Ratio and Proportion Questions are an important part of quantitative aptitude and are commonly asked in competitive examinations. These questions test your understanding of ratios, equivalent ratios, proportions, distribution, comparison, ages, mixtures, income and expenditure, and other practical applications.
This practice set contains 100 Ratio and Proportion MCQs with answers and explanations. The questions range from basic concepts to exam-oriented problems useful for SSC, Railway, Banking, Defence, Police, and other competitive examinations.
Try to solve each question yourself before opening the View Answer section. Regular practice of Ratio and Proportion questions can help improve your calculation speed, accuracy, and confidence in quantitative aptitude.
Q1. Simplify the ratio 24 : 36.
A. 2 : 3
B. 3 : 4
C. 4 : 5
D. 5 : 6
View Answer
Divide both terms by their HCF, 12.
24 ÷ 12 : 36 ÷ 12 = 2 : 3.
Q2. If A : B = 3 : 5 and B : C = 10 : 7, find A : B : C.
A. 3 : 5 : 7
B. 6 : 10 : 7
C. 6 : 5 : 7
D. 3 : 10 : 7
View Answer
A : B = 3 : 5 = 6 : 10.
B : C = 10 : 7.
Therefore, A : B : C = 6 : 10 : 7.
Q3. Divide ₹720 in the ratio 3 : 5.
A. ₹240 and ₹480
B. ₹270 and ₹450
C. ₹300 and ₹420
D. ₹320 and ₹400
View Answer
Total parts = 3 + 5 = 8.
First share = 720 × 3/8 = ₹270.
Second share = 720 × 5/8 = ₹450.
Q4. If 4 : 7 = x : 35, find x.
A. 15
B. 18
C. 20
D. 25
View Answer
4/7 = x/35.
x = 35 × 4/7 = 20.
Q5. The ratio of boys to girls in a class is 5 : 3. If there are 40 boys, how many girls are there?
A. 20
B. 24
C. 28
D. 32
View Answer
5 parts = 40.
1 part = 8.
Girls = 3 × 8 = 24.
Q6. What is the ratio of 2 hours to 30 minutes?
A. 2 : 1
B. 3 : 1
C. 4 : 1
D. 5 : 2
View Answer
2 hours = 120 minutes.
Ratio = 120 : 30 = 4 : 1.
Q7. If x : 15 = 8 : 12, find x.
A. 8
B. 10
C. 12
D. 14
View Answer
x/15 = 8/12 = 2/3.
x = 15 × 2/3 = 10.
Q8. Two numbers are in the ratio 4 : 7. If their sum is 99, find the smaller number.
A. 32
B. 36
C. 40
D. 44
View Answer
Total parts = 11.
One part = 99/11 = 9.
Smaller number = 4 × 9 = 36.
Q9. Two numbers are in the ratio 3 : 8. If their difference is 45, find the larger number.
A. 60
B. 64
C. 72
D. 80
View Answer
Difference in ratio = 8 − 3 = 5 parts.
5 parts = 45, so 1 part = 9.
Larger number = 8 × 9 = 72.
Q10. Find the fourth proportional to 3, 6 and 12.
A. 18
B. 20
C. 24
D. 30
View Answer
3 : 6 = 12 : x.
3x = 72.
x = 24.
Q11. The ratio of the ages of A and B is 4 : 5. If A is 24 years old, find B’s age.
A. 28 years
B. 30 years
C. 32 years
D. 36 years
View Answer
4 parts = 24.
1 part = 6.
B’s age = 5 × 6 = 30 years.
Q12. What is the ratio of 75 paise to ₹3?
A. 1 : 2
B. 1 : 3
C. 1 : 4
D. 2 : 5
View Answer
₹3 = 300 paise.
Ratio = 75 : 300 = 1 : 4.
Q13. If 12 : 18 = 20 : x, find x.
A. 24
B. 28
C. 30
D. 32
View Answer
12/18 = 20/x.
12x = 360.
x = 30.
Q14. The ratio of two numbers is 7 : 9. If the first number is 35, find the second number.
A. 40
B. 42
C. 45
D. 48
View Answer
7 parts = 35.
1 part = 5.
Second number = 9 × 5 = 45.
