Competitive Practice
Percentage Practice
Take sectional tests or a full 40-question mock on Percentage with timers, answer review, and detailed explanations.
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Take sectional tests or a full 40-question mock on Percentage with timers, answer review, and detailed explanations.
Build speed in direct percentage, comparison, expenditure-consumption, and successive change through 4 sectional sessions and a CUET-style mixed mock.
Foundations, conversions, and direct percentage.
Comparison logic and relative percentage.
Expenditure-consumption and applied percentage.
Successive change, area, population, and depreciation.
A mixed percentage mock covering all major subtopics, ideal after reading the notes and trying the solved examples.
1. What is 25% of 240?
Explanation: 25% = 1/4, so 1/4 of 240 = 60.
2. Convert 3/4 into percentage.
Explanation: (3/4) x 100 = 75%.
3. 0.32 equals:
Explanation: Multiply the decimal by 100 to convert it into percentage.
4. 12.5% as a fraction is:
Explanation: 12.5% = 12.5/100 = 1/8.
5. 60% of 500 is:
Explanation: 0.60 x 500 = 300.
6. 20% of 15% equals:
Explanation: (20/100) x (15/100) = 3/100 = 3%.
7. Riya scored 144 out of 180. Her percentage is:
Explanation: 144/180 x 100 = 80%.
8. If 35% of a number is 280, the number is:
Explanation: 0.35x = 280, so x = 280/0.35 = 800.
9. Which of the following equals 16 2/3%?
Explanation: 16 2/3% = 16.66.../100 = 1/6.
10. 75% of 84 is:
Explanation: 75% = 3/4, so 3/4 of 84 = 63.
11. A is 25% more than B. B is what percent less than A?
Explanation: Use x/(100+x) x 100 = 25/125 x 100 = 20%.
12. A is 40% less than B. B is what percent more than A?
Explanation: Take B = 100, then A = 60. Increase = 40/60 x 100 = 66 2/3%.
13. If P is 20% more than Q and Q = 250, then P =
Explanation: 20% of 250 = 50, so P = 300.
14. If M is 50% more than N, then N is what percent of M?
Explanation: Take N = 100, then M = 150. N as percent of M = 100/150 x 100 = 66 2/3%.
15. Income rises from 5000 to 6500. Percentage increase is:
Explanation: Increase = 1500. Percentage increase = 1500/5000 x 100 = 30%.
16. Price falls from 800 to 680. Percentage decrease is:
Explanation: Decrease = 120. Percentage decrease = 120/800 x 100 = 15%.
17. A number becomes 156 after a 30% increase. Original number was:
Explanation: 130% = 156, so 100% = 156/1.3 = 120.
18. After a 20% decrease, a value becomes 360. Original value was:
Explanation: 80% = 360, so 100% = 450.
19. If Arjun has 80 marks and Priya has 100 marks, Arjun is less than Priya by:
Explanation: Difference = 20. Base = 100. So 20/100 x 100 = 20%.
20. If Priya has 100 marks and Arjun has 80 marks, Priya is more than Arjun by:
Explanation: Difference = 20. Base = 80. So 20/80 x 100 = 25%.
21. Price of wheat rises by 25%. To keep spending fixed, consumption must fall by:
Explanation: Required reduction = 25/125 x 100 = 20%.
22. Price falls by 20%. Consumption can rise by:
Explanation: Required rise = 20/80 x 100 = 25%.
23. A student spends 15% of Rs 440 on English books. Amount spent =
Explanation: 15% of 440 = 66.
24. 40% of 60% of x is 504. Find x.
Explanation: 0.4 x 0.6 x x = 504, so x = 504/0.24 = 2100.
25. A student gets 55% of 800 marks. Marks obtained =
Explanation: 0.55 x 800 = 440.
26. GST of 8% on Rs 340 equals:
Explanation: 8% of 340 = 27.2.
27. Population of a colony rises from 25,000 to 31,250. Increase % =
Explanation: Increase = 6250. Then 6250/25000 x 100 = 25%.
28. If a number is increased by 15% and becomes 345, original number is:
Explanation: 115% = 345, so 100% = 345/1.15 = 300.
29. 125% of 3060 minus 85% of x equals 408. Then x =
Explanation: 1.25 x 3060 - 0.85x = 408. Solving gives x = 4020.
30. 60% of 264 is equal to what percent of 1056?
Explanation: 60% of 264 = 158.4, and 158.4/1056 x 100 = 15%.
31. A price rises by 20% and then falls by 10%. Net change =
Explanation: 20 + (-10) + (20 x -10)/100 = 8%.
32. A value rises by 10% and then by 20%. Net increase =
Explanation: 10 + 20 + (10 x 20)/100 = 32%.
33. A value decreases by 10% and then by 10%. Net decrease =
Explanation: -10 + -10 + ((-10) x (-10))/100 = -19%.
34. Length increases by 25% and breadth decreases by 20%. Area change =
Explanation: 25 + (-20) + (25 x -20)/100 = 0%. So there is no change.
35. Side of a square increases by 10%. Area increases by:
Explanation: Area change = 10 + 10 + (10 x 10)/100 = 21%.
36. Side of a square decreases by 20%. Area decreases by:
Explanation: Area change = -20 + -20 + ((-20) x (-20))/100 = -36%.
37. Footfall rises by 15% and average spend rises by 20%. Revenue change =
Explanation: 15 + 20 + (15 x 20)/100 = 38%.
38. A value rises by 20% and then falls by 20%. Net effect =
Explanation: 20 + (-20) + (20 x -20)/100 = -4%. So the net effect is 4% decrease.
39. Population grows by 8% each year for 2 years. Approx net growth =
Explanation: 8 + 8 + (8 x 8)/100 = 16.64%.
40. Machine value falls by 20% and then by 25%. Net decrease =
Explanation: -20 + -25 + ((-20) x (-25))/100 = -40%.
41. After a 25% increase, a number becomes 375. What was the original number?
Explanation: After a 25% increase, new value = 125% of original. Original value $=375\times\frac{100}{125}=300$.
42. A price is increased by 20% and then reduced by 10%. The final price is what percent of the original?
Explanation: Use multipliers: $1.20\times0.90=1.08$. So the final price is 108% of the original.
43. A class has 60% boys. If 12 boys leave, boys become 50% of the class. How many students were originally in the class?
Explanation: Let original total be $T$. Boys = $0.6T$. After 12 boys leave, $0.6T-12=0.5(T-12)$. Solving gives $0.1T=6$, so $T=60$.
44. A student scores 72 marks out of 90. To make the percentage 85% after one more test of 60 marks, how many marks are needed in the next test?
Explanation: Total marks after two tests = 150. 85% of 150 = 127.5. Required marks in next test = $127.5-72=55.5$.
45. A machine loses 10% value each year for 2 years. By what percent must the reduced value increase to return to the original value?
Explanation: After two decreases, value factor $=0.9\times0.9=0.81$. Needed increase from 81 to 100 is $\frac{19}{81}\times100=23.46\%$.