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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 684 · 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 21 (that is, 7 : 21 = 21 : ?).
  2. 2.Divide ₹49 between Aditya and Ananya in the ratio 4 : 3. How much does Aditya get (in ₹)?
  3. 3.3 : 10 = 18 : ?
  4. 4.Divide ₹336 between Dev and Karan in the ratio 1 : 7. How much does Dev get (in ₹)?
  5. 5.Divide ₹152 between Rohan and Meera in the ratio 7 : 1. How much does Rohan get (in ₹)?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.10 : 7 = 40 : ?
  8. 8.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  9. 9.8 : 10 = 40 : ?
  10. 10.10 : 5 = 90 : ?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  14. 14.Divide ₹360 between Aarav and Sneha in the ratio 3 : 7. How much does Sneha get (in ₹)?
  15. 15.2 : 8 = 14 : ?
  16. 16.11 : 9 = 55 : ?
  17. 17.6 : 3 = 18 : ?
  18. 18.6 : 15 = 54 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  20. 20.Divide ₹301 between Ishaan and Ananya in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.8 : 7 = 16 : ?
  23. 23.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  24. 24.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  26. 26.Divide ₹168 between Farhan and Ananya in the ratio 5 : 3. How much does Farhan get (in ₹)?
  27. 27.Divide ₹400 between Vivaan and Rohan in the ratio 7 : 1. How much does Rohan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  29. 29.10 : 11 = 90 : ?
  30. 30.Divide ₹495 between Kabir and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  32. 32.12 : 6 = 60 : ?
  33. 33.8 : 15 = 64 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  35. 35.10 : 15 = 40 : ?
  36. 36.Divide ₹754 between Priya and Aditya in the ratio 9 : 4. How much does Priya get (in ₹)?
  37. 37.Divide ₹184 between Nisha and Diya in the ratio 7 : 1. How much does Nisha get (in ₹)?
  38. 38.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  39. 39.3 : 2 = 9 : ?
  40. 40.3 : 13 = 24 : ?

Answer key

  1. 63
  2. 28
  3. 60
  4. 42
  5. 133
  6. 12
  7. 28
  8. 15
  9. 50
  10. 45
  11. 225
  12. 72
  13. 128
  14. 252
  15. 56
  16. 45
  17. 9
  18. 135
  19. 25
  20. 258
  21. 8
  22. 14
  23. 200
  24. 35
  25. 63
  26. 105
  27. 50
  28. 15
  29. 99
  30. 110
  31. 18
  32. 30
  33. 120
  34. 40
  35. 60
  36. 522
  37. 161
  38. 20
  39. 6
  40. 104

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