Q15. ₹1,200 is divided among A, B and C in the ratio 2 : 3 : 5. What is C’s share?
A. ₹360
B. ₹480
C. ₹600
D. ₹720
View Answer
Total parts = 2 + 3 + 5 = 10.
C’s share = 1,200 × 5/10 = ₹600.
Q16. If A : B = 2 : 3 and B : C = 4 : 5, find A : C.
A. 4 : 5
B. 8 : 15
C. 6 : 10
D. 3 : 5
View Answer
A : B = 2 : 3 = 8 : 12.
B : C = 4 : 5 = 12 : 15.
Therefore, A : C = 8 : 15.
Q17. The ratio of income to expenditure of a person is 5 : 4. If the income is ₹25,000, what are the savings?
A. ₹4,000
B. ₹5,000
C. ₹6,000
D. ₹7,500
View Answer
5 parts = ₹25,000, so 1 part = ₹5,000.
Expenditure = 4 × ₹5,000 = ₹20,000.
Savings = ₹25,000 − ₹20,000 = ₹5,000.
Q18. If 5 pens cost ₹60, what will 8 pens cost at the same rate?
A. ₹84
B. ₹90
C. ₹96
D. ₹100
View Answer
Cost of 1 pen = ₹60/5 = ₹12.
Cost of 8 pens = 8 × ₹12 = ₹96.
Q19. The ratio of red balls to blue balls is 3 : 7. If there are 50 balls in total, how many are red?
A. 10
B. 15
C. 20
D. 21
View Answer
Total parts = 3 + 7 = 10.
Red balls = 50 × 3/10 = 15.
Q20. Find the mean proportional between 9 and 16.
A. 10
B. 11
C. 12
D. 13
View Answer
Mean proportional = √(9 × 16) = √144 = 12.
Q21. If 15 : x = 5 : 8, find x.
A. 20
B. 22
C. 24
D. 25
View Answer
15/x = 5/8.
5x = 120.
x = 24.
Q22. Two numbers are in the ratio 5 : 7 and their sum is 144. Find the larger number.
A. 72
B. 80
C. 84
D. 90
View Answer
Total parts = 12.
One part = 144/12 = 12.
Larger number = 7 × 12 = 84.
Q23. The ratio of milk to water in a mixture is 4 : 1. If the mixture contains 25 litres, how much water does it contain?
A. 4 litres
B. 5 litres
C. 6 litres
D. 10 litres
View Answer
Total parts = 5.
Water = 25 × 1/5 = 5 litres.
Q24. The ratio of two numbers is 2 : 5. If 8 is added to each, the ratio becomes 2 : 3. Find the numbers.
A. 4 and 10
B. 6 and 15
C. 8 and 20
D. 10 and 25
View Answer
Let the numbers be 2x and 5x.
(2x + 8)/(5x + 8) = 2/3.
6x + 24 = 10x + 16.
4x = 8, so x = 2.
Therefore, the numbers are 4 and 10.
Q25. What is the ratio of 3 kg to 750 g?
A. 2 : 1
B. 3 : 1
C. 4 : 1
D. 5 : 2
View Answer
3 kg = 3,000 g.
Ratio = 3,000 : 750 = 4 : 1.
Q26. The ratio of A’s salary to B’s salary is 3 : 4. If B earns ₹32,000, how much does A earn?
A. ₹20,000
B. ₹22,000
C. ₹24,000
D. ₹26,000
View Answer
4 parts = ₹32,000.
1 part = ₹8,000.
A’s salary = 3 × ₹8,000 = ₹24,000.
Q27. If a : b = 7 : 11, what is (a + b) : b?
A. 7 : 11
B. 11 : 18
C. 18 : 11
D. 18 : 7
View Answer
Let a = 7x and b = 11x.
(a + b) : b = 18x : 11x = 18 : 11.
Q28. If a : b = 5 : 3, what is (a − b) : (a + b)?
A. 1 : 2
B. 1 : 3
C. 1 : 4
D. 2 : 5
View Answer
Let a = 5x and b = 3x.
(a − b) : (a + b) = 2x : 8x = 1 : 4.
