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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 760 · 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 : 4 = 25 : ?
  2. 2.Divide ₹616 between Manav and Ananya in the ratio 2 : 9. How much does Manav get (in ₹)?
  3. 3.Divide ₹136 between Rahul and Dev in the ratio 1 : 3. How much does Rahul get (in ₹)?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.11 : 7 = 55 : ?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  7. 7.2 : 6 = 12 : ?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.Divide ₹143 between Arjun and Pooja in the ratio 3 : 8. How much does Arjun get (in ₹)?
  10. 10.Divide ₹520 between Rohan and Nisha in the ratio 3 : 7. How much does Nisha get (in ₹)?
  11. 11.Divide ₹350 between Saanvi and Karan in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  15. 15.Divide ₹464 between Kabir and Meera in the ratio 7 : 1. How much does Meera get (in ₹)?
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  18. 18.Divide ₹168 between Ishaan and Sneha in the ratio 3 : 5. How much does Sneha get (in ₹)?
  19. 19.7 : 5 = 49 : ?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.12 : 5 = 60 : ?
  22. 22.Divide ₹840 between Farhan and Saanvi in the ratio 9 : 5. How much does Saanvi get (in ₹)?
  23. 23.2 : 9 = 14 : ?
  24. 24.2 : 4 = 6 : ?
  25. 25.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  29. 29.Divide ₹25 between Ananya and Arjun in the ratio 3 : 2. How much does Ananya get (in ₹)?
  30. 30.3 : 2 = 6 : ?
  31. 31.Divide ₹96 between Isha and Rahul in the ratio 3 : 1. How much does Isha get (in ₹)?
  32. 32.Divide ₹182 between Tara and Nisha in the ratio 6 : 1. How much does Tara get (in ₹)?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.5 : 6 = 40 : ?
  35. 35.Divide ₹40 between Kavya and Pooja in the ratio 3 : 2. How much does Pooja get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  37. 37.Divide ₹76 between Arjun and Sneha in the ratio 1 : 3. How much does Sneha get (in ₹)?
  38. 38.7 : 13 = 21 : ?
  39. 39.10 : 15 = 70 : ?
  40. 40.Divide ₹207 between Aarav and Tara in the ratio 8 : 1. How much does Aarav get (in ₹)?

Answer key

  1. 20
  2. 112
  3. 34
  4. 81
  5. 35
  6. 27
  7. 36
  8. 8
  9. 39
  10. 364
  11. 50
  12. 30
  13. 64
  14. 10
  15. 58
  16. 150
  17. 56
  18. 105
  19. 35
  20. 24
  21. 25
  22. 300
  23. 63
  24. 12
  25. 54
  26. 20
  27. 12
  28. 4
  29. 15
  30. 4
  31. 72
  32. 156
  33. 50
  34. 48
  35. 16
  36. 12
  37. 57
  38. 39
  39. 105
  40. 184

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