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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 524 · 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. 1.8 : 2 = 56 : ?
  2. 2.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  3. 3.Divide ₹90 between Arjun and Ishaan in the ratio 1 : 9. How much does Arjun get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.6 : 8 = 30 : ?
  9. 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.4 : 13 = 28 : ?
  12. 12.Divide ₹56 between Farhan and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  13. 13.Divide ₹40 between Aditya and Priya in the ratio 3 : 1. How much does Priya get (in ₹)?
  14. 14.Divide ₹371 between Rahul and Diya in the ratio 5 : 2. How much does Rahul get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  17. 17.Divide ₹275 between Aditya and Rahul in the ratio 8 : 3. How much does Rahul get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  19. 19.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  20. 20.Divide ₹432 between Arjun and Kavya in the ratio 5 : 7. How much does Arjun get (in ₹)?
  21. 21.Divide ₹130 between Vivaan and Dev in the ratio 9 : 4. How much does Vivaan get (in ₹)?
  22. 22.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  23. 23.6 : 9 = 42 : ?
  24. 24.5 : 15 = 20 : ?
  25. 25.Divide ₹135 between Pooja and Aditya in the ratio 1 : 2. How much does Pooja get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  27. 27.11 : 6 = 33 : ?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.5 : 14 = 45 : ?
  30. 30.6 : 5 = 30 : ?
  31. 31.Divide ₹418 between Kabir and Ananya in the ratio 9 : 2. How much does Kabir get (in ₹)?
  32. 32.3 : 6 = 9 : ?
  33. 33.4 : 15 = 24 : ?
  34. 34.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  37. 37.3 : 9 = 27 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  39. 39.Divide ₹559 between Pooja and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  40. 40.2 : 13 = 10 : ?

Answer key

  1. 14
  2. 56
  3. 9
  4. 14
  5. 45
  6. 125
  7. 225
  8. 40
  9. 128
  10. 64
  11. 91
  12. 14
  13. 10
  14. 265
  15. 8
  16. 45
  17. 75
  18. 40
  19. 50
  20. 180
  21. 90
  22. 150
  23. 63
  24. 60
  25. 45
  26. 24
  27. 18
  28. 54
  29. 126
  30. 25
  31. 342
  32. 18
  33. 90
  34. 35
  35. 72
  36. 8
  37. 81
  38. 12
  39. 387
  40. 65

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