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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 743 · 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. 1.8 : 3 = 40 : ?
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.6 : 9 = 42 : ?
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.Divide ₹341 between Nisha and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  10. 10.Divide ₹232 between Tara and Saanvi in the ratio 3 : 5. How much does Tara get (in ₹)?
  11. 11.Divide ₹65 between Kabir and Kavya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  12. 12.12 : 9 = 60 : ?
  13. 13.Divide ₹442 between Arjun and Isha in the ratio 5 : 8. How much does Arjun get (in ₹)?
  14. 14.Divide ₹324 between Kabir and Saanvi in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  15. 15.4 : 12 = 20 : ?
  16. 16.Divide ₹228 between Karan and Meera in the ratio 1 : 3. How much does Karan get (in ₹)?
  17. 17.4 : 6 = 28 : ?
  18. 18.11 : 8 = 88 : ?
  19. 19.4 : 13 = 24 : ?
  20. 20.2 : 7 = 4 : ?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  24. 24.7 : 3 = 14 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  26. 26.10 : 4 = 60 : ?
  27. 27.Divide ₹78 between Tara and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.Divide ₹27 between Zoya and Nisha in the ratio 2 : 1. How much does Zoya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  31. 31.Divide ₹121 between Saanvi and Vivaan in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  32. 32.Divide ₹32 between Saanvi and Isha in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  34. 34.Divide ₹364 between Saanvi and Pooja in the ratio 6 : 1. How much does Pooja get (in ₹)?
  35. 35.Divide ₹102 between Meera and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  37. 37.Divide ₹90 between Arjun and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  38. 38.11 : 9 = 77 : ?
  39. 39.Divide ₹531 between Vivaan and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?
  40. 40.3 : 5 = 6 : ?

Answer key

  1. 15
  2. 112
  3. 63
  4. 30
  5. 16
  6. 20
  7. 155
  8. 27
  9. 128
  10. 87
  11. 39
  12. 45
  13. 170
  14. 252
  15. 60
  16. 57
  17. 42
  18. 64
  19. 78
  20. 14
  21. 175
  22. 28
  23. 81
  24. 6
  25. 56
  26. 24
  27. 42
  28. 8
  29. 18
  30. 10
  31. 77
  32. 24
  33. 63
  34. 52
  35. 17
  36. 18
  37. 63
  38. 63
  39. 118
  40. 10

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