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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 488 · 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.Divide ₹80 between Karan and Kabir in the ratio 1 : 9. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  4. 4.10 : 3 = 40 : ?
  5. 5.Divide ₹272 between Tara and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  6. 6.6 : 14 = 48 : ?
  7. 7.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  8. 8.3 : 2 = 6 : ?
  9. 9.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  13. 13.3 : 11 = 21 : ?
  14. 14.2 : 6 = 14 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  18. 18.Divide ₹396 between Kavya and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.4 : 3 = 36 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  22. 22.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  23. 23.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  24. 24.Divide ₹195 between Rahul and Manav in the ratio 4 : 1. How much does Manav get (in ₹)?
  25. 25.8 : 3 = 56 : ?
  26. 26.Divide ₹65 between Meera and Pooja in the ratio 4 : 1. How much does Meera get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  29. 29.Divide ₹192 between Meera and Karan in the ratio 3 : 1. How much does Meera get (in ₹)?
  30. 30.Divide ₹69 between Dev and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  31. 31.Divide ₹315 between Kabir and Tara in the ratio 1 : 8. How much does Tara get (in ₹)?
  32. 32.Divide ₹126 between Rahul and Karan in the ratio 2 : 5. How much does Rahul get (in ₹)?
  33. 33.9 : 6 = 54 : ?
  34. 34.2 : 3 = 6 : ?
  35. 35.Divide ₹272 between Aditya and Arjun in the ratio 3 : 5. How much does Aditya get (in ₹)?
  36. 36.Divide ₹187 between Kabir and Arjun in the ratio 9 : 2. How much does Kabir get (in ₹)?
  37. 37.12 : 8 = 48 : ?
  38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  39. 39.6 : 2 = 12 : ?
  40. 40.Divide ₹195 between Rohan and Pooja in the ratio 3 : 2. How much does Rohan get (in ₹)?

Answer key

  1. 72
  2. 27
  3. 15
  4. 12
  5. 119
  6. 112
  7. 56
  8. 4
  9. 45
  10. 32
  11. 12
  12. 35
  13. 77
  14. 42
  15. 32
  16. 32
  17. 50
  18. 88
  19. 96
  20. 27
  21. 8
  22. 175
  23. 28
  24. 39
  25. 21
  26. 52
  27. 48
  28. 5
  29. 144
  30. 46
  31. 280
  32. 36
  33. 36
  34. 9
  35. 102
  36. 153
  37. 32
  38. 144
  39. 4
  40. 117

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