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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 315 · 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 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  3. 3.Divide ₹242 between Aditya and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  4. 4.9 : 4 = 54 : ?
  5. 5.Divide ₹343 between Karan and Aditya in the ratio 6 : 1. How much does Karan get (in ₹)?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.Divide ₹156 between Tara and Sneha in the ratio 8 : 5. How much does Sneha get (in ₹)?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  11. 11.Divide ₹392 between Aditya and Priya in the ratio 1 : 6. How much does Aditya get (in ₹)?
  12. 12.Divide ₹210 between Priya and Diya in the ratio 7 : 3. How much does Priya get (in ₹)?
  13. 13.7 : 5 = 14 : ?
  14. 14.Divide ₹112 between Zoya and Aarav in the ratio 5 : 9. How much does Aarav get (in ₹)?
  15. 15.Divide ₹500 between Karan and Priya in the ratio 9 : 1. How much does Karan get (in ₹)?
  16. 16.Divide ₹121 between Arjun and Meera in the ratio 2 : 9. How much does Arjun get (in ₹)?
  17. 17.Divide ₹90 between Isha and Dev in the ratio 1 : 9. How much does Dev get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  19. 19.Divide ₹240 between Karan and Farhan in the ratio 7 : 5. How much does Farhan get (in ₹)?
  20. 20.2 : 6 = 8 : ?
  21. 21.4 : 10 = 24 : ?
  22. 22.12 : 8 = 72 : ?
  23. 23.7 : 12 = 42 : ?
  24. 24.Divide ₹138 between Sneha and Tara in the ratio 1 : 5. How much does Sneha get (in ₹)?
  25. 25.12 : 6 = 36 : ?
  26. 26.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  27. 27.7 : 10 = 49 : ?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  30. 30.9 : 15 = 27 : ?
  31. 31.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  32. 32.2 : 4 = 8 : ?
  33. 33.8 : 6 = 64 : ?
  34. 34.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  35. 35.8 : 15 = 64 : ?
  36. 36.Divide ₹90 between Manav and Aditya in the ratio 7 : 2. How much does Aditya get (in ₹)?
  37. 37.9 : 2 = 54 : ?
  38. 38.7 : 12 = 63 : ?
  39. 39.Divide ₹363 between Zoya and Priya in the ratio 8 : 3. How much does Priya get (in ₹)?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 12
  2. 6
  3. 66
  4. 24
  5. 294
  6. 72
  7. 60
  8. 32
  9. 36
  10. 54
  11. 56
  12. 147
  13. 10
  14. 72
  15. 450
  16. 22
  17. 81
  18. 2
  19. 100
  20. 24
  21. 60
  22. 48
  23. 72
  24. 23
  25. 18
  26. 144
  27. 70
  28. 32
  29. 45
  30. 45
  31. 35
  32. 16
  33. 48
  34. 100
  35. 120
  36. 20
  37. 12
  38. 108
  39. 99
  40. 150

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