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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 762 · 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.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  2. 2.12 : 13 = 72 : ?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  6. 6.9 : 14 = 72 : ?
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.Divide ₹312 between Vivaan and Farhan in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  11. 11.Divide ₹416 between Priya and Kavya in the ratio 6 : 7. How much does Priya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  14. 14.Divide ₹429 between Kavya and Rohan in the ratio 3 : 8. How much does Kavya get (in ₹)?
  15. 15.Divide ₹108 between Saanvi and Karan in the ratio 3 : 1. How much does Karan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  17. 17.6 : 11 = 48 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  21. 21.2 : 13 = 10 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  30. 30.3 : 13 = 21 : ?
  31. 31.3 : 8 = 12 : ?
  32. 32.7 : 5 = 56 : ?
  33. 33.Divide ₹130 between Karan and Kavya in the ratio 9 : 4. How much does Kavya get (in ₹)?
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.10 : 12 = 70 : ?
  36. 36.Divide ₹66 between Diya and Aditya in the ratio 4 : 7. How much does Aditya get (in ₹)?
  37. 37.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  38. 38.4 : 11 = 12 : ?
  39. 39.5 : 15 = 15 : ?
  40. 40.Divide ₹490 between Tara and Rohan in the ratio 9 : 1. How much does Tara get (in ₹)?

Answer key

  1. 2
  2. 78
  3. 112
  4. 48
  5. 54
  6. 112
  7. 50
  8. 168
  9. 30
  10. 27
  11. 192
  12. 21
  13. 28
  14. 117
  15. 27
  16. 8
  17. 88
  18. 45
  19. 72
  20. 24
  21. 65
  22. 16
  23. 20
  24. 8
  25. 75
  26. 128
  27. 42
  28. 24
  29. 49
  30. 91
  31. 32
  32. 40
  33. 40
  34. 16
  35. 84
  36. 42
  37. 63
  38. 33
  39. 45
  40. 441

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