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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 604 · 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. 1.5 : 9 = 45 : ?
  2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.Divide ₹324 between Meera and Isha in the ratio 5 : 4. How much does Isha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  6. 6.4 : 11 = 24 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  8. 8.6 : 9 = 48 : ?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  11. 11.Divide ₹108 between Vivaan and Priya in the ratio 5 : 7. How much does Priya get (in ₹)?
  12. 12.2 : 5 = 10 : ?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  15. 15.12 : 2 = 48 : ?
  16. 16.7 : 15 = 28 : ?
  17. 17.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.12 : 2 = 72 : ?
  20. 20.Divide ₹108 between Farhan and Saanvi in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  21. 21.Divide ₹140 between Farhan and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  22. 22.Divide ₹336 between Arjun and Saanvi in the ratio 1 : 7. How much does Arjun get (in ₹)?
  23. 23.Divide ₹360 between Rohan and Manav in the ratio 5 : 1. How much does Manav get (in ₹)?
  24. 24.12 : 7 = 96 : ?
  25. 25.8 : 12 = 56 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  29. 29.7 : 4 = 21 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  31. 31.Divide ₹44 between Isha and Aarav in the ratio 1 : 3. How much does Isha get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  33. 33.Divide ₹63 between Manav and Aarav in the ratio 1 : 2. How much does Manav get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  35. 35.12 : 5 = 84 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  38. 38.Divide ₹798 between Pooja and Isha in the ratio 5 : 9. How much does Pooja get (in ₹)?
  39. 39.Divide ₹180 between Kabir and Manav in the ratio 3 : 7. How much does Manav get (in ₹)?
  40. 40.8 : 10 = 24 : ?

Answer key

  1. 81
  2. 72
  3. 63
  4. 144
  5. 24
  6. 66
  7. 8
  8. 72
  9. 12
  10. 90
  11. 63
  12. 25
  13. 32
  14. 32
  15. 8
  16. 60
  17. 16
  18. 24
  19. 12
  20. 90
  21. 60
  22. 42
  23. 60
  24. 56
  25. 84
  26. 30
  27. 7
  28. 42
  29. 12
  30. 4
  31. 11
  32. 70
  33. 21
  34. 30
  35. 35
  36. 18
  37. 30
  38. 285
  39. 126
  40. 30

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