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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 495 · 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.Divide ₹40 between Manav and Dev in the ratio 2 : 3. How much does Manav get (in ₹)?
  2. 2.11 : 15 = 44 : ?
  3. 3.9 : 5 = 81 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  7. 7.Divide ₹220 between Tara and Zoya in the ratio 1 : 3. How much does Tara get (in ₹)?
  8. 8.7 : 5 = 35 : ?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.2 : 3 = 6 : ?
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.12 : 13 = 84 : ?
  15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  16. 16.Divide ₹301 between Meera and Nisha in the ratio 3 : 4. How much does Meera get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  18. 18.Divide ₹45 between Isha and Priya in the ratio 4 : 1. How much does Isha get (in ₹)?
  19. 19.Divide ₹702 between Dev and Rohan in the ratio 6 : 7. How much does Dev get (in ₹)?
  20. 20.10 : 3 = 60 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  22. 22.Divide ₹432 between Karan and Manav in the ratio 5 : 4. How much does Karan get (in ₹)?
  23. 23.Divide ₹708 between Tara and Rahul in the ratio 7 : 5. How much does Tara get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  26. 26.11 : 4 = 44 : ?
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.11 : 6 = 99 : ?
  29. 29.11 : 3 = 33 : ?
  30. 30.Divide ₹784 between Kabir and Saanvi in the ratio 9 : 7. How much does Kabir get (in ₹)?
  31. 31.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹45 between Rohan and Aditya in the ratio 1 : 2. How much does Rohan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  37. 37.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  38. 38.4 : 12 = 32 : ?
  39. 39.2 : 14 = 18 : ?
  40. 40.Divide ₹117 between Sneha and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?

Answer key

  1. 16
  2. 60
  3. 45
  4. 25
  5. 63
  6. 144
  7. 55
  8. 25
  9. 8
  10. 9
  11. 21
  12. 175
  13. 16
  14. 91
  15. 100
  16. 129
  17. 45
  18. 36
  19. 324
  20. 18
  21. 70
  22. 240
  23. 413
  24. 20
  25. 30
  26. 16
  27. 45
  28. 54
  29. 9
  30. 441
  31. 96
  32. 128
  33. 15
  34. 15
  35. 27
  36. 28
  37. 72
  38. 96
  39. 126
  40. 63

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