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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 249 · 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.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  2. 2.2 : 5 = 14 : ?
  3. 3.5 : 4 = 20 : ?
  4. 4.Divide ₹390 between Arjun and Rohan in the ratio 9 : 4. How much does Arjun get (in ₹)?
  5. 5.5 : 2 = 45 : ?
  6. 6.6 : 15 = 24 : ?
  7. 7.Divide ₹141 between Sneha and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
  8. 8.Divide ₹315 between Kabir and Aditya in the ratio 8 : 1. How much does Aditya get (in ₹)?
  9. 9.4 : 5 = 28 : ?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  12. 12.5 : 12 = 20 : ?
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.2 : 10 = 8 : ?
  15. 15.7 : 6 = 42 : ?
  16. 16.8 : 11 = 72 : ?
  17. 17.Divide ₹130 between Sneha and Dev in the ratio 4 : 1. How much does Sneha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  20. 20.11 : 2 = 66 : ?
  21. 21.Divide ₹570 between Aarav and Sneha in the ratio 8 : 7. How much does Aarav get (in ₹)?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.Divide ₹260 between Diya and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  25. 25.Divide ₹63 between Dev and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.8 : 13 = 32 : ?
  29. 29.3 : 2 = 24 : ?
  30. 30.Divide ₹150 between Isha and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  31. 31.Divide ₹66 between Sneha and Isha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  32. 32.3 : 5 = 21 : ?
  33. 33.Divide ₹27 between Tara and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  34. 34.8 : 7 = 72 : ?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.Divide ₹555 between Tara and Manav in the ratio 8 : 7. How much does Tara get (in ₹)?
  37. 37.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  38. 38.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  39. 39.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  40. 40.Divide ₹117 between Kabir and Tara in the ratio 1 : 2. How much does Kabir get (in ₹)?

Answer key

  1. 21
  2. 35
  3. 16
  4. 270
  5. 18
  6. 60
  7. 94
  8. 35
  9. 35
  10. 32
  11. 15
  12. 48
  13. 36
  14. 40
  15. 36
  16. 99
  17. 104
  18. 63
  19. 12
  20. 12
  21. 304
  22. 50
  23. 104
  24. 18
  25. 54
  26. 48
  27. 96
  28. 52
  29. 16
  30. 50
  31. 11
  32. 35
  33. 9
  34. 63
  35. 24
  36. 296
  37. 175
  38. 16
  39. 24
  40. 39

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