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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 642 · 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. 1.12 : 14 = 108 : ?
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  6. 6.Divide ₹351 between Priya and Tara in the ratio 4 : 9. How much does Priya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  8. 8.7 : 14 = 14 : ?
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  12. 12.6 : 15 = 18 : ?
  13. 13.Divide ₹546 between Farhan and Saanvi in the ratio 4 : 9. How much does Farhan get (in ₹)?
  14. 14.3 : 15 = 21 : ?
  15. 15.2 : 13 = 10 : ?
  16. 16.8 : 2 = 64 : ?
  17. 17.Divide ₹144 between Karan and Isha in the ratio 5 : 4. How much does Karan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  19. 19.Divide ₹36 between Aarav and Nisha in the ratio 5 : 1. How much does Aarav get (in ₹)?
  20. 20.12 : 11 = 24 : ?
  21. 21.12 : 7 = 36 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  23. 23.Divide ₹583 between Farhan and Ishaan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  24. 24.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  25. 25.6 : 2 = 30 : ?
  26. 26.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  27. 27.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  29. 29.Divide ₹189 between Dev and Arjun in the ratio 2 : 5. How much does Dev get (in ₹)?
  30. 30.Divide ₹624 between Kavya and Saanvi in the ratio 4 : 9. How much does Saanvi get (in ₹)?
  31. 31.2 : 9 = 14 : ?
  32. 32.12 : 6 = 48 : ?
  33. 33.4 : 5 = 12 : ?
  34. 34.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  35. 35.5 : 12 = 20 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.5 : 13 = 10 : ?
  39. 39.Divide ₹288 between Tara and Priya in the ratio 7 : 9. How much does Priya get (in ₹)?
  40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

Answer key

  1. 126
  2. 30
  3. 18
  4. 4
  5. 8
  6. 108
  7. 2
  8. 28
  9. 27
  10. 20
  11. 81
  12. 45
  13. 168
  14. 105
  15. 65
  16. 16
  17. 80
  18. 21
  19. 30
  20. 22
  21. 21
  22. 72
  23. 477
  24. 200
  25. 10
  26. 3
  27. 48
  28. 16
  29. 54
  30. 432
  31. 63
  32. 24
  33. 15
  34. 64
  35. 48
  36. 81
  37. 54
  38. 26
  39. 162
  40. 63

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