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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 211 · 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. 1.6 : 2 = 54 : ?
  2. 2.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  3. 3.Divide ₹385 between Karan and Meera in the ratio 3 : 4. How much does Meera get (in ₹)?
  4. 4.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  5. 5.3 : 15 = 24 : ?
  6. 6.Divide ₹66 between Pooja and Saanvi in the ratio 1 : 5. How much does Pooja get (in ₹)?
  7. 7.Divide ₹81 between Sneha and Arjun in the ratio 1 : 8. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  9. 9.3 : 14 = 24 : ?
  10. 10.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  11. 11.10 : 6 = 90 : ?
  12. 12.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  15. 15.Divide ₹742 between Meera and Diya in the ratio 5 : 9. How much does Meera get (in ₹)?
  16. 16.2 : 14 = 18 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  18. 18.4 : 12 = 12 : ?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.Divide ₹49 between Dev and Priya in the ratio 5 : 2. How much does Priya get (in ₹)?
  21. 21.8 : 2 = 56 : ?
  22. 22.Divide ₹1020 between Pooja and Tara in the ratio 9 : 8. How much does Pooja get (in ₹)?
  23. 23.5 : 3 = 45 : ?
  24. 24.8 : 3 = 24 : ?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.Divide ₹100 between Aarav and Zoya in the ratio 3 : 2. How much does Aarav get (in ₹)?
  27. 27.7 : 9 = 35 : ?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.4 : 11 = 8 : ?
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.Divide ₹342 between Meera and Ananya in the ratio 1 : 5. How much does Ananya get (in ₹)?
  34. 34.Divide ₹36 between Dev and Priya in the ratio 1 : 5. How much does Dev get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  36. 36.4 : 15 = 16 : ?
  37. 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  38. 38.Divide ₹238 between Priya and Saanvi in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.Divide ₹60 between Karan and Aarav in the ratio 5 : 1. How much does Aarav get (in ₹)?

Answer key

  1. 18
  2. 75
  3. 220
  4. 20
  5. 120
  6. 11
  7. 9
  8. 3
  9. 112
  10. 8
  11. 54
  12. 40
  13. 70
  14. 42
  15. 265
  16. 126
  17. 24
  18. 36
  19. 175
  20. 14
  21. 14
  22. 540
  23. 27
  24. 9
  25. 200
  26. 60
  27. 45
  28. 100
  29. 22
  30. 150
  31. 32
  32. 18
  33. 285
  34. 6
  35. 6
  36. 60
  37. 144
  38. 112
  39. 36
  40. 10

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