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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 436 · 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. 1.4 : 3 = 8 : ?
  2. 2.Divide ₹231 between Farhan and Zoya in the ratio 1 : 6. How much does Zoya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  4. 4.Divide ₹99 between Nisha and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  8. 8.5 : 6 = 35 : ?
  9. 9.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  10. 10.12 : 11 = 48 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  12. 12.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.4 : 14 = 24 : ?
  15. 15.Divide ₹175 between Pooja and Diya in the ratio 2 : 3. How much does Pooja get (in ₹)?
  16. 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  17. 17.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  18. 18.10 : 15 = 30 : ?
  19. 19.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  20. 20.4 : 6 = 12 : ?
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.4 : 7 = 20 : ?
  23. 23.11 : 6 = 44 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  26. 26.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  28. 28.2 : 15 = 6 : ?
  29. 29.6 : 15 = 48 : ?
  30. 30.Divide ₹392 between Meera and Aditya in the ratio 5 : 3. How much does Aditya get (in ₹)?
  31. 31.Divide ₹160 between Saanvi and Pooja in the ratio 3 : 5. How much does Pooja get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  33. 33.6 : 3 = 24 : ?
  34. 34.7 : 9 = 21 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  36. 36.Divide ₹195 between Pooja and Farhan in the ratio 9 : 4. How much does Pooja get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  38. 38.2 : 7 = 16 : ?
  39. 39.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  40. 40.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).

Answer key

  1. 6
  2. 198
  3. 49
  4. 11
  5. 3
  6. 2
  7. 144
  8. 42
  9. 125
  10. 44
  11. 45
  12. 200
  13. 16
  14. 84
  15. 70
  16. 48
  17. 8
  18. 45
  19. 36
  20. 18
  21. 96
  22. 35
  23. 24
  24. 30
  25. 81
  26. 18
  27. 24
  28. 45
  29. 120
  30. 147
  31. 100
  32. 16
  33. 12
  34. 27
  35. 9
  36. 135
  37. 42
  38. 56
  39. 63
  40. 112

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