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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 362 · 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.Divide ₹420 between Rohan and Manav in the ratio 6 : 1. How much does Manav get (in ₹)?
  3. 3.Divide ₹207 between Vivaan and Kavya in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  4. 4.Divide ₹627 between Rohan and Dev in the ratio 4 : 7. How much does Rohan get (in ₹)?
  5. 5.9 : 14 = 18 : ?
  6. 6.11 : 4 = 99 : ?
  7. 7.7 : 5 = 28 : ?
  8. 8.Divide ₹405 between Meera and Kabir in the ratio 1 : 8. How much does Meera get (in ₹)?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.Divide ₹308 between Aarav and Arjun in the ratio 2 : 5. How much does Aarav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  12. 12.Divide ₹27 between Diya and Sneha in the ratio 1 : 2. How much does Sneha get (in ₹)?
  13. 13.Divide ₹126 between Aditya and Priya in the ratio 2 : 5. How much does Priya get (in ₹)?
  14. 14.Divide ₹45 between Saanvi and Karan in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  15. 15.11 : 3 = 77 : ?
  16. 16.Divide ₹323 between Vivaan and Meera in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  17. 17.11 : 14 = 66 : ?
  18. 18.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  19. 19.Divide ₹407 between Nisha and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
  20. 20.Divide ₹184 between Karan and Tara in the ratio 3 : 5. How much does Tara get (in ₹)?
  21. 21.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  22. 22.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  23. 23.4 : 8 = 16 : ?
  24. 24.3 : 10 = 15 : ?
  25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  28. 28.6 : 14 = 54 : ?
  29. 29.Divide ₹253 between Rohan and Kabir in the ratio 3 : 8. How much does Rohan get (in ₹)?
  30. 30.8 : 13 = 48 : ?
  31. 31.9 : 2 = 72 : ?
  32. 32.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  33. 33.5 : 7 = 40 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  36. 36.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  40. 40.Divide ₹105 between Saanvi and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?

Answer key

  1. 63
  2. 60
  3. 46
  4. 228
  5. 28
  6. 36
  7. 20
  8. 45
  9. 50
  10. 88
  11. 9
  12. 18
  13. 90
  14. 27
  15. 21
  16. 171
  17. 84
  18. 64
  19. 74
  20. 115
  21. 45
  22. 27
  23. 32
  24. 50
  25. 100
  26. 27
  27. 175
  28. 126
  29. 69
  30. 78
  31. 16
  32. 36
  33. 56
  34. 9
  35. 32
  36. 150
  37. 32
  38. 12
  39. 10
  40. 42

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