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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 948 · 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 ₹209 between Meera and Vivaan in the ratio 9 : 2. How much does Vivaan get (in ₹)?
  2. 2.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  3. 3.Divide ₹177 between Nisha and Farhan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  5. 5.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  6. 6.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  7. 7.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  9. 9.7 : 15 = 56 : ?
  10. 10.Divide ₹129 between Pooja and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  11. 11.8 : 11 = 64 : ?
  12. 12.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  14. 14.9 : 2 = 36 : ?
  15. 15.Divide ₹341 between Karan and Sneha in the ratio 8 : 3. How much does Sneha get (in ₹)?
  16. 16.Divide ₹162 between Diya and Karan in the ratio 1 : 8. How much does Diya get (in ₹)?
  17. 17.9 : 10 = 72 : ?
  18. 18.Divide ₹342 between Pooja and Ananya in the ratio 8 : 1. How much does Pooja get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  21. 21.Divide ₹352 between Ishaan and Priya in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  22. 22.Divide ₹432 between Nisha and Arjun in the ratio 1 : 7. How much does Nisha get (in ₹)?
  23. 23.Divide ₹20 between Aditya and Diya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  24. 24.11 : 10 = 66 : ?
  25. 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  26. 26.4 : 8 = 20 : ?
  27. 27.12 : 11 = 48 : ?
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.Divide ₹220 between Meera and Farhan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.10 : 5 = 50 : ?
  35. 35.11 : 8 = 44 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  37. 37.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  38. 38.8 : 15 = 64 : ?
  39. 39.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  40. 40.10 : 13 = 50 : ?

Answer key

  1. 38
  2. 150
  3. 59
  4. 24
  5. 80
  6. 112
  7. 12
  8. 35
  9. 120
  10. 86
  11. 88
  12. 28
  13. 63
  14. 8
  15. 93
  16. 18
  17. 80
  18. 304
  19. 28
  20. 6
  21. 198
  22. 54
  23. 5
  24. 60
  25. 63
  26. 40
  27. 44
  28. 24
  29. 24
  30. 120
  31. 72
  32. 2
  33. 16
  34. 25
  35. 32
  36. 15
  37. 75
  38. 120
  39. 8
  40. 65

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