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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 580 · 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 : 3 = 72 : ?
  2. 2.Divide ₹81 between Tara and Ananya in the ratio 5 : 4. How much does Tara get (in ₹)?
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  5. 5.Divide ₹209 between Meera and Pooja in the ratio 6 : 5. How much does Meera get (in ₹)?
  6. 6.9 : 13 = 36 : ?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.10 : 15 = 70 : ?
  9. 9.7 : 2 = 49 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  13. 13.3 : 5 = 21 : ?
  14. 14.3 : 8 = 6 : ?
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.Divide ₹374 between Meera and Rohan in the ratio 9 : 8. How much does Meera get (in ₹)?
  19. 19.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.10 : 6 = 40 : ?
  22. 22.Divide ₹624 between Kavya and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  23. 23.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  24. 24.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.9 : 6 = 54 : ?
  27. 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  28. 28.8 : 9 = 64 : ?
  29. 29.3 : 10 = 21 : ?
  30. 30.Divide ₹56 between Ishaan and Pooja in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  31. 31.Divide ₹72 between Kabir and Zoya in the ratio 1 : 7. How much does Kabir get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  34. 34.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  35. 35.9 : 3 = 72 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  37. 37.Divide ₹224 between Vivaan and Saanvi in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  40. 40.Divide ₹216 between Diya and Ananya in the ratio 7 : 2. How much does Ananya get (in ₹)?

Answer key

  1. 27
  2. 45
  3. 27
  4. 36
  5. 114
  6. 52
  7. 16
  8. 105
  9. 14
  10. 75
  11. 96
  12. 80
  13. 35
  14. 16
  15. 112
  16. 32
  17. 20
  18. 198
  19. 28
  20. 81
  21. 24
  22. 273
  23. 63
  24. 128
  25. 48
  26. 36
  27. 54
  28. 72
  29. 70
  30. 24
  31. 9
  32. 12
  33. 32
  34. 27
  35. 24
  36. 18
  37. 56
  38. 7
  39. 64
  40. 48

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