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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 2 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹360 between Zoya and Farhan in the ratio 3 : 5. How much does Zoya get (in ₹)?
  2. 2.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  3. 3.Divide ₹140 between Arjun and Manav in the ratio 2 : 3. How much does Arjun get (in ₹)?
  4. 4.Divide ₹56 between Zoya and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.5 : 7 = 30 : ?
  7. 7.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  8. 8.3 : 4 = 6 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  10. 10.Divide ₹121 between Ananya and Arjun in the ratio 4 : 7. How much does Arjun get (in ₹)?
  11. 11.8 : 6 = 16 : ?
  12. 12.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  15. 15.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  16. 16.Divide ₹187 between Ishaan and Meera in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  18. 18.Divide ₹506 between Arjun and Sneha in the ratio 8 : 3. How much does Arjun get (in ₹)?
  19. 19.Divide ₹986 between Ishaan and Farhan in the ratio 8 : 9. How much does Farhan get (in ₹)?
  20. 20.Divide ₹578 between Isha and Aditya in the ratio 8 : 9. How much does Isha get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  22. 22.Divide ₹260 between Diya and Kabir in the ratio 4 : 9. How much does Diya get (in ₹)?
  23. 23.12 : 7 = 84 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.8 : 6 = 40 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  28. 28.11 : 4 = 66 : ?
  29. 29.Divide ₹228 between Aarav and Kabir in the ratio 3 : 1. How much does Aarav get (in ₹)?
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.5 : 11 = 15 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  33. 33.8 : 6 = 24 : ?
  34. 34.Divide ₹506 between Kabir and Tara in the ratio 4 : 7. How much does Tara get (in ₹)?
  35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  36. 36.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  37. 37.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  38. 38.5 : 8 = 20 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  40. 40.Divide ₹77 between Manav and Rohan in the ratio 4 : 3. How much does Rohan get (in ₹)?

Answer key

  1. 135
  2. 36
  3. 56
  4. 21
  5. 128
  6. 42
  7. 150
  8. 8
  9. 42
  10. 77
  11. 12
  12. 2
  13. 45
  14. 42
  15. 45
  16. 99
  17. 49
  18. 368
  19. 522
  20. 272
  21. 10
  22. 80
  23. 49
  24. 90
  25. 12
  26. 30
  27. 45
  28. 24
  29. 171
  30. 32
  31. 33
  32. 30
  33. 18
  34. 322
  35. 144
  36. 100
  37. 63
  38. 32
  39. 16
  40. 33

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