Q29. The present ages of a father and son are in the ratio 7 : 2. If the father is 42 years old, what is the son’s age?
A. 10 years
B. 12 years
C. 14 years
D. 16 years
View Answer
7 parts = 42.
1 part = 6.
Son’s age = 2 × 6 = 12 years.
Q30. If 6 : 9 = 10 : x, find x.
A. 12
B. 15
C. 18
D. 20
View Answer
6/9 = 10/x.
6x = 90.
x = 15.
Q31. Divide 660 in the ratio 2 : 4 : 5. Find the largest share.
A. 240
B. 280
C. 300
D. 330
View Answer
Total parts = 11.
One part = 660/11 = 60.
Largest share = 5 × 60 = 300.
Q32. Two numbers are in the ratio 7 : 12. If their difference is 35, find the smaller number.
A. 42
B. 49
C. 56
D. 70
View Answer
Difference = 5 parts = 35.
1 part = 7.
Smaller number = 7 × 7 = 49.
Q33. What is the ratio of 45 minutes to 1.5 hours?
A. 1 : 2
B. 2 : 3
C. 3 : 4
D. 4 : 5
View Answer
1.5 hours = 90 minutes.
Ratio = 45 : 90 = 1 : 2.
Q34. If A : B = 4 : 7 and A = 36, find B.
A. 56
B. 60
C. 63
D. 72
View Answer
4 parts = 36.
1 part = 9.
B = 7 × 9 = 63.
Q35. If 8 workers complete a job in 15 days, how many days will 12 workers take, assuming equal efficiency?
A. 8 days
B. 10 days
C. 12 days
D. 14 days
View Answer
Workers and days are inversely proportional.
8 × 15 = 12 × x.
x = 10 days.
Q36. If 6 notebooks cost ₹210, what will 10 notebooks cost?
A. ₹300
B. ₹320
C. ₹350
D. ₹360
View Answer
Cost of one notebook = ₹210/6 = ₹35.
Cost of 10 = ₹350.
Q37. The ratio of men to women in an office is 7 : 5. If there are 144 employees, how many are women?
A. 50
B. 55
C. 60
D. 70
View Answer
Total parts = 12.
Women = 144 × 5/12 = 60.
Q38. The ratio of two numbers is 5 : 8. If their sum is 169, find the smaller number.
A. 60
B. 65
C. 70
D. 75
View Answer
Total parts = 13.
One part = 169/13 = 13.
Smaller number = 5 × 13 = 65.
Q39. Find the third proportional to 4 and 8.
A. 12
B. 14
C. 16
D. 18
View Answer
4 : 8 = 8 : x.
4x = 64.
x = 16.
Q40. If 3x = 5y, what is x : y?
A. 3 : 5
B. 5 : 3
C. 2 : 5
D. 5 : 2
View Answer
3x = 5y.
x/y = 5/3.
Therefore, x : y = 5 : 3.
Q41. The ratio of ₹5 to 50 paise is:
A. 5 : 1
B. 10 : 1
C. 1 : 10
D. 2 : 1
View Answer
₹5 = 500 paise.
Ratio = 500 : 50 = 10 : 1.
Q42. A sum is divided between A and B in the ratio 7 : 5. If A gets ₹280 more than B, find the total sum.
A. ₹1,400
B. ₹1,560
C. ₹1,680
D. ₹1,800
View Answer
Difference = 2 parts = ₹280.
1 part = ₹140.
Total = 12 × ₹140 = ₹1,680.
Q43. A and B have money in the ratio 4 : 7. If together they have ₹1,650, how much does A have?
A. ₹500
B. ₹600
C. ₹700
D. ₹1,050
View Answer
Total parts = 11.
One part = ₹1,650/11 = ₹150.
A = 4 × ₹150 = ₹600.
Q44. If a : b = 3 : 4, find 2a : 3b.
A. 1 : 2
B. 2 : 3
C. 3 : 4
D. 4 : 5
View Answer
Let a = 3x and b = 4x.
2a : 3b = 6x : 12x = 1 : 2.
Q45. If 18 men can complete a work in 20 days, how many men are required to complete it in 12 days?
A. 24
B. 28
C. 30
D. 36
View Answer
Men and days are inversely proportional.
