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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 208 · 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. 1.3 : 2 = 9 : ?
  2. 2.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.Divide ₹720 between Priya and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  5. 5.10 : 3 = 80 : ?
  6. 6.Divide ₹297 between Aditya and Manav in the ratio 1 : 8. How much does Manav get (in ₹)?
  7. 7.Divide ₹140 between Meera and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  8. 8.Divide ₹81 between Farhan and Arjun in the ratio 5 : 4. How much does Arjun get (in ₹)?
  9. 9.Divide ₹324 between Manav and Ananya in the ratio 1 : 5. How much does Manav get (in ₹)?
  10. 10.12 : 5 = 48 : ?
  11. 11.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  13. 13.3 : 11 = 18 : ?
  14. 14.Divide ₹100 between Aarav and Ananya in the ratio 2 : 3. How much does Aarav get (in ₹)?
  15. 15.8 : 2 = 40 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  19. 19.5 : 12 = 45 : ?
  20. 20.5 : 4 = 15 : ?
  21. 21.Divide ₹90 between Kabir and Tara in the ratio 5 : 1. How much does Kabir get (in ₹)?
  22. 22.4 : 2 = 24 : ?
  23. 23.Divide ₹180 between Nisha and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?
  24. 24.Divide ₹85 between Aditya and Meera in the ratio 9 : 8. How much does Aditya get (in ₹)?
  25. 25.Divide ₹160 between Meera and Aarav in the ratio 9 : 7. How much does Meera get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  27. 27.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  28. 28.Divide ₹15 between Dev and Rohan in the ratio 2 : 1. How much does Dev get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  33. 33.Divide ₹72 between Nisha and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  34. 34.Divide ₹187 between Manav and Ananya in the ratio 8 : 9. How much does Manav get (in ₹)?
  35. 35.11 : 3 = 66 : ?
  36. 36.Divide ₹70 between Sneha and Tara in the ratio 4 : 3. How much does Sneha get (in ₹)?
  37. 37.Divide ₹299 between Diya and Dev in the ratio 8 : 5. How much does Dev get (in ₹)?
  38. 38.6 : 12 = 12 : ?
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.5 : 3 = 15 : ?

Answer key

  1. 6
  2. 56
  3. 63
  4. 405
  5. 24
  6. 264
  7. 28
  8. 36
  9. 54
  10. 20
  11. 12
  12. 24
  13. 66
  14. 40
  15. 10
  16. 14
  17. 45
  18. 6
  19. 108
  20. 12
  21. 75
  22. 12
  23. 36
  24. 45
  25. 90
  26. 72
  27. 48
  28. 10
  29. 30
  30. 25
  31. 12
  32. 21
  33. 42
  34. 88
  35. 18
  36. 40
  37. 115
  38. 24
  39. 128
  40. 9

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