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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 490 · 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 ₹88 between Kabir and Dev in the ratio 7 : 1. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  4. 4.Divide ₹286 between Tara and Pooja in the ratio 2 : 9. How much does Tara get (in ₹)?
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.Divide ₹114 between Saanvi and Kabir in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  10. 10.11 : 2 = 99 : ?
  11. 11.9 : 5 = 72 : ?
  12. 12.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  13. 13.10 : 7 = 20 : ?
  14. 14.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  15. 15.Divide ₹245 between Ananya and Sneha in the ratio 1 : 6. How much does Sneha get (in ₹)?
  16. 16.Divide ₹66 between Diya and Priya in the ratio 3 : 8. How much does Priya get (in ₹)?
  17. 17.12 : 8 = 48 : ?
  18. 18.Divide ₹432 between Ananya and Tara in the ratio 3 : 5. How much does Ananya get (in ₹)?
  19. 19.Divide ₹198 between Rohan and Dev in the ratio 9 : 2. How much does Rohan get (in ₹)?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  23. 23.Divide ₹140 between Aditya and Arjun in the ratio 6 : 1. How much does Aditya get (in ₹)?
  24. 24.Divide ₹330 between Arjun and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.2 : 7 = 10 : ?
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.10 : 3 = 50 : ?
  29. 29.Divide ₹266 between Arjun and Meera in the ratio 2 : 5. How much does Meera get (in ₹)?
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.10 : 9 = 20 : ?
  34. 34.Divide ₹119 between Ananya and Rohan in the ratio 4 : 3. How much does Ananya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  38. 38.2 : 10 = 8 : ?
  39. 39.Divide ₹357 between Aarav and Arjun in the ratio 8 : 9. How much does Aarav get (in ₹)?
  40. 40.10 : 9 = 50 : ?

Answer key

  1. 11
  2. 8
  3. 18
  4. 52
  5. 81
  6. 100
  7. 45
  8. 19
  9. 18
  10. 18
  11. 40
  12. 64
  13. 14
  14. 96
  15. 210
  16. 48
  17. 32
  18. 162
  19. 162
  20. 20
  21. 225
  22. 63
  23. 120
  24. 33
  25. 27
  26. 35
  27. 18
  28. 15
  29. 190
  30. 72
  31. 112
  32. 12
  33. 18
  34. 68
  35. 45
  36. 72
  37. 45
  38. 40
  39. 168
  40. 45

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