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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 128 · 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.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  5. 5.Divide ₹357 between Aarav and Pooja in the ratio 8 : 9. How much does Pooja get (in ₹)?
  6. 6.7 : 12 = 49 : ?
  7. 7.12 : 5 = 48 : ?
  8. 8.Divide ₹21 between Kavya and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.7 : 14 = 21 : ?
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.Divide ₹407 between Arjun and Saanvi in the ratio 9 : 2. How much does Arjun get (in ₹)?
  13. 13.7 : 4 = 49 : ?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  16. 16.5 : 8 = 30 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  18. 18.6 : 13 = 54 : ?
  19. 19.2 : 10 = 10 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.Divide ₹406 between Karan and Zoya in the ratio 2 : 5. How much does Karan get (in ₹)?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.6 : 3 = 48 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  26. 26.Divide ₹99 between Kavya and Ananya in the ratio 5 : 4. How much does Kavya get (in ₹)?
  27. 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  28. 28.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  29. 29.4 : 12 = 36 : ?
  30. 30.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  32. 32.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  33. 33.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  34. 34.Divide ₹147 between Diya and Rohan in the ratio 3 : 4. How much does Diya get (in ₹)?
  35. 35.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  36. 36.Divide ₹36 between Aditya and Nisha in the ratio 5 : 1. How much does Nisha get (in ₹)?
  37. 37.Divide ₹578 between Kabir and Manav in the ratio 9 : 8. How much does Kabir get (in ₹)?
  38. 38.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  39. 39.Divide ₹154 between Dev and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?

Answer key

  1. 7
  2. 125
  3. 150
  4. 4
  5. 189
  6. 84
  7. 20
  8. 7
  9. 32
  10. 42
  11. 12
  12. 333
  13. 28
  14. 32
  15. 200
  16. 48
  17. 7
  18. 117
  19. 50
  20. 45
  21. 8
  22. 116
  23. 20
  24. 24
  25. 90
  26. 55
  27. 24
  28. 175
  29. 108
  30. 50
  31. 40
  32. 36
  33. 80
  34. 63
  35. 75
  36. 6
  37. 306
  38. 54
  39. 112
  40. 56

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