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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 916 · 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.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.6 : 14 = 42 : ?
  4. 4.2 : 11 = 4 : ?
  5. 5.12 : 13 = 60 : ?
  6. 6.4 : 13 = 8 : ?
  7. 7.Divide ₹135 between Manav and Ananya in the ratio 8 : 7. How much does Manav get (in ₹)?
  8. 8.12 : 7 = 60 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  10. 10.9 : 15 = 72 : ?
  11. 11.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.Divide ₹198 between Nisha and Aarav in the ratio 3 : 8. How much does Nisha get (in ₹)?
  14. 14.8 : 3 = 40 : ?
  15. 15.11 : 5 = 66 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  17. 17.6 : 3 = 18 : ?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  24. 24.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  25. 25.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  26. 26.Divide ₹624 between Sneha and Kavya in the ratio 4 : 9. How much does Kavya get (in ₹)?
  27. 27.6 : 13 = 54 : ?
  28. 28.Divide ₹840 between Kabir and Dev in the ratio 7 : 8. How much does Kabir get (in ₹)?
  29. 29.9 : 12 = 72 : ?
  30. 30.Divide ₹598 between Farhan and Sneha in the ratio 9 : 4. How much does Farhan get (in ₹)?
  31. 31.Divide ₹240 between Arjun and Ishaan in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  34. 34.Divide ₹320 between Meera and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  35. 35.Divide ₹286 between Manav and Tara in the ratio 7 : 6. How much does Manav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  37. 37.10 : 7 = 50 : ?
  38. 38.10 : 14 = 90 : ?
  39. 39.Divide ₹80 between Aditya and Dev in the ratio 1 : 7. How much does Aditya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?

Answer key

  1. 30
  2. 48
  3. 98
  4. 22
  5. 65
  6. 26
  7. 72
  8. 35
  9. 12
  10. 120
  11. 4
  12. 45
  13. 54
  14. 15
  15. 30
  16. 18
  17. 9
  18. 27
  19. 4
  20. 63
  21. 18
  22. 5
  23. 40
  24. 28
  25. 27
  26. 432
  27. 117
  28. 392
  29. 96
  30. 414
  31. 100
  32. 81
  33. 45
  34. 120
  35. 154
  36. 45
  37. 35
  38. 126
  39. 10
  40. 15

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