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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 273 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

NameDateTime takenScore ___ / 40
  1. 1.5 : 9 = 45 : ?
  2. 2.Divide ₹767 between Meera and Rohan in the ratio 6 : 7. How much does Meera get (in ₹)?
  3. 3.2 : 8 = 14 : ?
  4. 4.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  5. 5.12 : 3 = 108 : ?
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.5 : 9 = 20 : ?
  12. 12.Divide ₹63 between Priya and Aditya in the ratio 1 : 6. How much does Priya get (in ₹)?
  13. 13.Divide ₹180 between Arjun and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  15. 15.Divide ₹144 between Rohan and Priya in the ratio 5 : 4. How much does Priya get (in ₹)?
  16. 16.Divide ₹70 between Manav and Diya in the ratio 1 : 6. How much does Manav get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  18. 18.10 : 2 = 30 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  21. 21.8 : 14 = 72 : ?
  22. 22.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  24. 24.9 : 3 = 81 : ?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  29. 29.9 : 3 = 72 : ?
  30. 30.12 : 14 = 36 : ?
  31. 31.Divide ₹200 between Diya and Tara in the ratio 9 : 1. How much does Diya get (in ₹)?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.12 : 9 = 96 : ?
  34. 34.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  35. 35.10 : 15 = 30 : ?
  36. 36.Divide ₹175 between Kavya and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.7 : 4 = 28 : ?
  40. 40.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).

Answer key

  1. 81
  2. 354
  3. 56
  4. 27
  5. 27
  6. 9
  7. 56
  8. 28
  9. 32
  10. 45
  11. 36
  12. 9
  13. 54
  14. 48
  15. 64
  16. 10
  17. 14
  18. 6
  19. 64
  20. 20
  21. 126
  22. 36
  23. 225
  24. 27
  25. 200
  26. 20
  27. 14
  28. 18
  29. 24
  30. 42
  31. 180
  32. 125
  33. 72
  34. 49
  35. 45
  36. 35
  37. 18
  38. 8
  39. 16
  40. 75

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