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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 231 · 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. 1.5 : 14 = 35 : ?
  2. 2.9 : 3 = 36 : ?
  3. 3.5 : 12 = 25 : ?
  4. 4.4 : 10 = 8 : ?
  5. 5.3 : 11 = 6 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  7. 7.Divide ₹72 between Ishaan and Vivaan in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.5 : 13 = 20 : ?
  14. 14.3 : 8 = 6 : ?
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.11 : 5 = 33 : ?
  17. 17.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  18. 18.Divide ₹55 between Sneha and Pooja in the ratio 2 : 3. How much does Sneha get (in ₹)?
  19. 19.5 : 2 = 35 : ?
  20. 20.Divide ₹207 between Manav and Dev in the ratio 5 : 4. How much does Dev get (in ₹)?
  21. 21.Divide ₹574 between Manav and Aarav in the ratio 9 : 5. How much does Manav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  24. 24.6 : 3 = 24 : ?
  25. 25.11 : 5 = 44 : ?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  29. 29.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  30. 30.Divide ₹98 between Nisha and Zoya in the ratio 1 : 6. How much does Nisha get (in ₹)?
  31. 31.Divide ₹68 between Vivaan and Meera in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  32. 32.Divide ₹570 between Kabir and Rahul in the ratio 9 : 1. How much does Rahul get (in ₹)?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  35. 35.8 : 14 = 56 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  37. 37.Divide ₹36 between Arjun and Aditya in the ratio 5 : 1. How much does Arjun get (in ₹)?
  38. 38.Divide ₹50 between Diya and Arjun in the ratio 3 : 7. How much does Diya get (in ₹)?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?

Answer key

  1. 98
  2. 12
  3. 60
  4. 20
  5. 22
  6. 30
  7. 24
  8. 4
  9. 35
  10. 20
  11. 6
  12. 16
  13. 52
  14. 16
  15. 32
  16. 15
  17. 10
  18. 22
  19. 14
  20. 92
  21. 369
  22. 12
  23. 10
  24. 12
  25. 20
  26. 45
  27. 125
  28. 27
  29. 10
  30. 14
  31. 51
  32. 57
  33. 28
  34. 16
  35. 98
  36. 7
  37. 30
  38. 15
  39. 75
  40. 3

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