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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 997 · 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. 1.2 : 15 = 6 : ?
  2. 2.3 : 5 = 18 : ?
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.10 : 5 = 60 : ?
  5. 5.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  6. 6.Divide ₹228 between Farhan and Priya in the ratio 7 : 5. How much does Farhan get (in ₹)?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.Divide ₹442 between Meera and Tara in the ratio 5 : 8. How much does Meera get (in ₹)?
  9. 9.Divide ₹405 between Manav and Kabir in the ratio 5 : 4. How much does Kabir get (in ₹)?
  10. 10.Divide ₹306 between Isha and Meera in the ratio 5 : 4. How much does Isha get (in ₹)?
  11. 11.Divide ₹590 between Saanvi and Meera in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  12. 12.Divide ₹315 between Aditya and Priya in the ratio 8 : 1. How much does Priya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  14. 14.Divide ₹175 between Rahul and Saanvi in the ratio 5 : 2. How much does Saanvi get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  16. 16.11 : 8 = 55 : ?
  17. 17.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  18. 18.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.Divide ₹77 between Farhan and Aarav in the ratio 7 : 4. How much does Aarav get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  22. 22.Divide ₹72 between Priya and Meera in the ratio 3 : 5. How much does Priya get (in ₹)?
  23. 23.8 : 12 = 32 : ?
  24. 24.4 : 15 = 32 : ?
  25. 25.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  29. 29.Divide ₹696 between Diya and Sneha in the ratio 5 : 7. How much does Diya get (in ₹)?
  30. 30.6 : 10 = 30 : ?
  31. 31.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  32. 32.Divide ₹195 between Kavya and Saanvi in the ratio 8 : 5. How much does Saanvi get (in ₹)?
  33. 33.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  35. 35.11 : 13 = 33 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  39. 39.11 : 7 = 22 : ?
  40. 40.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).

Answer key

  1. 45
  2. 30
  3. 24
  4. 30
  5. 50
  6. 133
  7. 200
  8. 170
  9. 180
  10. 170
  11. 413
  12. 35
  13. 28
  14. 50
  15. 14
  16. 40
  17. 28
  18. 21
  19. 18
  20. 28
  21. 9
  22. 27
  23. 48
  24. 120
  25. 2
  26. 18
  27. 7
  28. 8
  29. 290
  30. 50
  31. 16
  32. 75
  33. 144
  34. 6
  35. 39
  36. 27
  37. 40
  38. 3
  39. 14
  40. 96

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