18 × 20 = x × 12.
x = 30.
Q46. The ratio of two numbers is 9 : 11. If their sum is 100, find the larger number.
A. 45
B. 50
C. 55
D. 60
View Answer
Total parts = 20.
One part = 5.
Larger number = 11 × 5 = 55.
Q47. A recipe requires flour and sugar in the ratio 5 : 2. If 750 g of flour is used, how much sugar is required?
A. 250 g
B. 300 g
C. 350 g
D. 400 g
View Answer
5 parts = 750 g.
1 part = 150 g.
Sugar = 2 × 150 = 300 g.
Q48. If x : y = 4 : 9, find (x + y) : x.
A. 9 : 4
B. 13 : 4
C. 13 : 9
D. 4 : 13
View Answer
Let x = 4k and y = 9k.
(x + y) : x = 13k : 4k = 13 : 4.
Q49. A map uses a scale of 1 : 50,000. What actual distance is represented by 2 cm on the map?
A. 500 m
B. 1 km
C. 2 km
D. 5 km
View Answer
2 cm represents 2 × 50,000 = 100,000 cm.
100,000 cm = 1 km.
Q50. If A : B = 5 : 6 and B : C = 3 : 4, find A : B : C.
A. 5 : 6 : 8
B. 5 : 3 : 4
C. 10 : 6 : 8
D. 15 : 18 : 20
View Answer
B : C = 3 : 4 = 6 : 8.
Therefore, A : B : C = 5 : 6 : 8.
Q51. Two numbers are in the ratio 3 : 5. If 10 is added to each, their ratio becomes 5 : 7. Find the smaller number.
A. 12
B. 15
C. 18
D. 20
View Answer
Let numbers = 3x and 5x.
(3x + 10)/(5x + 10) = 5/7.
21x + 70 = 25x + 50.
x = 5.
Smaller number = 15.
Q52. If 12 machines produce 600 units in a day, how many units will 18 machines produce at the same rate?
A. 750
B. 800
C. 900
D. 1,000
View Answer
Production per machine = 600/12 = 50 units.
18 machines produce 18 × 50 = 900 units.
Q53. The ratio of the ages of two persons is 3 : 4. If the difference in their ages is 8 years, find the age of the older person.
A. 24 years
B. 28 years
C. 32 years
D. 36 years
View Answer
Difference = 1 part = 8 years.
Older person’s age = 4 × 8 = 32 years.
Q54. What is the ratio of 2.5 metres to 50 centimetres?
A. 3 : 1
B. 4 : 1
C. 5 : 1
D. 6 : 1
View Answer
2.5 metres = 250 cm.
Ratio = 250 : 50 = 5 : 1.
Q55. If 7 : 21 = 9 : x, find x.
A. 18
B. 21
C. 27
D. 30
View Answer
7/21 = 9/x = 1/3.
x = 27.
Q56. The incomes of A and B are in the ratio 4 : 5 and their expenditures are in the ratio 3 : 4. If each saves ₹5,000 and A earns ₹20,000, what is B’s income?
A. ₹22,000
B. ₹24,000
C. ₹25,000
D. ₹30,000
View Answer
Income ratio A : B = 4 : 5.
If A earns ₹20,000, one part = ₹5,000.
B’s income = 5 × ₹5,000 = ₹25,000.
Q57. Divide ₹2,400 among A, B and C in the ratio 3 : 4 : 5. What is B’s share?
A. ₹600
B. ₹700
C. ₹800
D. ₹1,000
View Answer
Total parts = 12.
B’s share = 2,400 × 4/12 = ₹800.
Q58. If a : b = 2 : 7, find (3a + b) : (a + b).
A. 11 : 9
B. 13 : 9
C. 9 : 13
D. 7 : 9
View Answer
Let a = 2x and b = 7x.
3a + b = 6x + 7x = 13x.
a + b = 9x.
Ratio = 13 : 9.
Q59. The ratio of two numbers is 11 : 13. If their difference is 18, find their sum.
A. 180
B. 198
C. 216
D. 234
View Answer
Difference = 2 parts = 18.
1 part = 9.
Sum = 24 × 9 = 216.
