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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 357 · 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 ₹120 between Farhan and Sneha in the ratio 1 : 4. How much does Farhan get (in ₹)?
  2. 2.3 : 7 = 12 : ?
  3. 3.Divide ₹304 between Ishaan and Ananya in the ratio 3 : 5. How much does Ishaan get (in ₹)?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.12 : 3 = 48 : ?
  6. 6.10 : 6 = 40 : ?
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.11 : 12 = 66 : ?
  9. 9.6 : 9 = 54 : ?
  10. 10.Divide ₹767 between Manav and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
  11. 11.12 : 15 = 48 : ?
  12. 12.4 : 7 = 20 : ?
  13. 13.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  14. 14.Divide ₹385 between Diya and Kavya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  15. 15.2 : 8 = 6 : ?
  16. 16.Divide ₹392 between Rohan and Dev in the ratio 7 : 1. How much does Dev get (in ₹)?
  17. 17.Divide ₹63 between Manav and Rohan in the ratio 3 : 4. How much does Rohan get (in ₹)?
  18. 18.11 : 12 = 33 : ?
  19. 19.3 : 4 = 9 : ?
  20. 20.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  21. 21.3 : 14 = 27 : ?
  22. 22.Divide ₹969 between Rahul and Ananya in the ratio 8 : 9. How much does Rahul get (in ₹)?
  23. 23.5 : 9 = 20 : ?
  24. 24.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  25. 25.Divide ₹341 between Aditya and Ishaan in the ratio 8 : 3. How much does Aditya get (in ₹)?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.9 : 3 = 45 : ?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.3 : 2 = 9 : ?
  31. 31.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  32. 32.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  33. 33.5 : 6 = 10 : ?
  34. 34.Divide ₹689 between Diya and Priya in the ratio 7 : 6. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  36. 36.9 : 4 = 27 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  40. 40.9 : 6 = 63 : ?

Answer key

  1. 24
  2. 28
  3. 114
  4. 50
  5. 12
  6. 24
  7. 175
  8. 72
  9. 81
  10. 413
  11. 60
  12. 35
  13. 70
  14. 315
  15. 24
  16. 49
  17. 36
  18. 36
  19. 12
  20. 14
  21. 126
  22. 456
  23. 36
  24. 12
  25. 248
  26. 80
  27. 18
  28. 15
  29. 24
  30. 6
  31. 200
  32. 27
  33. 12
  34. 371
  35. 50
  36. 12
  37. 24
  38. 25
  39. 36
  40. 42

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