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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 88 · 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 8 : 9. There are 32 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  4. 4.11 : 7 = 77 : ?
  5. 5.6 : 3 = 24 : ?
  6. 6.7 : 2 = 49 : ?
  7. 7.Divide ₹188 between Ishaan and Rohan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  8. 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  9. 9.5 : 4 = 10 : ?
  10. 10.Divide ₹72 between Kabir and Meera in the ratio 7 : 2. How much does Kabir get (in ₹)?
  11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  12. 12.3 : 7 = 18 : ?
  13. 13.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  14. 14.Divide ₹294 between Ishaan and Kavya in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  15. 15.Divide ₹235 between Arjun and Ishaan in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  16. 16.Divide ₹343 between Ishaan and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.Divide ₹280 between Manav and Tara in the ratio 9 : 5. How much does Manav get (in ₹)?
  20. 20.10 : 15 = 70 : ?
  21. 21.11 : 2 = 88 : ?
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  24. 24.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  26. 26.Divide ₹205 between Vivaan and Meera in the ratio 1 : 4. How much does Meera get (in ₹)?
  27. 27.Divide ₹231 between Kabir and Aditya in the ratio 5 : 2. How much does Kabir get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  29. 29.10 : 12 = 80 : ?
  30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  31. 31.Divide ₹308 between Kabir and Aarav in the ratio 6 : 1. How much does Kabir get (in ₹)?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  35. 35.5 : 3 = 45 : ?
  36. 36.12 : 9 = 60 : ?
  37. 37.5 : 3 = 15 : ?
  38. 38.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  39. 39.3 : 9 = 9 : ?
  40. 40.Divide ₹338 between Manav and Kabir in the ratio 9 : 4. How much does Kabir get (in ₹)?

Answer key

  1. 36
  2. 7
  3. 4
  4. 49
  5. 12
  6. 14
  7. 47
  8. 64
  9. 8
  10. 56
  11. 81
  12. 42
  13. 54
  14. 126
  15. 141
  16. 294
  17. 48
  18. 8
  19. 180
  20. 105
  21. 16
  22. 16
  23. 72
  24. 96
  25. 14
  26. 164
  27. 165
  28. 54
  29. 96
  30. 27
  31. 264
  32. 80
  33. 175
  34. 81
  35. 27
  36. 45
  37. 9
  38. 75
  39. 27
  40. 104

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