Chapter 12: Comparing Quantities - Mock Test
Instructions
- •This test has 20 questions covering all topics from Chapter 12
- •Questions are arranged as per CBSE paper 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
- •No negative marking
- •Show all steps in your calculations
- •You can take this test multiple times
Mock Test Questions
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. What is 20% of 150?
Show Answer
Answer: 30
2. Convert 3/5 to percentage.
Show Answer
Answer: 60%
3. If CP = Rs. 100 and SP = Rs. 120, find profit.
Show Answer
Answer: Rs. 20
4. An article marked at Rs. 200 has 10% discount. Find SP.
Show Answer
Answer: Rs. 180
5. Simplify the ratio 15:25.
Show Answer
Answer: 3:5
6. If 25% of a number is 50, find the number.
Show Answer
Answer: 200
7. A price increases from Rs. 80 to Rs. 100. Find % increase.
Show Answer
Answer: 25%
8. What is profit % if CP = Rs. 50, SP = Rs. 60?
Show Answer
Answer: 20%
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. In a class of 50 students, 35 passed. Find pass percentage.
Show Answer
Answer: Pass % = (35/50) × 100 = 70%
10. A shopkeeper bought goods for Rs. 500 and sold for Rs. 600. Find profit %.
Show Answer
Answer: Profit = 100. Profit % = (100/500) × 100 = 20%
11. If 12% of a number is 36, find 20% of that number.
Show Answer
Answer: If 12% = 36, then 100% = 300. So 20% = 60
12. A number decreased by 15% becomes 85. Find the original number.
Show Answer
Answer: Let x be original. x × (1 - 0.15) = 85. x × 0.85 = 85. x = 100
13. If the ratio of boys:girls = 3:2 and there are 24 boys, find girls.
Show Answer
Answer: 3:2 = 24:x. By cross multiplication: 3x = 48. x = 16 girls
14. MP = Rs. 1000, Discount = 25%. Find SP.
Show Answer
Answer: Discount = (25/100) × 1000 = 250. SP = 1000 - 250 = Rs. 750
15. The ratio 20:30:50 in simplest form is:
Show Answer
Answer: Divide all by GCD 10: 2:3:5
16. If 5:x = 20:16, find x.
Show Answer
Answer: 5 × 16 = 20 × x. 80 = 20x. x = 4
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. A merchant bought goods for Rs. 10000. He sold 70% at 20% profit and remaining at 10% loss. Find total profit or loss.
Show Answer
Answer: 70% goods cost: 0.7 × 10000 = Rs. 7000 SP of 70% = 7000 × 1.2 = Rs. 8400 30% goods cost: 0.3 × 10000 = Rs. 3000 SP of 30% = 3000 × 0.9 = Rs. 2700 Total SP = 8400 + 2700 = Rs. 11100 Net Profit = 11100 - 10000 = Rs. 1100 (Profit of 11%)
18. A price increases by 30%, then decreases by 20%. If the final value is 1040, find original price.
Show Answer
Answer: Let original = x After 30% increase: x × 1.3 After 20% decrease: x × 1.3 × 0.8 = x × 1.04 = 1040 x = 1040 / 1.04 = Rs. 1000 Verification: 1000 × 1.3 = 1300; 1300 × 0.8 = 1040 ✓
19. In a school, ratio of boys:girls = 5:3. If there are 120 boys, find total strength.
Show Answer
Answer: Boys:Girls = 5:3 If 5 units = 120 boys 1 unit = 24 Girls = 3 × 24 = 72 Total strength = 120 + 72 = 192 students
20. An item costs Rs. 800. It is sold at 15% profit but 5% commission is given to agent. Find net profit or loss for shopkeeper.
Show Answer
Answer: CP = Rs. 800 SP = 800 × 1.15 = Rs. 920 Commission = 920 × 0.05 = Rs. 46 Net amount received = 920 - 46 = Rs. 874 Net Profit = 874 - 800 = Rs. 74 (about 9.25% profit)