Percentage, Ratio and Proportion MCQs 2026

44 questions with detailed answers · 0 from past papers · 5 quiz batches available

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Page 1 of 1Questions 1–10 of 44
  1. Q1medium

    Two numbers are in the ratio 5:8 and their difference is 21. The smaller number is

    1. A35
    2. B40
    3. C45
    4. D56
    💡 Explanation:

    The difference is 3 parts, so one part is 7 and the smaller number is 5 x 7 = 35.

  2. Q2easy

    25% less than 160 is

    1. A100
    2. B120
    3. C130
    4. D140
    💡 Explanation:

    25% of 160 is 40, and 160 - 40 = 120.

  3. Q3medium

    If a:b = 5:6 and b = 30, then a is

    1. A20
    2. B25
    3. C35
    4. D36
    💡 Explanation:

    Six parts equal 30, so one part is 5 and a = 5 parts = 25.

  4. Q4easy

    10 is what percent of 50

    1. A20%
    2. B10%
    3. C25%
    4. D40%
    💡 Explanation:

    The percentage is 10/50 x 100 = 20%.

  5. Q5easy

    25% of 240 is

    1. A40
    2. B60
    3. C80
    4. D100
    💡 Explanation:

    25% is one-fourth, and one-fourth of 240 is 60.

  6. Q6easy

    12 is what percent of 48

    1. A20%
    2. B24%
    3. C30%
    4. D25%
    💡 Explanation:

    12/48 = 1/4, and one-fourth equals 25%.

  7. Q7medium

    The percentage increase from 80 to 100 is

    1. A20%
    2. B25%
    3. C30%
    4. D40%
    💡 Explanation:

    Increase is 20; 20/80 x 100 = 25%.

  8. Q8easy

    The percentage decrease from 200 to 150 is

    1. A25%
    2. B20%
    3. C30%
    4. D50%
    💡 Explanation:

    Decrease is 50; 50/200 x 100 = 25%.

  9. Q9easy

    A sum of 50 is divided in the ratio 2:3. The smaller share is

    1. A15
    2. B18
    3. C25
    4. D20
    💡 Explanation:

    Total parts are 5, and the smaller share is 2/5 of 50 = 20.

  10. Q10medium

    The ratio of boys to girls is 5:4 and total students are 45. The number of girls is

    1. A15
    2. B18
    3. C25
    4. D20
    💡 Explanation:

    Total parts are 9, so each part is 45/9 = 5; girls = 4 x 5 = 20.

  11. Q11easy

    If 3:4 = 15:x, then x is

    1. A16
    2. B18
    3. C20
    4. D24
    💡 Explanation:

    Cross multiplication gives 3x = 60, so x = 20.

  12. Q12easy

    If 40% of a number is 80, the number is

    1. A120
    2. B160
    3. C180
    4. D200
    💡 Explanation:

    Let the number be x. Then 0.40x = 80, so x = 200.

  13. Q13medium

    60 is 75% of which number

    1. A70
    2. B75
    3. C80
    4. D90
    💡 Explanation:

    If 75% of x is 60, then x = 60 / 0.75 = 80.

  14. Q14medium

    The fourth proportional to 2, 3 and 8 is

    1. A12
    2. B10
    3. C16
    4. D18
    💡 Explanation:

    For 2:3 = 8:x, cross multiplication gives 2x = 24, so x = 12.

  15. Q15easy

    15% of 600 is

    1. A60
    2. B90
    3. C120
    4. D150
    💡 Explanation:

    15% of 600 equals 0.15 x 600 = 90.

  16. Q16hard

    If A:B = 3:5 and B:C = 10:7, then A:C is

    1. A3:7
    2. B5:7
    3. C6:7
    4. D7:6
    💡 Explanation:

    Make B common: A:B = 6:10 and B:C = 10:7, so A:C = 6:7.

  17. Q17easy

    The ratio 0.5:1.5 in simplest form is

    1. A1:3
    2. B1:2
    3. C2:3
    4. D3:1
    💡 Explanation:

    Multiplying both terms by 10 gives 5:15, which reduces to 1:3.

  18. Q18hard

    A number is increased by 20% and then decreased by 20%. The net effect is

    1. ANo change
    2. B4% decrease
    3. C4% increase
    4. D20% decrease
    💡 Explanation:

    Starting from 100 gives 120 after increase and 96 after decrease, which is 4% less than 100.

  19. Q19easy

    10% of 10% of 500 is

    1. A10
    2. B25
    3. C5
    4. D50
    💡 Explanation:

    10% of 500 is 50, and 10% of 50 is 5.

  20. Q20medium

    If a:b = 4:7 and a + b = 88, then a is

    1. A28
    2. B32
    3. C44
    4. D56
    💡 Explanation:

    Total parts are 11, each part is 8, and a = 4 x 8 = 32.

  21. Q21medium

    If 6 workers finish a job in 12 days, 9 workers will finish it in

    1. A6 days
    2. B7 days
    3. C9 days
    4. D8 days
    💡 Explanation:

    Workers and days are inversely proportional: 6 x 12 = 9 x d, so d = 8.

