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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 835 · 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.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.4 : 7 = 32 : ?
  7. 7.4 : 13 = 16 : ?
  8. 8.Divide ₹78 between Priya and Rohan in the ratio 8 : 5. How much does Rohan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  11. 11.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  12. 12.4 : 5 = 12 : ?
  13. 13.Divide ₹336 between Aarav and Meera in the ratio 4 : 3. How much does Meera get (in ₹)?
  14. 14.10 : 2 = 40 : ?
  15. 15.5 : 7 = 45 : ?
  16. 16.12 : 6 = 60 : ?
  17. 17.Divide ₹180 between Aarav and Rohan in the ratio 5 : 4. How much does Aarav get (in ₹)?
  18. 18.6 : 4 = 12 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  20. 20.Divide ₹165 between Nisha and Aditya in the ratio 1 : 4. How much does Aditya get (in ₹)?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.Divide ₹64 between Zoya and Tara in the ratio 3 : 5. How much does Zoya get (in ₹)?
  24. 24.Divide ₹80 between Kavya and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  25. 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  26. 26.5 : 10 = 10 : ?
  27. 27.6 : 13 = 54 : ?
  28. 28.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  29. 29.3 : 14 = 24 : ?
  30. 30.2 : 14 = 8 : ?
  31. 31.3 : 2 = 21 : ?
  32. 32.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  34. 34.Divide ₹320 between Pooja and Priya in the ratio 9 : 7. How much does Priya get (in ₹)?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Divide ₹165 between Priya and Pooja in the ratio 8 : 7. How much does Priya get (in ₹)?
  37. 37.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  39. 39.2 : 11 = 8 : ?
  40. 40.Divide ₹700 between Farhan and Manav in the ratio 9 : 5. How much does Manav get (in ₹)?

Answer key

  1. 2
  2. 42
  3. 20
  4. 64
  5. 18
  6. 56
  7. 52
  8. 30
  9. 35
  10. 72
  11. 70
  12. 15
  13. 144
  14. 8
  15. 63
  16. 30
  17. 100
  18. 8
  19. 27
  20. 132
  21. 32
  22. 12
  23. 24
  24. 8
  25. 128
  26. 20
  27. 117
  28. 12
  29. 112
  30. 56
  31. 14
  32. 2
  33. 8
  34. 140
  35. 8
  36. 88
  37. 175
  38. 8
  39. 44
  40. 250

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