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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 384 · 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. 1.4 : 15 = 24 : ?
  2. 2.4 : 5 = 8 : ?
  3. 3.6 : 14 = 36 : ?
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.Divide ₹374 between Kabir and Nisha in the ratio 8 : 9. How much does Kabir get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  7. 7.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  8. 8.2 : 4 = 12 : ?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.10 : 6 = 30 : ?
  12. 12.Divide ₹209 between Karan and Dev in the ratio 3 : 8. How much does Dev get (in ₹)?
  13. 13.8 : 14 = 40 : ?
  14. 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  16. 16.5 : 12 = 20 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  19. 19.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  20. 20.Divide ₹180 between Sneha and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  22. 22.10 : 15 = 90 : ?
  23. 23.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  24. 24.Divide ₹147 between Kabir and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.2 : 5 = 4 : ?
  27. 27.Divide ₹100 between Arjun and Saanvi in the ratio 7 : 3. How much does Arjun get (in ₹)?
  28. 28.Divide ₹440 between Nisha and Aarav in the ratio 7 : 1. How much does Nisha get (in ₹)?
  29. 29.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  30. 30.4 : 13 = 32 : ?
  31. 31.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  33. 33.4 : 10 = 32 : ?
  34. 34.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  35. 35.6 : 4 = 18 : ?
  36. 36.Divide ₹121 between Diya and Manav in the ratio 5 : 6. How much does Diya get (in ₹)?
  37. 37.Divide ₹66 between Diya and Saanvi in the ratio 1 : 5. How much does Diya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

Answer key

  1. 90
  2. 10
  3. 84
  4. 75
  5. 176
  6. 4
  7. 28
  8. 24
  9. 100
  10. 12
  11. 18
  12. 152
  13. 70
  14. 36
  15. 54
  16. 48
  17. 18
  18. 6
  19. 24
  20. 160
  21. 90
  22. 135
  23. 200
  24. 84
  25. 32
  26. 10
  27. 70
  28. 385
  29. 128
  30. 104
  31. 90
  32. 20
  33. 80
  34. 12
  35. 12
  36. 55
  37. 11
  38. 18
  39. 27
  40. 225

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