questions follow CBSE exam pattern
- •Section A: 8 questions × 1 mark = 8 marks
- •Section B: 8 questions × 2 marks = 16 marks
- •Section C: 4 questions × 4 marks = 16 marks
- •Show working for all calculations
- •No negative marking
- •Retake as many times as needed
Mock Test Questions
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. Convert 1/2 to percentage.
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Answer: 50%
2. What is 10% of 300?
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Answer: 30
3. Convert 0.25 to percentage.
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Answer: 25%
4. What does percentage mean?
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Answer: Per hundred / Out of 100
5. Convert 75% to fraction.
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Answer: 3/4
6. Find 20% of 50.
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Answer: 10
7. What is the symbol for percentage?
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Answer: %
8. Find 5% of 200.
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Answer: 10
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. A pen costs Rs. 10 and is sold for Rs. 12. Find profit%.
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Answer: Profit = 12 - 10 = 2. Profit% = (2/10) × 100 = 20%
10. A shirt marked Rs. 200 is sold at 10% discount. Find selling price.
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Answer: Discount = (10/100) × 200 = 20. SP = 200 - 20 = 180
11. Find simple interest on Rs. 500 at 5% p.a. for 2 years.
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Answer: SI = (500 × 5 × 2) / 100 = 5000/100 = 50
12. What percent of 80 is 16?
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Answer: (16/80) × 100 = 20%
13. A trader buys for Rs. 500 and sells for Rs. 450. Find loss%.
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Answer: Loss = 500 - 450 = 50. Loss% = (50/500) × 100 = 10%
14. An item costs Rs. 1000. GST is 18%. Find final price.
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Answer: Tax = (18/100) × 1000 = 180. Final = 1000 + 180 = 1180
15. Convert 3/5 to percentage.
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Answer: 3/5 = 0.6 = 60%
16. A book costs Rs. 250 after 20% discount. Find marked price.
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Answer: SP = MP × (1 - 20%). 250 = MP × 0.8. MP = 250/0.8 = 312.50
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. A shopkeeper buys a TV for Rs. 8000, marks it at Rs. 10000 and gives 10% discount. Find profit%.
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Answer: CP = 8000, MP = 10000 Discount = (10/100) × 10000 = 1000 SP = 10000 - 1000 = 9000 Profit = 9000 - 8000 = 1000 Profit% = (1000/8000) × 100 = 12.5%
18. A person deposits Rs. 5000 in bank at 8% SI p.a. Find amount after 3 years.
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Answer: P = 5000, R = 8%, T = 3 years SI = (5000 × 8 × 3) / 100 = 120000/100 = 1200 Amount = 5000 + 1200 = 6200
19. The price of a book increases from Rs. 200 to Rs. 250. Find percentage increase.
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Answer: Increase = 250 - 200 = 50 % Increase = (50/200) × 100 = 25%
20. A student gets 75% marks in English (100 marks) and 60% in Maths (100 marks). Find total percentage.
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Answer: English = (75/100) × 100 = 75 marks Maths = (60/100) × 100 = 60 marks Total = 75 + 60 = 135 out of 200 Percentage = (135/200) × 100 = 67.5%
Marking Scheme & Evaluation
Section A (1 Mark)
1 mark for correct answer. No partial marking.
Section B (2 Marks)
- • Correct answer with working: 2 marks
- • Correct working, minor error: 1 mark
- • Wrong answer, no working: 0 marks
Section C (4 Marks)
- • Correct answer with all steps: 4 marks
- • Correct approach, minor errors: 3 marks
- • Partially correct (≥50% work): 2 marks
- • Some relevant working: 1 mark
- • No attempt or wrong: 0 marks
Performance Analysis
36-40 marks: Excellent! Percentage mastered.
30-35 marks: Very Good! Strong understanding.
24-29 marks: Good! Revise challenging areas.
18-23 marks: Average. Focus on concepts.
Below 18 marks: Need improvement. Review fundamentals.
Exam Preparation Tips
- ✓Always identify: cost price, selling price, marked price before solving
- ✓Profit%/Loss% calculated on CP. Discount% on MP. Don't mix them up!
- ✓SI formula: (P × R × T) / 100. Don't forget to divide by 100!
- ✓Convert %→decimal for quick multiplication. 20% = 0.2
- ✓Check: Is final price = Original + Tax? Or Original - Discount?