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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 881 · 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. 1.8 : 4 = 32 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  4. 4.Divide ₹649 between Diya and Rohan in the ratio 3 : 8. How much does Diya get (in ₹)?
  5. 5.Divide ₹120 between Ananya and Nisha in the ratio 2 : 3. How much does Ananya get (in ₹)?
  6. 6.10 : 8 = 20 : ?
  7. 7.Divide ₹441 between Aarav and Diya in the ratio 7 : 2. How much does Diya get (in ₹)?
  8. 8.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  9. 9.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  12. 12.Divide ₹130 between Karan and Sneha in the ratio 1 : 9. How much does Karan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  14. 14.10 : 14 = 60 : ?
  15. 15.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  18. 18.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  19. 19.Divide ₹120 between Pooja and Diya in the ratio 7 : 8. How much does Pooja get (in ₹)?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  22. 22.7 : 5 = 49 : ?
  23. 23.3 : 7 = 6 : ?
  24. 24.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.11 : 9 = 77 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  29. 29.Divide ₹455 between Sneha and Nisha in the ratio 6 : 7. How much does Sneha get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  31. 31.Divide ₹672 between Isha and Aarav in the ratio 7 : 5. How much does Isha get (in ₹)?
  32. 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.Divide ₹280 between Karan and Rohan in the ratio 9 : 5. How much does Karan get (in ₹)?
  35. 35.5 : 3 = 15 : ?
  36. 36.2 : 12 = 6 : ?
  37. 37.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  38. 38.Divide ₹50 between Farhan and Arjun in the ratio 3 : 2. How much does Arjun get (in ₹)?
  39. 39.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  40. 40.Divide ₹231 between Karan and Tara in the ratio 8 : 3. How much does Tara get (in ₹)?

Answer key

  1. 16
  2. 50
  3. 12
  4. 177
  5. 48
  6. 16
  7. 98
  8. 225
  9. 10
  10. 5
  11. 2
  12. 13
  13. 36
  14. 84
  15. 48
  16. 81
  17. 10
  18. 64
  19. 56
  20. 75
  21. 14
  22. 35
  23. 14
  24. 9
  25. 50
  26. 36
  27. 63
  28. 70
  29. 210
  30. 30
  31. 392
  32. 8
  33. 18
  34. 180
  35. 9
  36. 36
  37. 32
  38. 20
  39. 125
  40. 63

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