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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 685 · 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.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.2 : 10 = 10 : ?
  6. 6.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.Divide ₹144 between Farhan and Ananya in the ratio 8 : 1. How much does Farhan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  10. 10.4 : 9 = 32 : ?
  11. 11.Divide ₹260 between Aditya and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  12. 12.9 : 7 = 63 : ?
  13. 13.2 : 3 = 14 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  15. 15.6 : 7 = 36 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  17. 17.10 : 2 = 30 : ?
  18. 18.Divide ₹504 between Aditya and Ishaan in the ratio 7 : 5. How much does Aditya get (in ₹)?
  19. 19.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  20. 20.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  21. 21.11 : 2 = 22 : ?
  22. 22.Divide ₹272 between Kabir and Aditya in the ratio 7 : 9. How much does Kabir get (in ₹)?
  23. 23.Divide ₹121 between Zoya and Arjun in the ratio 4 : 7. How much does Arjun get (in ₹)?
  24. 24.5 : 14 = 20 : ?
  25. 25.12 : 3 = 60 : ?
  26. 26.Divide ₹117 between Rahul and Aarav in the ratio 6 : 7. How much does Aarav get (in ₹)?
  27. 27.9 : 2 = 63 : ?
  28. 28.4 : 14 = 20 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  30. 30.Divide ₹120 between Sneha and Priya in the ratio 1 : 3. How much does Sneha get (in ₹)?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.Divide ₹148 between Kavya and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  33. 33.Divide ₹156 between Sneha and Meera in the ratio 7 : 6. How much does Sneha get (in ₹)?
  34. 34.Divide ₹156 between Nisha and Priya in the ratio 6 : 7. How much does Nisha get (in ₹)?
  35. 35.11 : 8 = 77 : ?
  36. 36.Divide ₹80 between Kabir and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.12 : 14 = 108 : ?
  39. 39.12 : 6 = 72 : ?
  40. 40.Divide ₹55 between Ishaan and Priya in the ratio 8 : 3. How much does Ishaan get (in ₹)?

Answer key

  1. 63
  2. 20
  3. 5
  4. 75
  5. 50
  6. 2
  7. 50
  8. 128
  9. 18
  10. 72
  11. 52
  12. 49
  13. 21
  14. 3
  15. 42
  16. 36
  17. 6
  18. 294
  19. 150
  20. 32
  21. 4
  22. 119
  23. 77
  24. 56
  25. 15
  26. 63
  27. 14
  28. 70
  29. 12
  30. 30
  31. 24
  32. 111
  33. 84
  34. 72
  35. 56
  36. 70
  37. 18
  38. 126
  39. 36
  40. 40

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