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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 577 · 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. 1.12 : 11 = 60 : ?
  2. 2.Divide ₹42 between Sneha and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  5. 5.10 : 6 = 80 : ?
  6. 6.Divide ₹495 between Ananya and Kabir in the ratio 5 : 6. How much does Kabir get (in ₹)?
  7. 7.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.Divide ₹462 between Aarav and Arjun in the ratio 5 : 9. How much does Arjun get (in ₹)?
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.Divide ₹220 between Tara and Ananya in the ratio 1 : 3. How much does Ananya get (in ₹)?
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  15. 15.Divide ₹99 between Kabir and Farhan in the ratio 2 : 9. How much does Kabir get (in ₹)?
  16. 16.7 : 13 = 42 : ?
  17. 17.11 : 8 = 22 : ?
  18. 18.Divide ₹288 between Aarav and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  19. 19.4 : 15 = 20 : ?
  20. 20.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  25. 25.Divide ₹368 between Aditya and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  26. 26.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.2 : 12 = 8 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  32. 32.Divide ₹944 between Karan and Rohan in the ratio 9 : 7. How much does Rohan get (in ₹)?
  33. 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  34. 34.2 : 11 = 12 : ?
  35. 35.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  39. 39.Divide ₹88 between Arjun and Pooja in the ratio 1 : 7. How much does Pooja get (in ₹)?
  40. 40.Divide ₹624 between Rahul and Manav in the ratio 9 : 4. How much does Rahul get (in ₹)?

Answer key

  1. 55
  2. 30
  3. 12
  4. 36
  5. 48
  6. 270
  7. 27
  8. 24
  9. 297
  10. 20
  11. 165
  12. 12
  13. 32
  14. 56
  15. 18
  16. 78
  17. 16
  18. 160
  19. 75
  20. 4
  21. 27
  22. 40
  23. 8
  24. 8
  25. 207
  26. 18
  27. 28
  28. 48
  29. 49
  30. 21
  31. 48
  32. 413
  33. 72
  34. 66
  35. 9
  36. 125
  37. 6
  38. 4
  39. 77
  40. 432

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