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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 423 · 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. 1.8 : 10 = 40 : ?
  2. 2.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.2 : 7 = 14 : ?
  5. 5.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  6. 6.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  7. 7.4 : 12 = 32 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  10. 10.Divide ₹585 between Dev and Sneha in the ratio 7 : 8. How much does Sneha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  12. 12.Divide ₹160 between Karan and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  13. 13.Divide ₹110 between Aarav and Manav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  14. 14.Divide ₹143 between Manav and Kabir in the ratio 7 : 4. How much does Kabir get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  16. 16.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  17. 17.8 : 15 = 40 : ?
  18. 18.Divide ₹637 between Meera and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  19. 19.4 : 6 = 32 : ?
  20. 20.11 : 12 = 55 : ?
  21. 21.Divide ₹50 between Kabir and Isha in the ratio 7 : 3. How much does Kabir get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  24. 24.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  25. 25.12 : 15 = 108 : ?
  26. 26.5 : 9 = 30 : ?
  27. 27.11 : 14 = 55 : ?
  28. 28.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  29. 29.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  31. 31.7 : 2 = 63 : ?
  32. 32.12 : 14 = 72 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  34. 34.Divide ₹176 between Saanvi and Dev in the ratio 9 : 2. How much does Saanvi get (in ₹)?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Divide ₹15 between Tara and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  37. 37.Divide ₹165 between Saanvi and Isha in the ratio 7 : 8. How much does Saanvi get (in ₹)?
  38. 38.Divide ₹416 between Nisha and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  40. 40.Divide ₹56 between Tara and Vivaan in the ratio 2 : 5. How much does Vivaan get (in ₹)?

Answer key

  1. 50
  2. 3
  3. 50
  4. 49
  5. 9
  6. 81
  7. 96
  8. 6
  9. 36
  10. 312
  11. 9
  12. 48
  13. 33
  14. 52
  15. 45
  16. 200
  17. 75
  18. 441
  19. 48
  20. 60
  21. 35
  22. 35
  23. 16
  24. 12
  25. 135
  26. 54
  27. 70
  28. 36
  29. 150
  30. 24
  31. 18
  32. 84
  33. 21
  34. 144
  35. 8
  36. 10
  37. 77
  38. 364
  39. 72
  40. 40

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