  22. Q22easy

    30% of 70 is

    1. A21
    2. B18
    3. C24
    4. D27
    💡 Explanation:

    30% of 70 equals 0.30 x 70 = 21.

  23. Q23easy

    A price of 400 is increased by 15%. The new price is

    1. A430
    2. B440
    3. C450
    4. D460
    💡 Explanation:

    15% of 400 is 60, so the increased price is 400 + 60 = 460.

  24. Q24medium

    72 is 120% of which number

    1. A48
    2. B54
    3. C58
    4. D60
    💡 Explanation:

    If 120% of x is 72, then x = 72 / 1.2 = 60.

  25. Q25easy

    35% of 140 is

    1. A42
    2. B45
    3. C49
    4. D56
    💡 Explanation:

    35% of 140 = 0.35 x 140 = 49.

  26. Q26medium

    If 7:x = 14:20, then x is

    1. A10
    2. B12
    3. C14
    4. D16
    💡 Explanation:

    Cross multiplication gives 14x = 140, so x = 10.

  27. Q27medium

    A sum of 150 is divided in the ratio 2:3:5. The largest share is

    1. A60
    2. B75
    3. C80
    4. D90
    💡 Explanation:

    Total parts are 10, so one part is 15 and the largest share is 5 x 15 = 75.

  28. Q28easy

    45 is what percent of 180

    1. A25%
    2. B20%
    3. C30%
    4. D40%
    💡 Explanation:

    45/180 = 1/4, which is 25%.

  29. Q29easy

    A population of 5000 increases by 10%. The new population is

    1. A5100
    2. B5200
    3. C5400
    4. D5500
    💡 Explanation:

    10% of 5000 is 500, so the new population is 5500.

  30. Q30easy

    A population of 5000 decreases by 10%. The new population is

    1. A4500
    2. B4000
    3. C4400
    4. D4900
    💡 Explanation:

    10% of 5000 is 500, so the decreased population is 5000 - 500 = 4500.

  31. Q31easy

    The fraction 7/20 as a percentage is

    1. A30%
    2. B35%
    3. C40%
    4. D45%
    💡 Explanation:

    7/20 = 0.35, and 0.35 x 100 = 35%.

  32. Q32easy

    The decimal 0.125 as a percentage is

    1. A1.25%
    2. B10.5%
    3. C12.5%
    4. D25%
    💡 Explanation:

    Multiplying 0.125 by 100 gives 12.5%.

  33. Q33medium

    The ratio 1.5:2.5 in simplest form is

    1. A2:5
    2. B3:5
    3. C5:3
    4. D6:10
    💡 Explanation:

    Multiplying by 10 gives 15:25, which reduces to 3:5.

  34. Q34easy

    If 40% of A is 80, then A is

    1. A160
    2. B180
    3. C200
    4. D240
    💡 Explanation:

    0.40A = 80, so A = 80 / 0.40 = 200.

  35. Q35easy

    25% more than 160 is

    1. A200
    2. B190
    3. C180
    4. D220
    💡 Explanation:

    25% of 160 is 40, and 160 + 40 = 200.

  36. Q36medium

    16 is what percent more than 10

    1. A40%
    2. B50%
    3. C60%
    4. D70%
    💡 Explanation:

    The increase is 6, and 6/10 x 100 = 60%.

  37. Q37easy

    After a 40% decrease from 250, the value is

    1. A100
    2. B125
    3. C150
    4. D175
    💡 Explanation:

    40% of 250 is 100, so the remaining value is 250 - 100 = 150.

  38. Q38medium

    2/3 expressed as a percentage is

    1. A60%
    2. B62.5%
    3. C66 2/3%
    4. D75%
    💡 Explanation:

    2/3 x 100 = 200/3 = 66 2/3%.

  39. Q39medium

    33 1/3% of 90 is

    1. A30
    2. B27
    3. C33
    4. D36
    💡 Explanation:

    33 1/3% equals one-third, and one-third of 90 is 30.

  40. Q40easy

    If x:y = 9:4, then y:x is

    1. A9:13
    2. B13:9
    3. C9:4
    4. D4:9
    💡 Explanation:

    Reversing the terms of x:y gives y:x = 4:9.

  41. Q41medium

    5% of 5% of 800 is

    1. A10
    2. B4
    3. C20
    4. D2
    💡 Explanation:

    5% of 800 is 40, and 5% of 40 is 2.

  42. Q42medium

    The ratio of 45 minutes to 2 hours is

    1. A2:3
    2. B3:5
    3. C3:8
    4. D4:9
    💡 Explanation:

    2 hours = 120 minutes, so the ratio is 45:120 = 3:8.

  43. Q43medium

    A sum of 720 is divided in the ratio 7:5. The larger share is

    1. A360
    2. B420
    3. C480
    4. D500
    💡 Explanation:

    Total parts are 12, so one part is 60 and the larger share is 7 x 60 = 420.

  44. Q44medium

    45 is 150% of which number

    1. A25
    2. B30
    3. C35
    4. D40
    💡 Explanation:

    If 150% of x is 45, then x = 45 / 1.5 = 30.