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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 338 · 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.Divide ₹76 between Kavya and Aarav in the ratio 1 : 3. How much does Kavya get (in ₹)?
  2. 2.3 : 10 = 24 : ?
  3. 3.9 : 6 = 72 : ?
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.3 : 5 = 6 : ?
  6. 6.Divide ₹689 between Zoya and Ishaan in the ratio 9 : 4. How much does Zoya get (in ₹)?
  7. 7.3 : 4 = 9 : ?
  8. 8.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  9. 9.Divide ₹234 between Karan and Ishaan in the ratio 7 : 6. How much does Karan get (in ₹)?
  10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  11. 11.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  14. 14.Divide ₹143 between Arjun and Kavya in the ratio 5 : 8. How much does Kavya get (in ₹)?
  15. 15.7 : 10 = 42 : ?
  16. 16.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  17. 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  18. 18.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  21. 21.Divide ₹24 between Priya and Kabir in the ratio 1 : 3. How much does Priya get (in ₹)?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.Divide ₹63 between Ishaan and Sneha in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  26. 26.9 : 5 = 63 : ?
  27. 27.3 : 13 = 15 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  29. 29.9 : 7 = 81 : ?
  30. 30.Divide ₹190 between Rohan and Pooja in the ratio 7 : 3. How much does Rohan get (in ₹)?
  31. 31.Divide ₹112 between Nisha and Zoya in the ratio 1 : 6. How much does Zoya get (in ₹)?
  32. 32.8 : 9 = 24 : ?
  33. 33.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  34. 34.2 : 12 = 16 : ?
  35. 35.8 : 10 = 72 : ?
  36. 36.6 : 13 = 54 : ?
  37. 37.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  39. 39.Divide ₹260 between Karan and Isha in the ratio 2 : 3. How much does Karan get (in ₹)?
  40. 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).

Answer key

  1. 19
  2. 80
  3. 48
  4. 24
  5. 10
  6. 477
  7. 12
  8. 7
  9. 126
  10. 81
  11. 36
  12. 16
  13. 18
  14. 88
  15. 60
  16. 42
  17. 125
  18. 60
  19. 96
  20. 20
  21. 6
  22. 48
  23. 27
  24. 150
  25. 35
  26. 35
  27. 65
  28. 27
  29. 63
  30. 133
  31. 96
  32. 27
  33. 45
  34. 96
  35. 90
  36. 117
  37. 18
  38. 9
  39. 104
  40. 128

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