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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 936 · 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 5 : 6. There are 20 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Divide ₹60 between Pooja and Priya in the ratio 1 : 4. How much does Pooja get (in ₹)?
  5. 5.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  6. 6.11 : 10 = 99 : ?
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  9. 9.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  10. 10.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  12. 12.3 : 2 = 9 : ?
  13. 13.12 : 3 = 72 : ?
  14. 14.Divide ₹80 between Nisha and Rahul in the ratio 3 : 7. How much does Rahul get (in ₹)?
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.Divide ₹627 between Priya and Sneha in the ratio 9 : 2. How much does Priya get (in ₹)?
  17. 17.Divide ₹288 between Diya and Zoya in the ratio 7 : 9. How much does Zoya get (in ₹)?
  18. 18.Divide ₹60 between Kavya and Rahul in the ratio 2 : 1. How much does Rahul get (in ₹)?
  19. 19.Divide ₹33 between Ananya and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  20. 20.5 : 10 = 40 : ?
  21. 21.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  22. 22.Divide ₹784 between Kabir and Isha in the ratio 5 : 9. How much does Isha get (in ₹)?
  23. 23.Divide ₹256 between Rahul and Manav in the ratio 7 : 1. How much does Rahul get (in ₹)?
  24. 24.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  25. 25.11 : 8 = 66 : ?
  26. 26.3 : 14 = 6 : ?
  27. 27.4 : 14 = 8 : ?
  28. 28.Divide ₹140 between Nisha and Isha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  29. 29.Divide ₹209 between Farhan and Arjun in the ratio 5 : 6. How much does Farhan get (in ₹)?
  30. 30.Divide ₹81 between Tara and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
  31. 31.4 : 5 = 8 : ?
  32. 32.Divide ₹216 between Zoya and Dev in the ratio 1 : 8. How much does Zoya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  35. 35.Divide ₹928 between Manav and Kabir in the ratio 9 : 7. How much does Manav get (in ₹)?
  36. 36.12 : 10 = 24 : ?
  37. 37.Divide ₹121 between Kabir and Farhan in the ratio 6 : 5. How much does Kabir get (in ₹)?
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 24
  2. 45
  3. 32
  4. 12
  5. 100
  6. 90
  7. 72
  8. 112
  9. 81
  10. 72
  11. 8
  12. 6
  13. 18
  14. 56
  15. 32
  16. 513
  17. 162
  18. 20
  19. 11
  20. 80
  21. 10
  22. 504
  23. 224
  24. 24
  25. 48
  26. 28
  27. 28
  28. 126
  29. 95
  30. 72
  31. 10
  32. 24
  33. 15
  34. 18
  35. 522
  36. 20
  37. 66
  38. 63
  39. 28
  40. 8

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