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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 653 · 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.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.6 : 14 = 18 : ?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.Divide ₹91 between Meera and Aarav in the ratio 9 : 4. How much does Aarav get (in ₹)?
  5. 5.Divide ₹369 between Manav and Arjun in the ratio 2 : 7. How much does Manav get (in ₹)?
  6. 6.11 : 7 = 22 : ?
  7. 7.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  8. 8.Divide ₹371 between Isha and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
  9. 9.8 : 11 = 48 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Divide ₹81 between Vivaan and Meera in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  12. 12.Divide ₹245 between Aditya and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
  13. 13.Divide ₹176 between Rahul and Vivaan in the ratio 9 : 2. How much does Vivaan get (in ₹)?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.10 : 5 = 90 : ?
  16. 16.9 : 11 = 63 : ?
  17. 17.3 : 14 = 12 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  22. 22.Divide ₹374 between Farhan and Meera in the ratio 4 : 7. How much does Farhan get (in ₹)?
  23. 23.Divide ₹132 between Arjun and Rahul in the ratio 5 : 6. How much does Rahul get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  26. 26.Divide ₹102 between Zoya and Priya in the ratio 1 : 5. How much does Zoya get (in ₹)?
  27. 27.12 : 11 = 24 : ?
  28. 28.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  29. 29.11 : 13 = 44 : ?
  30. 30.4 : 5 = 8 : ?
  31. 31.Divide ₹177 between Kabir and Kavya in the ratio 2 : 1. How much does Kavya get (in ₹)?
  32. 32.4 : 7 = 36 : ?
  33. 33.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  34. 34.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  35. 35.Divide ₹390 between Arjun and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  40. 40.Divide ₹238 between Aditya and Dev in the ratio 9 : 5. How much does Dev get (in ₹)?

Answer key

  1. 144
  2. 42
  3. 50
  4. 28
  5. 82
  6. 14
  7. 8
  8. 53
  9. 66
  10. 75
  11. 27
  12. 98
  13. 32
  14. 100
  15. 45
  16. 77
  17. 56
  18. 7
  19. 32
  20. 12
  21. 8
  22. 136
  23. 72
  24. 2
  25. 225
  26. 17
  27. 22
  28. 45
  29. 52
  30. 10
  31. 59
  32. 63
  33. 45
  34. 15
  35. 210
  36. 63
  37. 5
  38. 72
  39. 35
  40. 85

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