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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 973 · 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 ₹60 between Manav and Kabir in the ratio 5 : 7. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  4. 4.7 : 2 = 63 : ?
  5. 5.2 : 10 = 12 : ?
  6. 6.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  7. 7.8 : 4 = 56 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.10 : 9 = 70 : ?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Divide ₹442 between Rahul and Vivaan in the ratio 8 : 9. How much does Rahul get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  14. 14.10 : 7 = 80 : ?
  15. 15.Divide ₹176 between Zoya and Dev in the ratio 7 : 9. How much does Zoya get (in ₹)?
  16. 16.5 : 6 = 30 : ?
  17. 17.6 : 3 = 24 : ?
  18. 18.8 : 2 = 32 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  20. 20.8 : 12 = 16 : ?
  21. 21.5 : 6 = 20 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  25. 25.Divide ₹49 between Aarav and Meera in the ratio 2 : 5. How much does Aarav get (in ₹)?
  26. 26.3 : 12 = 24 : ?
  27. 27.12 : 11 = 108 : ?
  28. 28.3 : 8 = 21 : ?
  29. 29.Divide ₹387 between Aarav and Saanvi in the ratio 5 : 4. How much does Aarav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.Divide ₹70 between Aditya and Meera in the ratio 4 : 1. How much does Aditya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  35. 35.8 : 6 = 24 : ?
  36. 36.12 : 13 = 96 : ?
  37. 37.Divide ₹240 between Pooja and Rahul in the ratio 3 : 5. How much does Rahul get (in ₹)?
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?

Answer key

  1. 35
  2. 35
  3. 12
  4. 18
  5. 60
  6. 12
  7. 28
  8. 12
  9. 175
  10. 63
  11. 18
  12. 208
  13. 36
  14. 56
  15. 77
  16. 36
  17. 12
  18. 8
  19. 18
  20. 24
  21. 24
  22. 4
  23. 50
  24. 8
  25. 14
  26. 96
  27. 99
  28. 56
  29. 215
  30. 3
  31. 27
  32. 56
  33. 4
  34. 35
  35. 18
  36. 104
  37. 150
  38. 24
  39. 64
  40. 4

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