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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 195 · 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.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  2. 2.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  3. 3.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  4. 4.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  5. 5.2 : 12 = 8 : ?
  6. 6.Divide ₹153 between Aditya and Dev in the ratio 9 : 8. How much does Aditya get (in ₹)?
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Divide ₹176 between Manav and Saanvi in the ratio 3 : 5. How much does Manav get (in ₹)?
  12. 12.11 : 7 = 99 : ?
  13. 13.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  14. 14.Divide ₹414 between Saanvi and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  16. 16.Divide ₹198 between Priya and Sneha in the ratio 8 : 3. How much does Sneha get (in ₹)?
  17. 17.4 : 14 = 16 : ?
  18. 18.8 : 10 = 16 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  20. 20.6 : 9 = 12 : ?
  21. 21.4 : 3 = 12 : ?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.4 : 9 = 8 : ?
  24. 24.3 : 10 = 12 : ?
  25. 25.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  26. 26.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  27. 27.Divide ₹330 between Tara and Manav in the ratio 5 : 6. How much does Manav get (in ₹)?
  28. 28.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  30. 30.Divide ₹630 between Pooja and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  31. 31.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  32. 32.Divide ₹885 between Manav and Kabir in the ratio 8 : 7. How much does Manav get (in ₹)?
  33. 33.Divide ₹330 between Kabir and Kavya in the ratio 2 : 9. How much does Kabir get (in ₹)?
  34. 34.9 : 7 = 72 : ?
  35. 35.Divide ₹176 between Pooja and Dev in the ratio 5 : 6. How much does Pooja get (in ₹)?
  36. 36.Divide ₹133 between Saanvi and Vivaan in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  37. 37.12 : 14 = 48 : ?
  38. 38.11 : 6 = 22 : ?
  39. 39.2 : 9 = 16 : ?
  40. 40.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).

Answer key

  1. 54
  2. 150
  3. 64
  4. 6
  5. 48
  6. 81
  7. 45
  8. 32
  9. 40
  10. 128
  11. 66
  12. 63
  13. 63
  14. 368
  15. 200
  16. 54
  17. 56
  18. 20
  19. 27
  20. 18
  21. 9
  22. 36
  23. 18
  24. 40
  25. 50
  26. 14
  27. 180
  28. 72
  29. 36
  30. 294
  31. 20
  32. 472
  33. 60
  34. 56
  35. 80
  36. 57
  37. 56
  38. 12
  39. 72
  40. 16

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