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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 793 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹117 between Manav and Priya in the ratio 6 : 7. How much does Priya get (in ₹)?
  2. 2.4 : 11 = 8 : ?
  3. 3.Divide ₹168 between Manav and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  4. 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  5. 5.Divide ₹147 between Ananya and Pooja in the ratio 4 : 3. How much does Pooja get (in ₹)?
  6. 6.12 : 5 = 72 : ?
  7. 7.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  10. 10.Divide ₹456 between Ananya and Rahul in the ratio 7 : 5. How much does Rahul get (in ₹)?
  11. 11.3 : 13 = 12 : ?
  12. 12.Divide ₹368 between Kabir and Pooja in the ratio 7 : 1. How much does Pooja get (in ₹)?
  13. 13.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  14. 14.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  15. 15.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  16. 16.5 : 10 = 40 : ?
  17. 17.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  18. 18.Divide ₹590 between Priya and Rohan in the ratio 3 : 7. How much does Rohan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.Divide ₹100 between Pooja and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  22. 22.11 : 5 = 22 : ?
  23. 23.Divide ₹460 between Ishaan and Meera in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  24. 24.3 : 9 = 24 : ?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.5 : 2 = 40 : ?
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  29. 29.Divide ₹99 between Vivaan and Priya in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  30. 30.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.Divide ₹765 between Diya and Kabir in the ratio 8 : 7. How much does Diya get (in ₹)?
  34. 34.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  35. 35.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  36. 36.12 : 11 = 48 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  38. 38.Divide ₹63 between Diya and Karan in the ratio 3 : 4. How much does Diya get (in ₹)?
  39. 39.11 : 7 = 33 : ?
  40. 40.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?

Answer key

  1. 63
  2. 22
  3. 112
  4. 100
  5. 63
  6. 30
  7. 70
  8. 54
  9. 10
  10. 190
  11. 52
  12. 46
  13. 20
  14. 40
  15. 96
  16. 80
  17. 225
  18. 413
  19. 25
  20. 16
  21. 60
  22. 10
  23. 46
  24. 72
  25. 27
  26. 63
  27. 16
  28. 81
  29. 77
  30. 64
  31. 6
  32. 112
  33. 408
  34. 175
  35. 56
  36. 44
  37. 80
  38. 27
  39. 21
  40. 56

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