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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 859 · 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.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  4. 4.Divide ₹108 between Diya and Tara in the ratio 4 : 5. How much does Diya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  6. 6.Divide ₹392 between Tara and Arjun in the ratio 1 : 7. How much does Tara get (in ₹)?
  7. 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  8. 8.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  9. 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  10. 10.4 : 5 = 24 : ?
  11. 11.4 : 3 = 16 : ?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.10 : 12 = 20 : ?
  14. 14.Divide ₹265 between Diya and Ananya in the ratio 1 : 4. How much does Diya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  17. 17.Divide ₹649 between Pooja and Dev in the ratio 4 : 7. How much does Pooja get (in ₹)?
  18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  20. 20.10 : 13 = 40 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  22. 22.10 : 6 = 80 : ?
  23. 23.Divide ₹170 between Ishaan and Vivaan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  24. 24.3 : 5 = 9 : ?
  25. 25.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  26. 26.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  27. 27.7 : 6 = 21 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  30. 30.11 : 6 = 33 : ?
  31. 31.Divide ₹259 between Kabir and Sneha in the ratio 4 : 3. How much does Kabir get (in ₹)?
  32. 32.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  33. 33.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  34. 34.4 : 9 = 20 : ?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.2 : 5 = 18 : ?
  37. 37.Divide ₹45 between Manav and Priya in the ratio 8 : 1. How much does Priya get (in ₹)?
  38. 38.Divide ₹423 between Meera and Vivaan in the ratio 8 : 1. How much does Meera get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  40. 40.7 : 12 = 56 : ?

Answer key

  1. 27
  2. 36
  3. 40
  4. 48
  5. 15
  6. 49
  7. 96
  8. 70
  9. 28
  10. 30
  11. 12
  12. 50
  13. 24
  14. 53
  15. 6
  16. 30
  17. 236
  18. 200
  19. 18
  20. 52
  21. 27
  22. 48
  23. 102
  24. 15
  25. 20
  26. 8
  27. 18
  28. 6
  29. 24
  30. 18
  31. 148
  32. 75
  33. 63
  34. 45
  35. 12
  36. 45
  37. 5
  38. 376
  39. 54
  40. 96

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