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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 187 · 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.Divide ₹252 between Meera and Diya in the ratio 5 : 2. How much does Diya get (in ₹)?
  2. 2.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.2 : 3 = 10 : ?
  6. 6.8 : 6 = 48 : ?
  7. 7.11 : 14 = 88 : ?
  8. 8.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  9. 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.Divide ₹135 between Ishaan and Isha in the ratio 4 : 1. How much does Isha get (in ₹)?
  12. 12.Divide ₹315 between Karan and Sneha in the ratio 7 : 8. How much does Sneha get (in ₹)?
  13. 13.12 : 9 = 36 : ?
  14. 14.Divide ₹102 between Kabir and Ishaan in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  15. 15.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  16. 16.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  18. 18.6 : 5 = 36 : ?
  19. 19.Divide ₹48 between Kabir and Karan in the ratio 2 : 1. How much does Kabir get (in ₹)?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  22. 22.Divide ₹240 between Karan and Manav in the ratio 2 : 3. How much does Karan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  24. 24.3 : 2 = 18 : ?
  25. 25.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  26. 26.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  27. 27.2 : 4 = 10 : ?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.Divide ₹110 between Aarav and Diya in the ratio 8 : 3. How much does Diya get (in ₹)?
  31. 31.Divide ₹55 between Ishaan and Diya in the ratio 3 : 8. How much does Ishaan get (in ₹)?
  32. 32.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  33. 33.2 : 8 = 14 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  36. 36.10 : 14 = 70 : ?
  37. 37.Divide ₹77 between Tara and Vivaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  39. 39.Divide ₹676 between Tara and Kabir in the ratio 9 : 4. How much does Kabir get (in ₹)?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 72
  2. 144
  3. 32
  4. 24
  5. 15
  6. 36
  7. 112
  8. 112
  9. 128
  10. 45
  11. 27
  12. 168
  13. 27
  14. 68
  15. 81
  16. 35
  17. 56
  18. 30
  19. 32
  20. 36
  21. 15
  22. 96
  23. 12
  24. 12
  25. 150
  26. 2
  27. 20
  28. 96
  29. 225
  30. 30
  31. 15
  32. 54
  33. 56
  34. 2
  35. 18
  36. 98
  37. 33
  38. 9
  39. 208
  40. 32

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