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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 876 · 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 : 12 = 63 : ?
  2. 2.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  6. 6.Divide ₹210 between Isha and Manav in the ratio 3 : 4. How much does Manav get (in ₹)?
  7. 7.10 : 4 = 60 : ?
  8. 8.Divide ₹342 between Kabir and Arjun in the ratio 8 : 1. How much does Kabir get (in ₹)?
  9. 9.Divide ₹481 between Saanvi and Rohan in the ratio 7 : 6. How much does Saanvi get (in ₹)?
  10. 10.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.Divide ₹473 between Aditya and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
  13. 13.Divide ₹28 between Priya and Zoya in the ratio 3 : 1. How much does Priya get (in ₹)?
  14. 14.12 : 6 = 84 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  16. 16.Divide ₹196 between Isha and Saanvi in the ratio 2 : 5. How much does Isha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.9 : 8 = 27 : ?
  20. 20.4 : 13 = 28 : ?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.Divide ₹30 between Dev and Saanvi in the ratio 2 : 3. How much does Dev get (in ₹)?
  23. 23.Divide ₹171 between Nisha and Saanvi in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  24. 24.5 : 2 = 40 : ?
  25. 25.5 : 7 = 30 : ?
  26. 26.Divide ₹338 between Pooja and Farhan in the ratio 7 : 6. How much does Pooja get (in ₹)?
  27. 27.6 : 13 = 24 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  29. 29.Divide ₹354 between Arjun and Karan in the ratio 1 : 5. How much does Arjun get (in ₹)?
  30. 30.Divide ₹175 between Isha and Kabir in the ratio 3 : 2. How much does Kabir get (in ₹)?
  31. 31.6 : 3 = 24 : ?
  32. 32.10 : 15 = 60 : ?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  37. 37.8 : 5 = 24 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  39. 39.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  40. 40.9 : 14 = 18 : ?

Answer key

  1. 84
  2. 10
  3. 75
  4. 32
  5. 21
  6. 120
  7. 24
  8. 304
  9. 259
  10. 63
  11. 24
  12. 129
  13. 21
  14. 42
  15. 30
  16. 56
  17. 4
  18. 12
  19. 24
  20. 91
  21. 8
  22. 12
  23. 95
  24. 16
  25. 42
  26. 182
  27. 52
  28. 4
  29. 59
  30. 70
  31. 12
  32. 90
  33. 225
  34. 36
  35. 80
  36. 16
  37. 15
  38. 24
  39. 175
  40. 28

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