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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 562 · 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. 1.2 : 13 = 14 : ?
  2. 2.4 : 8 = 28 : ?
  3. 3.Divide ₹189 between Farhan and Rohan in the ratio 1 : 8. How much does Farhan get (in ₹)?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  6. 6.10 : 4 = 40 : ?
  7. 7.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  8. 8.8 : 7 = 16 : ?
  9. 9.11 : 15 = 55 : ?
  10. 10.4 : 5 = 16 : ?
  11. 11.2 : 9 = 6 : ?
  12. 12.10 : 9 = 60 : ?
  13. 13.Divide ₹238 between Pooja and Ananya in the ratio 5 : 2. How much does Pooja get (in ₹)?
  14. 14.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  16. 16.8 : 5 = 16 : ?
  17. 17.3 : 12 = 6 : ?
  18. 18.6 : 9 = 36 : ?
  19. 19.9 : 7 = 81 : ?
  20. 20.Divide ₹627 between Priya and Isha in the ratio 5 : 6. How much does Isha get (in ₹)?
  21. 21.12 : 7 = 48 : ?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.2 : 5 = 14 : ?
  24. 24.3 : 8 = 21 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  26. 26.10 : 14 = 20 : ?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Divide ₹175 between Meera and Zoya in the ratio 2 : 5. How much does Meera get (in ₹)?
  29. 29.Divide ₹448 between Aarav and Pooja in the ratio 3 : 5. How much does Pooja get (in ₹)?
  30. 30.Divide ₹224 between Meera and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  32. 32.Divide ₹160 between Aarav and Kavya in the ratio 1 : 3. How much does Aarav get (in ₹)?
  33. 33.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  34. 34.Divide ₹416 between Isha and Sneha in the ratio 7 : 1. How much does Sneha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  36. 36.9 : 14 = 27 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  38. 38.Divide ₹143 between Rahul and Aarav in the ratio 9 : 4. How much does Rahul get (in ₹)?
  39. 39.Divide ₹171 between Karan and Nisha in the ratio 1 : 8. How much does Nisha get (in ₹)?
  40. 40.Divide ₹624 between Manav and Pooja in the ratio 4 : 9. How much does Pooja get (in ₹)?

Answer key

  1. 91
  2. 56
  3. 21
  4. 48
  5. 35
  6. 16
  7. 81
  8. 14
  9. 75
  10. 20
  11. 27
  12. 54
  13. 170
  14. 128
  15. 7
  16. 10
  17. 24
  18. 54
  19. 63
  20. 342
  21. 28
  22. 12
  23. 35
  24. 56
  25. 63
  26. 28
  27. 28
  28. 50
  29. 280
  30. 64
  31. 35
  32. 40
  33. 150
  34. 52
  35. 21
  36. 42
  37. 12
  38. 99
  39. 152
  40. 432

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