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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 42 · 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.Divide ₹731 between Karan and Vivaan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  2. 2.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  3. 3.Divide ₹585 between Aarav and Arjun in the ratio 8 : 5. How much does Arjun get (in ₹)?
  4. 4.4 : 11 = 24 : ?
  5. 5.Divide ₹128 between Saanvi and Farhan in the ratio 5 : 3. How much does Farhan get (in ₹)?
  6. 6.Divide ₹180 between Tara and Rahul in the ratio 3 : 7. How much does Tara get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  8. 8.Divide ₹369 between Zoya and Aarav in the ratio 4 : 5. How much does Zoya get (in ₹)?
  9. 9.Divide ₹180 between Rohan and Ananya in the ratio 1 : 9. How much does Rohan get (in ₹)?
  10. 10.6 : 4 = 12 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  12. 12.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  15. 15.4 : 14 = 8 : ?
  16. 16.Divide ₹143 between Saanvi and Karan in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  17. 17.5 : 6 = 20 : ?
  18. 18.Divide ₹336 between Kabir and Tara in the ratio 2 : 5. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  21. 21.6 : 11 = 12 : ?
  22. 22.Divide ₹150 between Sneha and Rahul in the ratio 4 : 1. How much does Sneha get (in ₹)?
  23. 23.3 : 12 = 27 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  26. 26.Divide ₹306 between Arjun and Aarav in the ratio 8 : 9. How much does Aarav get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  28. 28.2 : 9 = 16 : ?
  29. 29.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.10 : 15 = 70 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  35. 35.4 : 5 = 24 : ?
  36. 36.9 : 6 = 36 : ?
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  39. 39.6 : 5 = 18 : ?
  40. 40.Divide ₹48 between Arjun and Manav in the ratio 1 : 5. How much does Manav get (in ₹)?

Answer key

  1. 387
  2. 225
  3. 225
  4. 66
  5. 48
  6. 54
  7. 20
  8. 164
  9. 18
  10. 8
  11. 20
  12. 80
  13. 50
  14. 6
  15. 28
  16. 91
  17. 24
  18. 96
  19. 16
  20. 24
  21. 22
  22. 120
  23. 108
  24. 56
  25. 81
  26. 162
  27. 54
  28. 72
  29. 70
  30. 28
  31. 105
  32. 40
  33. 8
  34. 24
  35. 30
  36. 24
  37. 32
  38. 25
  39. 15
  40. 40

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