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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 297 · 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).

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  1. 1.Divide ₹319 between Saanvi and Manav in the ratio 9 : 2. How much does Saanvi get (in ₹)?
  2. 2.2 : 14 = 16 : ?
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  5. 5.Divide ₹176 between Pooja and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?
  6. 6.8 : 6 = 48 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  8. 8.10 : 3 = 70 : ?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  14. 14.9 : 10 = 54 : ?
  15. 15.8 : 13 = 56 : ?
  16. 16.8 : 12 = 56 : ?
  17. 17.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.8 : 5 = 40 : ?
  21. 21.5 : 7 = 40 : ?
  22. 22.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  23. 23.Divide ₹451 between Rohan and Tara in the ratio 2 : 9. How much does Tara get (in ₹)?
  24. 24.Divide ₹324 between Kabir and Zoya in the ratio 1 : 5. How much does Kabir get (in ₹)?
  25. 25.Divide ₹49 between Karan and Dev in the ratio 2 : 5. How much does Karan get (in ₹)?
  26. 26.12 : 6 = 60 : ?
  27. 27.Divide ₹156 between Priya and Zoya in the ratio 5 : 7. How much does Priya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  29. 29.Divide ₹68 between Dev and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  30. 30.Divide ₹84 between Aarav and Manav in the ratio 6 : 1. How much does Aarav get (in ₹)?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.12 : 9 = 60 : ?
  33. 33.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  34. 34.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  35. 35.2 : 15 = 18 : ?
  36. 36.7 : 6 = 49 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  38. 38.12 : 10 = 108 : ?
  39. 39.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  40. 40.9 : 8 = 18 : ?

Answer key

  1. 261
  2. 112
  3. 125
  4. 21
  5. 132
  6. 36
  7. 42
  8. 21
  9. 12
  10. 225
  11. 18
  12. 35
  13. 4
  14. 60
  15. 91
  16. 84
  17. 144
  18. 96
  19. 20
  20. 25
  21. 56
  22. 32
  23. 369
  24. 54
  25. 14
  26. 30
  27. 65
  28. 2
  29. 51
  30. 72
  31. 81
  32. 45
  33. 54
  34. 63
  35. 135
  36. 42
  37. 10
  38. 90
  39. 49
  40. 16

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