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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 676 · 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. 1.2 : 3 = 12 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  6. 6.Divide ₹572 between Nisha and Arjun in the ratio 8 : 5. How much does Nisha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  11. 11.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.Divide ₹75 between Pooja and Diya in the ratio 2 : 3. How much does Pooja get (in ₹)?
  16. 16.5 : 2 = 45 : ?
  17. 17.Divide ₹81 between Rohan and Aditya in the ratio 5 : 4. How much does Rohan get (in ₹)?
  18. 18.11 : 12 = 66 : ?
  19. 19.9 : 14 = 27 : ?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.Divide ₹627 between Kabir and Manav in the ratio 8 : 3. How much does Kabir get (in ₹)?
  22. 22.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.5 : 13 = 25 : ?
  25. 25.6 : 10 = 36 : ?
  26. 26.5 : 4 = 45 : ?
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  29. 29.Divide ₹315 between Meera and Priya in the ratio 5 : 2. How much does Meera get (in ₹)?
  30. 30.Divide ₹795 between Kavya and Isha in the ratio 7 : 8. How much does Isha get (in ₹)?
  31. 31.Divide ₹160 between Farhan and Arjun in the ratio 3 : 2. How much does Arjun get (in ₹)?
  32. 32.8 : 2 = 72 : ?
  33. 33.6 : 2 = 36 : ?
  34. 34.Divide ₹416 between Arjun and Diya in the ratio 1 : 7. How much does Arjun get (in ₹)?
  35. 35.Divide ₹49 between Karan and Farhan in the ratio 5 : 2. How much does Farhan get (in ₹)?
  36. 36.8 : 6 = 32 : ?
  37. 37.7 : 6 = 21 : ?
  38. 38.5 : 7 = 10 : ?
  39. 39.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?

Answer key

  1. 18
  2. 54
  3. 9
  4. 56
  5. 64
  6. 352
  7. 72
  8. 30
  9. 6
  10. 40
  11. 28
  12. 5
  13. 50
  14. 48
  15. 30
  16. 18
  17. 45
  18. 72
  19. 42
  20. 75
  21. 456
  22. 32
  23. 18
  24. 65
  25. 60
  26. 36
  27. 81
  28. 150
  29. 225
  30. 424
  31. 64
  32. 18
  33. 12
  34. 52
  35. 14
  36. 24
  37. 18
  38. 14
  39. 12
  40. 36

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