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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 514 · 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).

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  1. 1.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  5. 5.7 : 2 = 35 : ?
  6. 6.6 : 9 = 30 : ?
  7. 7.Divide ₹171 between Tara and Vivaan in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  10. 10.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  11. 11.11 : 15 = 77 : ?
  12. 12.Divide ₹143 between Kavya and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  13. 13.10 : 7 = 80 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  16. 16.Divide ₹351 between Sneha and Saanvi in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  17. 17.3 : 12 = 24 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  19. 19.2 : 8 = 18 : ?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.11 : 10 = 88 : ?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.Divide ₹253 between Dev and Arjun in the ratio 5 : 6. How much does Arjun get (in ₹)?
  24. 24.Divide ₹132 between Sneha and Zoya in the ratio 2 : 9. How much does Zoya get (in ₹)?
  25. 25.Divide ₹138 between Kabir and Priya in the ratio 5 : 1. How much does Priya get (in ₹)?
  26. 26.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Divide ₹429 between Aarav and Farhan in the ratio 9 : 4. How much does Farhan get (in ₹)?
  29. 29.8 : 4 = 64 : ?
  30. 30.4 : 8 = 16 : ?
  31. 31.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  34. 34.Divide ₹90 between Aarav and Ishaan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  37. 37.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  39. 39.Divide ₹627 between Isha and Priya in the ratio 9 : 2. How much does Isha get (in ₹)?
  40. 40.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).

Answer key

  1. 128
  2. 54
  3. 50
  4. 27
  5. 10
  6. 45
  7. 114
  8. 63
  9. 54
  10. 112
  11. 105
  12. 52
  13. 56
  14. 54
  15. 35
  16. 78
  17. 96
  18. 50
  19. 72
  20. 20
  21. 80
  22. 12
  23. 138
  24. 108
  25. 23
  26. 48
  27. 28
  28. 132
  29. 32
  30. 32
  31. 42
  32. 32
  33. 10
  34. 36
  35. 16
  36. 80
  37. 100
  38. 36
  39. 513
  40. 24

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