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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 837 · 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 9 (that is, 3 : 9 = 9 : ?).
  2. 2.10 : 12 = 70 : ?
  3. 3.3 : 10 = 27 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  5. 5.11 : 5 = 55 : ?
  6. 6.Divide ₹126 between Kabir and Ishaan in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.6 : 5 = 30 : ?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.Divide ₹495 between Diya and Karan in the ratio 1 : 8. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  13. 13.11 : 6 = 44 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  15. 15.5 : 9 = 40 : ?
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  17. 17.Divide ₹15 between Pooja and Kavya in the ratio 2 : 1. How much does Pooja get (in ₹)?
  18. 18.Divide ₹144 between Diya and Ananya in the ratio 8 : 1. How much does Diya get (in ₹)?
  19. 19.3 : 2 = 6 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  23. 23.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  24. 24.10 : 3 = 70 : ?
  25. 25.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  26. 26.Divide ₹208 between Vivaan and Dev in the ratio 9 : 7. How much does Dev get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.2 : 14 = 12 : ?
  31. 31.4 : 7 = 36 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  36. 36.Divide ₹143 between Vivaan and Priya in the ratio 6 : 7. How much does Priya get (in ₹)?
  37. 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  38. 38.Divide ₹288 between Meera and Sneha in the ratio 7 : 2. How much does Meera get (in ₹)?
  39. 39.Divide ₹243 between Dev and Nisha in the ratio 2 : 7. How much does Nisha get (in ₹)?
  40. 40.Divide ₹416 between Arjun and Tara in the ratio 7 : 6. How much does Tara get (in ₹)?

Answer key

  1. 27
  2. 84
  3. 90
  4. 35
  5. 25
  6. 18
  7. 8
  8. 25
  9. 75
  10. 440
  11. 8
  12. 6
  13. 24
  14. 18
  15. 72
  16. 42
  17. 10
  18. 128
  19. 4
  20. 49
  21. 96
  22. 72
  23. 8
  24. 21
  25. 144
  26. 91
  27. 10
  28. 32
  29. 24
  30. 84
  31. 63
  32. 20
  33. 50
  34. 45
  35. 49
  36. 77
  37. 20
  38. 224
  39. 189
  40. 192

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