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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 397 · 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 4 : 9. There are 8 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  3. 3.5 : 11 = 40 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  5. 5.12 : 6 = 108 : ?
  6. 6.Divide ₹513 between Vivaan and Ananya in the ratio 7 : 2. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  8. 8.5 : 14 = 25 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  10. 10.Divide ₹420 between Vivaan and Sneha in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  12. 12.Divide ₹70 between Kabir and Rahul in the ratio 5 : 9. How much does Kabir get (in ₹)?
  13. 13.Divide ₹210 between Zoya and Aditya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  14. 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  17. 17.12 : 4 = 84 : ?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.8 : 10 = 24 : ?
  22. 22.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.Divide ₹441 between Diya and Manav in the ratio 5 : 4. How much does Diya get (in ₹)?
  25. 25.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.9 : 4 = 81 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  29. 29.Divide ₹385 between Kavya and Kabir in the ratio 5 : 2. How much does Kabir get (in ₹)?
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  32. 32.2 : 10 = 4 : ?
  33. 33.Divide ₹253 between Saanvi and Farhan in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  34. 34.Divide ₹660 between Rahul and Ishaan in the ratio 2 : 9. How much does Rahul get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.Divide ₹252 between Nisha and Meera in the ratio 5 : 9. How much does Meera get (in ₹)?
  38. 38.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  39. 39.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  40. 40.12 : 13 = 84 : ?

Answer key

  1. 18
  2. 36
  3. 88
  4. 72
  5. 54
  6. 114
  7. 45
  8. 70
  9. 16
  10. 240
  11. 6
  12. 25
  13. 126
  14. 36
  15. 32
  16. 112
  17. 28
  18. 27
  19. 6
  20. 75
  21. 30
  22. 28
  23. 18
  24. 245
  25. 125
  26. 96
  27. 36
  28. 4
  29. 110
  30. 24
  31. 27
  32. 20
  33. 46
  34. 120
  35. 4
  36. 54
  37. 162
  38. 45
  39. 5
  40. 91

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