Q60. If 4 kg of rice costs ₹240, what will 7 kg cost at the same rate?
A. ₹360
B. ₹400
C. ₹420
D. ₹450
View Answer
Cost per kg = ₹240/4 = ₹60.
Cost of 7 kg = ₹420.
Q61. The ratio of boys to girls is 7 : 8. If there are 120 students, how many boys are there?
A. 48
B. 56
C. 60
D. 64
View Answer
Total parts = 15.
Boys = 120 × 7/15 = 56.
Q62. If x : y = 3 : 5 and y : z = 10 : 9, find x : z.
A. 2 : 3
B. 3 : 4
C. 4 : 5
D. 5 : 6
View Answer
x : y = 3 : 5 = 6 : 10.
y : z = 10 : 9.
x : z = 6 : 9 = 2 : 3.
Q63. A sum of ₹3,600 is divided in the ratio 2 : 3 : 4. Find the smallest share.
A. ₹600
B. ₹800
C. ₹1,000
D. ₹1,200
View Answer
Total parts = 9.
Smallest share = 3,600 × 2/9 = ₹800.
Q64. If 24 workers can finish a job in 15 days, how many workers are needed to finish it in 10 days?
A. 30
B. 32
C. 36
D. 40
View Answer
Workers × days = constant.
24 × 15 = x × 10.
x = 36.
Q65. The ratio of two numbers is 4 : 9. If the larger number is 72, find their difference.
A. 32
B. 36
C. 40
D. 48
View Answer
9 parts = 72, so 1 part = 8.
Smaller number = 4 × 8 = 32.
Difference = 72 − 32 = 40.
Q66. Find the fourth proportional to 6, 9 and 14.
A. 18
B. 20
C. 21
D. 24
View Answer
6 : 9 = 14 : x.
6x = 126.
x = 21.
Q67. If a : b = 4 : 5, what is a² : b²?
A. 4 : 5
B. 8 : 10
C. 16 : 25
D. 20 : 25
View Answer
a² : b² = 4² : 5² = 16 : 25.
Q68. A and B invest money in the ratio 3 : 5. If the total profit is ₹16,000, what is B’s share?
A. ₹6,000
B. ₹8,000
C. ₹10,000
D. ₹12,000
View Answer
Total parts = 8.
B’s share = ₹16,000 × 5/8 = ₹10,000.
Q69. The ratio of the present ages of A and B is 5 : 7. If their total age is 60 years, find A’s age.
A. 20 years
B. 25 years
C. 30 years
D. 35 years
View Answer
Total parts = 12.
One part = 60/12 = 5.
A’s age = 5 × 5 = 25 years.
Q70. If 8 : 12 = x : 18, find x.
A. 10
B. 12
C. 14
D. 16
View Answer
8/12 = x/18.
x = 18 × 8/12 = 12.
Q71. A mixture contains milk and water in the ratio 7 : 3. If it contains 21 litres of milk, how much water is present?
A. 6 litres
B. 9 litres
C. 12 litres
D. 14 litres
View Answer
7 parts = 21 litres.
1 part = 3 litres.
Water = 3 × 3 = 9 litres.
Q72. The ratio of two numbers is 6 : 11. If their difference is 25, find the larger number.
A. 45
B. 50
C. 55
D. 60
View Answer
Difference = 5 parts = 25.
1 part = 5.
Larger number = 11 × 5 = 55.
Q73. If 15 men earn ₹18,000 in a certain period, how much will 25 men earn at the same rate?
A. ₹25,000
B. ₹27,000
C. ₹30,000
D. ₹32,000
View Answer
Earning per man = ₹18,000/15 = ₹1,200.
25 men earn = 25 × ₹1,200 = ₹30,000.
Q74. If a : b = 7 : 5, find (a + b) : (a − b).
A. 5 : 1
B. 6 : 1
C. 7 : 2
D. 12 : 5
View Answer
Let a = 7x and b = 5x.
(a + b) : (a − b) = 12x : 2x = 6 : 1.
Q75. A bag contains ₹1, ₹2 and ₹5 coins in the ratio 4 : 3 : 2 by number. If there are 45 coins, how many ₹5 coins are there?
