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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 540 · 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. 1.6 : 12 = 12 : ?
  2. 2.Divide ₹40 between Diya and Aditya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  4. 4.11 : 2 = 88 : ?
  5. 5.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.3 : 4 = 27 : ?
  8. 8.Divide ₹77 between Kabir and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  9. 9.9 : 2 = 63 : ?
  10. 10.9 : 4 = 27 : ?
  11. 11.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  12. 12.5 : 2 = 15 : ?
  13. 13.8 : 15 = 48 : ?
  14. 14.8 : 12 = 40 : ?
  15. 15.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  16. 16.4 : 9 = 28 : ?
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.11 : 8 = 33 : ?
  19. 19.10 : 14 = 80 : ?
  20. 20.10 : 4 = 20 : ?
  21. 21.Divide ₹260 between Diya and Rohan in the ratio 4 : 9. How much does Diya get (in ₹)?
  22. 22.3 : 6 = 15 : ?
  23. 23.Divide ₹231 between Tara and Pooja in the ratio 5 : 6. How much does Tara get (in ₹)?
  24. 24.Divide ₹66 between Sneha and Meera in the ratio 1 : 2. How much does Sneha get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  26. 26.Divide ₹570 between Meera and Rohan in the ratio 3 : 7. How much does Meera get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  29. 29.Divide ₹423 between Diya and Farhan in the ratio 4 : 5. How much does Farhan get (in ₹)?
  30. 30.12 : 4 = 24 : ?
  31. 31.5 : 2 = 10 : ?
  32. 32.9 : 13 = 45 : ?
  33. 33.8 : 13 = 64 : ?
  34. 34.Divide ₹90 between Rahul and Ishaan in the ratio 1 : 8. How much does Rahul get (in ₹)?
  35. 35.5 : 7 = 40 : ?
  36. 36.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  37. 37.9 : 14 = 27 : ?
  38. 38.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  39. 39.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  40. 40.6 : 12 = 42 : ?

Answer key

  1. 24
  2. 30
  3. 63
  4. 16
  5. 12
  6. 20
  7. 36
  8. 42
  9. 14
  10. 12
  11. 72
  12. 6
  13. 90
  14. 60
  15. 81
  16. 63
  17. 45
  18. 24
  19. 112
  20. 8
  21. 80
  22. 30
  23. 105
  24. 22
  25. 48
  26. 171
  27. 3
  28. 21
  29. 235
  30. 8
  31. 4
  32. 65
  33. 104
  34. 10
  35. 56
  36. 100
  37. 42
  38. 54
  39. 36
  40. 84

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