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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 238 · 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 7 : 1. There are 49 boys. How many girls are there?
  2. 2.Divide ₹153 between Farhan and Vivaan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.11 : 6 = 99 : ?
  9. 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  10. 10.12 : 8 = 72 : ?
  11. 11.Divide ₹649 between Meera and Farhan in the ratio 3 : 8. How much does Meera get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  13. 13.12 : 14 = 72 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.Divide ₹91 between Tara and Saanvi in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  17. 17.Divide ₹39 between Arjun and Karan in the ratio 1 : 2. How much does Karan get (in ₹)?
  18. 18.Divide ₹180 between Ananya and Isha in the ratio 4 : 1. How much does Ananya get (in ₹)?
  19. 19.Divide ₹495 between Zoya and Sneha in the ratio 7 : 8. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  21. 21.10 : 6 = 40 : ?
  22. 22.2 : 9 = 6 : ?
  23. 23.Divide ₹196 between Kabir and Kavya in the ratio 6 : 1. How much does Kavya get (in ₹)?
  24. 24.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  25. 25.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  28. 28.Divide ₹210 between Ishaan and Aditya in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  29. 29.10 : 8 = 60 : ?
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.4 : 14 = 24 : ?
  32. 32.Divide ₹672 between Manav and Vivaan in the ratio 7 : 5. How much does Vivaan get (in ₹)?
  33. 33.Divide ₹288 between Nisha and Dev in the ratio 9 : 7. How much does Nisha get (in ₹)?
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.Divide ₹140 between Nisha and Sneha in the ratio 9 : 5. How much does Sneha get (in ₹)?
  36. 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  38. 38.Divide ₹140 between Farhan and Isha in the ratio 9 : 1. How much does Farhan get (in ₹)?
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.Divide ₹198 between Diya and Aditya in the ratio 6 : 5. How much does Diya get (in ₹)?

Answer key

  1. 7
  2. 34
  3. 150
  4. 16
  5. 81
  6. 35
  7. 16
  8. 54
  9. 45
  10. 48
  11. 177
  12. 12
  13. 84
  14. 24
  15. 80
  16. 52
  17. 26
  18. 144
  19. 231
  20. 32
  21. 24
  22. 27
  23. 28
  24. 63
  25. 20
  26. 50
  27. 35
  28. 35
  29. 48
  30. 72
  31. 84
  32. 280
  33. 162
  34. 36
  35. 50
  36. 36
  37. 12
  38. 126
  39. 112
  40. 108

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