A. 8
B. 10
C. 12
D. 15
View Answer
Total parts = 4 + 3 + 2 = 9.
₹5 coins = 45 × 2/9 = 10.
Q76. What is the ratio of 1.2 kg to 300 g?
A. 2 : 1
B. 3 : 1
C. 4 : 1
D. 5 : 1
View Answer
1.2 kg = 1,200 g.
Ratio = 1,200 : 300 = 4 : 1.
Q77. If 20 litres of petrol costs ₹2,000, what will 35 litres cost at the same rate?
A. ₹3,000
B. ₹3,250
C. ₹3,500
D. ₹3,750
View Answer
Cost per litre = ₹2,000/20 = ₹100.
Cost of 35 litres = ₹3,500.
Q78. If A : B = 3 : 7 and B : C = 14 : 5, find A : B : C.
A. 3 : 7 : 5
B. 6 : 14 : 5
C. 6 : 7 : 5
D. 3 : 14 : 5
View Answer
A : B = 3 : 7 = 6 : 14.
B : C = 14 : 5.
Therefore, A : B : C = 6 : 14 : 5.
Q79. A sum of money is divided between A and B in the ratio 5 : 8. If B receives ₹450 more than A, find the total amount.
A. ₹1,650
B. ₹1,800
C. ₹1,950
D. ₹2,100
View Answer
Difference = 3 parts = ₹450.
1 part = ₹150.
Total amount = 13 × ₹150 = ₹1,950.
Q80. Find the mean proportional between 4 and 25.
A. 8
B. 10
C. 12
D. 15
View Answer
Mean proportional = √(4 × 25) = √100 = 10.
Q81. If the ratio of two numbers is 4 : 5 and their product is 500, find the smaller number.
A. 16
B. 20
C. 25
D. 40
View Answer
Let numbers be 4x and 5x.
20x² = 500.
x² = 25, so x = 5.
Smaller number = 4 × 5 = 20.
Q82. The speeds of two cars are in the ratio 3 : 4. If the slower car travels at 60 km/h, find the speed of the faster car.
A. 70 km/h
B. 75 km/h
C. 80 km/h
D. 90 km/h
View Answer
3 parts = 60 km/h.
1 part = 20 km/h.
Faster speed = 4 × 20 = 80 km/h.
Q83. If 5 : 8 = 15 : x, find x.
A. 20
B. 22
C. 24
D. 25
View Answer
5/8 = 15/x.
5x = 120.
x = 24.
Q84. The ratio of the length to breadth of a rectangle is 5 : 3. If its length is 25 cm, find its breadth.
A. 10 cm
B. 12 cm
C. 15 cm
D. 18 cm
View Answer
5 parts = 25 cm.
1 part = 5 cm.
Breadth = 3 × 5 = 15 cm.
Q85. The ratio of passed to failed students is 9 : 1. If 50 students appeared, how many failed?
A. 4
B. 5
C. 6
D. 10
View Answer
Total parts = 10.
Failed students = 50 × 1/10 = 5.
Q86. If 5 workers can complete a task in 24 days, how many days will 8 workers take?
A. 12 days
B. 15 days
C. 18 days
D. 20 days
View Answer
Workers and days are inversely proportional.
5 × 24 = 8 × x.
x = 15 days.
Q87. If a : b = 2 : 3 and b : c = 6 : 7, find a : c.
A. 2 : 7
B. 4 : 7
C. 6 : 7
D. 4 : 9
View Answer
a : b = 2 : 3 = 4 : 6.
b : c = 6 : 7.
Therefore, a : c = 4 : 7.
Q88. Two numbers are in the ratio 5 : 9. If 5 is subtracted from each, the ratio becomes 1 : 2. Find the smaller number.
A. 20
B. 25
C. 30
D. 35
View Answer
Let numbers be 5x and 9x.
(5x − 5)/(9x − 5) = 1/2.
10x − 10 = 9x − 5.
x = 5.
Smaller number = 25.
Q89. The ratio of two numbers is 3 : 7. If their sum is 150, find their difference.
A. 45
B. 50
C. 60
D. 75
View Answer
Total parts = 10.
One part = 15.
Difference = 4 × 15 = 60.
