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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 422 · 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 ₹459 between Tara and Zoya in the ratio 1 : 8. How much does Tara get (in ₹)?
  2. 2.Divide ₹270 between Rahul and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  3. 3.10 : 3 = 70 : ?
  4. 4.4 : 3 = 36 : ?
  5. 5.3 : 14 = 18 : ?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  8. 8.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  9. 9.Divide ₹171 between Ananya and Rahul in the ratio 4 : 5. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  11. 11.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.9 : 13 = 54 : ?
  15. 15.9 : 2 = 54 : ?
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  18. 18.9 : 6 = 72 : ?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.6 : 11 = 42 : ?
  22. 22.9 : 15 = 54 : ?
  23. 23.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.Divide ₹370 between Nisha and Meera in the ratio 7 : 3. How much does Nisha get (in ₹)?
  26. 26.3 : 6 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  28. 28.8 : 6 = 56 : ?
  29. 29.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  30. 30.4 : 15 = 8 : ?
  31. 31.6 : 12 = 54 : ?
  32. 32.Divide ₹208 between Aditya and Manav in the ratio 8 : 5. How much does Aditya get (in ₹)?
  33. 33.8 : 12 = 48 : ?
  34. 34.9 : 10 = 36 : ?
  35. 35.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  36. 36.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  37. 37.Divide ₹276 between Priya and Aarav in the ratio 7 : 5. How much does Priya get (in ₹)?
  38. 38.Divide ₹77 between Dev and Kavya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  39. 39.Divide ₹140 between Rahul and Priya in the ratio 1 : 9. How much does Rahul get (in ₹)?
  40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

Answer key

  1. 51
  2. 162
  3. 21
  4. 27
  5. 84
  6. 12
  7. 14
  8. 36
  9. 76
  10. 49
  11. 112
  12. 48
  13. 150
  14. 78
  15. 12
  16. 8
  17. 81
  18. 48
  19. 175
  20. 20
  21. 77
  22. 90
  23. 10
  24. 16
  25. 259
  26. 24
  27. 32
  28. 42
  29. 8
  30. 30
  31. 108
  32. 128
  33. 72
  34. 40
  35. 75
  36. 18
  37. 161
  38. 22
  39. 14
  40. 100

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