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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 408 · 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. 1.9 : 5 = 27 : ?
  2. 2.Divide ₹275 between Tara and Saanvi in the ratio 3 : 8. How much does Saanvi get (in ₹)?
  3. 3.3 : 9 = 9 : ?
  4. 4.Divide ₹333 between Farhan and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  5. 5.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  6. 6.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  8. 8.Divide ₹250 between Dev and Kabir in the ratio 3 : 7. How much does Dev get (in ₹)?
  9. 9.2 : 5 = 8 : ?
  10. 10.4 : 8 = 24 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  13. 13.9 : 6 = 72 : ?
  14. 14.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  15. 15.Divide ₹459 between Priya and Nisha in the ratio 1 : 8. How much does Priya get (in ₹)?
  16. 16.Divide ₹180 between Isha and Dev in the ratio 1 : 3. How much does Dev get (in ₹)?
  17. 17.Divide ₹189 between Aarav and Arjun in the ratio 8 : 1. How much does Arjun get (in ₹)?
  18. 18.Divide ₹238 between Arjun and Priya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.Divide ₹637 between Priya and Sneha in the ratio 4 : 9. How much does Sneha get (in ₹)?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  23. 23.Divide ₹175 between Vivaan and Tara in the ratio 4 : 1. How much does Tara get (in ₹)?
  24. 24.12 : 13 = 84 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  26. 26.Divide ₹350 between Kabir and Pooja in the ratio 3 : 7. How much does Kabir get (in ₹)?
  27. 27.10 : 13 = 30 : ?
  28. 28.6 : 9 = 12 : ?
  29. 29.Divide ₹200 between Dev and Rohan in the ratio 3 : 7. How much does Dev get (in ₹)?
  30. 30.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  33. 33.Divide ₹18 between Ishaan and Diya in the ratio 2 : 1. How much does Diya get (in ₹)?
  34. 34.10 : 5 = 40 : ?
  35. 35.9 : 11 = 81 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  38. 38.6 : 15 = 24 : ?
  39. 39.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  40. 40.Divide ₹630 between Manav and Sneha in the ratio 7 : 8. How much does Sneha get (in ₹)?

Answer key

  1. 15
  2. 200
  3. 27
  4. 74
  5. 32
  6. 32
  7. 27
  8. 75
  9. 20
  10. 48
  11. 42
  12. 5
  13. 48
  14. 18
  15. 51
  16. 135
  17. 21
  18. 136
  19. 36
  20. 441
  21. 50
  22. 175
  23. 35
  24. 91
  25. 45
  26. 105
  27. 39
  28. 18
  29. 60
  30. 36
  31. 24
  32. 14
  33. 6
  34. 20
  35. 99
  36. 50
  37. 144
  38. 60
  39. 20
  40. 336

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