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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 458 · 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).

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  1. 1.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  4. 4.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  5. 5.Divide ₹45 between Kavya and Tara in the ratio 1 : 2. How much does Kavya get (in ₹)?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  8. 8.Divide ₹295 between Arjun and Meera in the ratio 3 : 2. How much does Arjun get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  10. 10.Divide ₹297 between Zoya and Dev in the ratio 4 : 7. How much does Zoya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  12. 12.8 : 6 = 40 : ?
  13. 13.8 : 11 = 72 : ?
  14. 14.9 : 8 = 81 : ?
  15. 15.8 : 6 = 56 : ?
  16. 16.Divide ₹450 between Priya and Ishaan in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  18. 18.2 : 8 = 18 : ?
  19. 19.10 : 11 = 90 : ?
  20. 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  21. 21.Divide ₹180 between Farhan and Kavya in the ratio 3 : 1. How much does Farhan get (in ₹)?
  22. 22.Divide ₹468 between Dev and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  23. 23.Divide ₹252 between Kabir and Farhan in the ratio 5 : 4. How much does Kabir get (in ₹)?
  24. 24.Divide ₹588 between Arjun and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  25. 25.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  26. 26.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  29. 29.Divide ₹136 between Manav and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  30. 30.Divide ₹423 between Isha and Arjun in the ratio 7 : 2. How much does Isha get (in ₹)?
  31. 31.Divide ₹300 between Kabir and Isha in the ratio 8 : 7. How much does Isha get (in ₹)?
  32. 32.Divide ₹15 between Kabir and Arjun in the ratio 2 : 1. How much does Kabir get (in ₹)?
  33. 33.8 : 13 = 64 : ?
  34. 34.3 : 10 = 24 : ?
  35. 35.9 : 12 = 72 : ?
  36. 36.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  37. 37.Divide ₹88 between Priya and Rohan in the ratio 9 : 2. How much does Rohan get (in ₹)?
  38. 38.10 : 15 = 20 : ?
  39. 39.Divide ₹200 between Priya and Aditya in the ratio 5 : 3. How much does Aditya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?

Answer key

  1. 12
  2. 32
  3. 81
  4. 63
  5. 15
  6. 28
  7. 18
  8. 177
  9. 9
  10. 108
  11. 40
  12. 30
  13. 99
  14. 72
  15. 42
  16. 210
  17. 2
  18. 72
  19. 99
  20. 128
  21. 135
  22. 52
  23. 140
  24. 378
  25. 112
  26. 20
  27. 40
  28. 20
  29. 119
  30. 329
  31. 140
  32. 10
  33. 104
  34. 80
  35. 96
  36. 48
  37. 16
  38. 30
  39. 75
  40. 6

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