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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 759 · 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 ₹84 between Kabir and Dev in the ratio 9 : 5. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  7. 7.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  8. 8.Divide ₹364 between Kabir and Aarav in the ratio 5 : 8. How much does Kabir get (in ₹)?
  9. 9.Divide ₹765 between Aditya and Ishaan in the ratio 9 : 8. How much does Aditya get (in ₹)?
  10. 10.4 : 12 = 16 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.4 : 11 = 36 : ?
  14. 14.4 : 5 = 12 : ?
  15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  17. 17.Divide ₹240 between Saanvi and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  19. 19.Divide ₹660 between Pooja and Farhan in the ratio 7 : 4. How much does Farhan get (in ₹)?
  20. 20.Divide ₹280 between Manav and Kavya in the ratio 7 : 1. How much does Kavya get (in ₹)?
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  24. 24.10 : 15 = 90 : ?
  25. 25.9 : 13 = 45 : ?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.Divide ₹320 between Sneha and Farhan in the ratio 7 : 9. How much does Sneha get (in ₹)?
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.Divide ₹70 between Kabir and Diya in the ratio 4 : 3. How much does Kabir get (in ₹)?
  32. 32.Divide ₹135 between Saanvi and Arjun in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  33. 33.Divide ₹65 between Farhan and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  34. 34.8 : 14 = 16 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  36. 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  37. 37.Divide ₹120 between Aarav and Karan in the ratio 2 : 3. How much does Aarav get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?

Answer key

  1. 54
  2. 63
  3. 112
  4. 36
  5. 27
  6. 56
  7. 150
  8. 140
  9. 405
  10. 48
  11. 80
  12. 50
  13. 99
  14. 15
  15. 54
  16. 16
  17. 96
  18. 20
  19. 240
  20. 35
  21. 12
  22. 16
  23. 6
  24. 135
  25. 65
  26. 80
  27. 45
  28. 48
  29. 140
  30. 18
  31. 40
  32. 105
  33. 52
  34. 28
  35. 28
  36. 36
  37. 48
  38. 49
  39. 18
  40. 63

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