Q90. If 9 books cost ₹540, how many books can be bought for ₹900 at the same rate?
A. 12
B. 15
C. 18
D. 20
View Answer
Cost per book = ₹540/9 = ₹60.
Number of books = ₹900/₹60 = 15.
Q91. A and B divide a profit in the ratio 7 : 3. If A receives ₹8,400, find the total profit.
A. ₹10,000
B. ₹12,000
C. ₹14,000
D. ₹16,000
View Answer
7 parts = ₹8,400.
1 part = ₹1,200.
Total profit = 10 × ₹1,200 = ₹12,000.
Q92. If a : b = 3 : 5, find (2a + b) : (a + 2b).
A. 7 : 11
B. 11 : 13
C. 11 : 15
D. 13 : 11
View Answer
Let a = 3x and b = 5x.
2a + b = 6x + 5x = 11x.
a + 2b = 3x + 10x = 13x.
Ratio = 11 : 13.
Q93. A train covers 180 km in 3 hours. At the same speed, how far will it travel in 5 hours?
A. 240 km
B. 270 km
C. 300 km
D. 360 km
View Answer
Distance per hour = 180/3 = 60 km.
In 5 hours = 60 × 5 = 300 km.
Q94. The ratio of three numbers is 2 : 3 : 7 and their sum is 144. Find the largest number.
A. 72
B. 78
C. 84
D. 96
View Answer
Total parts = 12.
One part = 144/12 = 12.
Largest number = 7 × 12 = 84.
Q95. If 16 : 24 = x : 36, find x.
A. 20
B. 22
C. 24
D. 28
View Answer
16/24 = x/36.
x = 36 × 16/24 = 24.
Q96. A mixture contains 32 litres of milk and 8 litres of water. What is the ratio of milk to water?
A. 2 : 1
B. 3 : 1
C. 4 : 1
D. 5 : 1
View Answer
Milk : Water = 32 : 8 = 4 : 1.
Q97. The ratio of A’s income to B’s income is 5 : 7. If B earns ₹14,000 more than A, find A’s income.
A. ₹28,000
B. ₹35,000
C. ₹42,000
D. ₹49,000
View Answer
Difference = 2 parts = ₹14,000.
1 part = ₹7,000.
A’s income = 5 × ₹7,000 = ₹35,000.
Q98. If 14 : 21 = 18 : x, find x.
A. 24
B. 27
C. 30
D. 36
View Answer
14/21 = 18/x.
14x = 378.
x = 27.
Q99. Two numbers are in the ratio 4 : 7. If 6 is added to each, their ratio becomes 5 : 8. Find the smaller number.
A. 18
B. 20
C. 24
D. 28
View Answer
Let the numbers be 4x and 7x.
(4x + 6)/(7x + 6) = 5/8.
32x + 48 = 35x + 30.
3x = 18, so x = 6.
Smaller number = 4 × 6 = 24.
Q100. A total of ₹5,400 is divided among A, B and C in the ratio 2 : 3 : 4. What is the difference between C’s share and A’s share?
A. ₹900
B. ₹1,000
C. ₹1,200
D. ₹1,500
View Answer
Total parts = 2 + 3 + 4 = 9.
One part = ₹5,400/9 = ₹600.
A’s share = ₹1,200 and C’s share = ₹2,400.
Difference = ₹2,400 − ₹1,200 = ₹1,200.
Regular practice of Ratio and Proportion Questions can help you build a strong foundation in quantitative aptitude. The concepts of ratio and proportion are also closely connected with topics such as percentages, profit and loss, mixtures, partnership, time and work, speed and distance, and many other arithmetic problems.
These 100 Ratio and Proportion questions with answers cover a variety of problems involving ratios, proportions, distribution, ages, income, mixtures, direct proportion, inverse proportion, and practical applications. Review the explanation whenever you answer a question incorrectly and try solving it again without looking at the solution.
Continue practicing Ratio and Proportion MCQs regularly to improve your speed and accuracy for SSC, Railway, Banking, Defence, Police, and other competitive examinations.
Maths(Quantitative Aptitude) MCQs
Practice important Topic wise Maths/Quantitative Aptitude Questions with Solutions for competitive exams.