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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 353 · 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.Divide ₹832 between Zoya and Karan in the ratio 7 : 9. How much does Zoya get (in ₹)?
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.Divide ₹341 between Aditya and Farhan in the ratio 6 : 5. How much does Farhan get (in ₹)?
  4. 4.4 : 5 = 12 : ?
  5. 5.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  6. 6.Divide ₹128 between Ananya and Nisha in the ratio 3 : 5. How much does Nisha get (in ₹)?
  7. 7.Divide ₹65 between Kabir and Sneha in the ratio 7 : 6. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  15. 15.Divide ₹188 between Diya and Aditya in the ratio 1 : 3. How much does Diya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  17. 17.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  18. 18.Divide ₹84 between Nisha and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  19. 19.5 : 15 = 20 : ?
  20. 20.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  21. 21.8 : 14 = 64 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  24. 24.2 : 9 = 4 : ?
  25. 25.2 : 4 = 10 : ?
  26. 26.8 : 5 = 48 : ?
  27. 27.11 : 9 = 44 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  30. 30.6 : 13 = 18 : ?
  31. 31.Divide ₹156 between Diya and Zoya in the ratio 5 : 7. How much does Zoya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  37. 37.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  38. 38.12 : 2 = 60 : ?
  39. 39.Divide ₹408 between Manav and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
  40. 40.Divide ₹126 between Saanvi and Pooja in the ratio 5 : 9. How much does Pooja get (in ₹)?

Answer key

  1. 364
  2. 45
  3. 155
  4. 15
  5. 63
  6. 80
  7. 30
  8. 40
  9. 49
  10. 8
  11. 18
  12. 18
  13. 21
  14. 90
  15. 47
  16. 9
  17. 18
  18. 14
  19. 60
  20. 32
  21. 112
  22. 30
  23. 8
  24. 18
  25. 20
  26. 30
  27. 36
  28. 7
  29. 81
  30. 39
  31. 91
  32. 28
  33. 2
  34. 32
  35. 35
  36. 175
  37. 5
  38. 10
  39. 357
  40. 81

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