Questions of Ratio and Proportions

By /

Sanskar

  1. Express 20:60 in simplest form.
  2. Write the ratio of 45 minutes to 3 hours.
  3. Find the ratio of 50 paise to ₹5.
  4. Simplify the ratio 72:108.
  5. Divide 120 in the ratio 2:3.
  6. A box contains 15 red balls and 25 blue balls. Find the ratio of red balls to blue balls.
  7. Find the ratio of 2 km to 1500 m.
  8. Find the ratio of 500 g to 2.5 kg.
  9. Express 75 cm to 2 m in the simplest form.
  10. The monthly income of A and B is ₹6000 and ₹4500. Find the ratio of their incomes.
  11. A class has 18 boys and 12 girls. Find the ratio of boys to total students.
  12. Write the ratio of ₹2.50 to ₹5.00 in simplest form.
  13. Simplify 36:48.
  14. The cost of a pen is ₹10 and that of a pencil is ₹5. Find the ratio of cost of pen to pencil.
  15. Find the ratio of 2 dozen to 36.
  16. Find the ratio of 250 ml to 1 litre.
  17. Express 1 hour to 2 days in the simplest form.
  18. A man has 60 kg wheat and 90 kg rice. Find the ratio of wheat to rice.
  19. Find the ratio of 81 to 108.
  20. Express 400 g to 2.4 kg.
  21. Find the ratio of the number of vowels to consonants in the word “RATIO”.
  22. Write the ratio of 3 weeks to 21 days.
  23. Simplify the ratio 120:80.
  24. Divide ₹300 in the ratio 4:1.
  25. A recipe needs 250 g sugar and 500 g flour. Find the ratio of sugar to flour.
  26. Express 45 minutes to 2 hours in the simplest form.
  27. The marks obtained by Ravi are 36 out of 45. Find the ratio of marks obtained to total marks.
  28. Write the ratio of 4 litres to 250 ml.
  29. Find the ratio of 35:84 in simplest form.
  30. The cost of 5 pens is ₹50 and 2 pencils is ₹10. Find the ratio of cost of pens to pencils.

Proportion Questions

  1. Determine whether 2, 4, 6, 12 are in proportion.
  2. Are 16, 24, 20, 30 in proportion?
  3. Find the fourth proportional to 2, 6, 8.
  4. Find the mean proportional between 9 and 25.
  5. If 3:5 = x:20, find x.
  6. If 12:18 = 20:x, find x.
  7. If x:30 = 2:5, find x.
  8. Find the fourth proportional to 15, 25, 30.
  9. Are 5, 10, 8, 16 in proportion?
  10. Find the mean proportional between 8 and 18.
  11. If 7:x = 21:63, find x.
  12. If 18:24 = x:40, find x.
  13. Find the third proportional to 4 and 12.
  14. If 10:15 = x:45, find x.
  15. Find the fourth proportional to 3, 9, 12.
  16. If 24:x = 6:15, find x.
  17. Are 12, 18, 20, 30 in proportion?
  18. If 25:35 = 15:x, find x.
  19. If 8:x = 4:20, find x.
  20. Find the mean proportional between 16 and 36.

Word Problems on Ratio

  1. The ages of A and B are in the ratio 3:5. If A is 12 years old, find B’s age.
  2. The monthly salaries of two friends are in the ratio 4:7. If the first earns ₹8000, find the salary of the second.
  3. The cost of a pen and a pencil are in the ratio 5:2. If the pen costs ₹50, find the cost of the pencil.
  4. The length and breadth of a rectangle are in the ratio 7:5. If the breadth is 25 cm, find the length.
  5. The income and expenditure of a man are in the ratio 7:5. If his income is ₹3500, find his expenditure.
  6. The weight of two students are in the ratio 5:6. If the lighter one weighs 50 kg, find the weight of the other.
  7. The pocket money of A and B are in the ratio 3:4. If A gets ₹60, how much does B get?
  8. A bag contains 24 red marbles and 36 green marbles. Find the ratio of red marbles to total marbles.
  9. A man divided ₹720 between his two sons in the ratio 5:7. Find each share.
  10. The marks obtained by two students are in the ratio 7:9. If the first student scored 56 marks, find the marks of the second.
  11. Divide 480 into two parts in the ratio 3:5.
  12. Divide 108 into two parts in the ratio 4:5.
  13. Divide ₹1200 among A, B, and C in the ratio 2:3:5.
  14. Divide 360 sweets among three friends in the ratio 1:2:3.
  15. A man divided ₹2100 among his three sons in the ratio 1:4:5. Find the share of each.
  16. The angles of a triangle are in the ratio 2:3:4. Find the angles.
  17. The sides of a triangle are in the ratio 3:4:5. If its perimeter is 72 cm, find its sides.
  18. A school has 240 boys and 360 girls. Find the ratio of boys to girls.
  19. A basket contains 50 apples and 30 oranges. Find the ratio of apples to oranges.
  20. A class has 20 boys and 25 girls. Find the ratio of girls to total students.

