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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 418 · 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 7 and 14 (that is, 7 : 14 = 14 : ?).
  2. 2.6 : 15 = 42 : ?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Divide ₹104 between Arjun and Dev in the ratio 5 : 8. How much does Dev get (in ₹)?
  5. 5.Divide ₹341 between Kabir and Rohan in the ratio 4 : 7. How much does Kabir get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  8. 8.Divide ₹742 between Kabir and Tara in the ratio 9 : 5. How much does Kabir get (in ₹)?
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.2 : 5 = 6 : ?
  11. 11.Divide ₹84 between Dev and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
  12. 12.5 : 14 = 25 : ?
  13. 13.7 : 12 = 49 : ?
  14. 14.5 : 10 = 20 : ?
  15. 15.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  16. 16.3 : 8 = 27 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  19. 19.Divide ₹220 between Zoya and Meera in the ratio 3 : 2. How much does Zoya get (in ₹)?
  20. 20.11 : 6 = 33 : ?
  21. 21.Divide ₹72 between Aarav and Dev in the ratio 8 : 1. How much does Aarav get (in ₹)?
  22. 22.Divide ₹517 between Kabir and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  23. 23.Divide ₹231 between Vivaan and Rohan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  26. 26.Divide ₹160 between Priya and Saanvi in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  30. 30.7 : 10 = 49 : ?
  31. 31.Divide ₹124 between Manav and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  33. 33.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  34. 34.2 : 9 = 14 : ?
  35. 35.Divide ₹572 between Zoya and Pooja in the ratio 4 : 7. How much does Pooja get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  37. 37.Divide ₹550 between Meera and Tara in the ratio 1 : 9. How much does Tara get (in ₹)?
  38. 38.Divide ₹27 between Farhan and Aditya in the ratio 1 : 2. How much does Farhan get (in ₹)?
  39. 39.8 : 4 = 48 : ?
  40. 40.Divide ₹30 between Rohan and Dev in the ratio 5 : 1. How much does Rohan get (in ₹)?

Answer key

  1. 28
  2. 105
  3. 32
  4. 64
  5. 124
  6. 27
  7. 12
  8. 477
  9. 54
  10. 15
  11. 36
  12. 70
  13. 84
  14. 40
  15. 30
  16. 72
  17. 6
  18. 9
  19. 132
  20. 18
  21. 64
  22. 423
  23. 84
  24. 80
  25. 24
  26. 100
  27. 10
  28. 48
  29. 16
  30. 70
  31. 93
  32. 7
  33. 175
  34. 63
  35. 364
  36. 7
  37. 495
  38. 9
  39. 24
  40. 25

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