Word Problems on Proportion

  1. If 5 pencils cost ₹20, how much will 12 pencils cost?
  2. If 7 pens cost ₹84, what is the cost of 5 pens?
  3. If 12 oranges cost ₹60, how much will 20 oranges cost?
  4. If 8 notebooks cost ₹240, find the cost of 15 notebooks.
  5. If 25 toys cost ₹500, what is the cost of 18 toys?
  6. A car travels 120 km in 2 hours. How much distance will it cover in 5 hours?
  7. If 8 workers finish a work in 15 days, how many workers are required to finish it in 10 days?
  8. If 6 men can dig a well in 12 days, how many days will 9 men take?
  9. If 20 men can build a wall in 15 days, how long will 30 men take to build it?
  10. If 12 cows eat 240 kg grass in a day, how much will 18 cows eat?
  11. If 8 books cost ₹320, how much will 10 books cost?
  12. If 15 pens cost ₹225, what is the cost of 25 pens?
  13. If 10 men can complete a work in 24 days, how many men are required to complete it in 15 days?
  14. A train runs 300 km in 5 hours. How much distance will it cover in 8 hours?
  15. If 40 machines produce 1600 toys, how many machines are required to produce 2000 toys?
  16. If 9 workers earn ₹450 in 5 days, how much will 6 workers earn in 10 days?
  17. If 7 men earn ₹560 in 7 days, how much will 5 men earn in 14 days?
  18. If 25 cows eat 300 kg grass in a day, how much grass will 40 cows eat?
  19. If 15 books cost ₹225, how much will 18 books cost?
  20. If 16 oranges cost ₹48, what is the cost of 25 oranges?

Mixed Ratio & Proportion Word Problems

  1. If the cost of 12 pens is ₹96, find the cost of 8 pens.
  2. If 4 workers can finish a task in 12 days, how many days will 6 workers take?
  3. If the price of 5 kg of sugar is ₹150, what will be the price of 8 kg?
  4. If 10 machines can produce 2000 toys in 5 days, how many machines are needed to produce 4000 toys in 10 days?
  5. If 15 men can do a work in 20 days, how long will 25 men take?
  6. If 9 men can build a wall in 18 days, how many men are required to build it in 12 days?
  7. A train travels 360 km in 6 hours. How far will it travel in 10 hours?
  8. If 8 men earn ₹320 in 4 days, how much will 12 men earn in 6 days?
  9. If the cost of 5 tables is ₹3500, find the cost of 8 tables.
  10. If 12 pumps can empty a tank in 6 hours, how many pumps are required to empty the tank in 4 hours?

Answers

  1. 1:3
  2. 1:4
  3. 1:10
  4. 2:3
  5. 48 and 72
  6. 3:5
  7. 4:3
  8. 1:5
  9. 3:8
  10. 4:3
  11. 3:5
  12. 1:2
  13. 3:4
  14. 2:1
  15. 2:3
  16. 1:4
  17. 1:48
  18. 2:3
  19. 3:4
  20. 1:6
  21. 3:2
  22. 1:1
  23. 3:2
  24. ₹240 and ₹60
  25. 1:2
  26. 3:8
  27. 4:5
  28. 16:1
  29. 5:12
  30. 5:1
  31. Yes
  32. Yes
  33. 24
  34. 15
  35. 12
  36. 30
  37. 12
  38. 50
  39. Yes
  40. 12
  41. 21
  42. 30
  43. 36
  44. 30
  45. 36
  46. 60
  47. Yes
  48. 21
  49. 40
  50. 24
  51. 20 years
  52. ₹14,000
  53. ₹20
  54. 35 cm
  55. ₹2,500
  56. 60 kg
  57. ₹80
  58. 2:5
  59. ₹300 and ₹420
  60. 72 marks
  61. 180 and 300
  62. 48 and 60
  63. ₹240, ₹360, ₹600
  64. 60, 120, 180
  65. ₹210, ₹840, ₹1050
  66. 40°, 60°, 80°
  67. 18 cm, 24 cm, 30 cm
  68. 2:3
  69. 5:3
  70. 5:9
  71. ₹48
  72. ₹60
  73. ₹100
  74. ₹450
  75. ₹360
  76. 300 km
  77. 12 workers
  78. 8 days
  79. 10 days
  80. 360 kg
  81. ₹400
  82. ₹375
  83. 16 men
  84. 480 km
  85. 50 machines
  86. ₹600
  87. ₹800
  88. 480 kg
  89. ₹270
  90. ₹75
  91. ₹64
  92. 8 days
  93. ₹240
  94. 10 machines
  95. 12 days
  96. 14 men
  97. 600 km
  98. ₹720
  99. ₹5,600
  100. 18 pumps

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