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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 952 · 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.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  2. 2.Divide ₹396 between Priya and Zoya in the ratio 8 : 1. How much does Zoya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  4. 4.Divide ₹80 between Saanvi and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  5. 5.3 : 9 = 24 : ?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.12 : 15 = 72 : ?
  8. 8.11 : 15 = 55 : ?
  9. 9.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  10. 10.Divide ₹129 between Arjun and Dev in the ratio 1 : 2. How much does Arjun get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  13. 13.8 : 7 = 48 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  15. 15.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  16. 16.Divide ₹126 between Priya and Sneha in the ratio 4 : 5. How much does Priya get (in ₹)?
  17. 17.4 : 2 = 16 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  23. 23.Divide ₹270 between Rahul and Farhan in the ratio 1 : 5. How much does Rahul get (in ₹)?
  24. 24.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  25. 25.Divide ₹99 between Ishaan and Dev in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.3 : 5 = 18 : ?
  28. 28.Divide ₹170 between Nisha and Aditya in the ratio 9 : 8. How much does Nisha get (in ₹)?
  29. 29.2 : 6 = 4 : ?
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.2 : 12 = 18 : ?
  32. 32.7 : 8 = 28 : ?
  33. 33.Divide ₹450 between Karan and Kabir in the ratio 7 : 3. How much does Karan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  36. 36.6 : 7 = 54 : ?
  37. 37.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  38. 38.Divide ₹130 between Aditya and Dev in the ratio 9 : 4. How much does Dev get (in ₹)?
  39. 39.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  40. 40.Divide ₹390 between Kabir and Arjun in the ratio 9 : 1. How much does Arjun get (in ₹)?

Answer key

  1. 25
  2. 44
  3. 12
  4. 8
  5. 72
  6. 28
  7. 90
  8. 75
  9. 56
  10. 43
  11. 27
  12. 16
  13. 42
  14. 12
  15. 150
  16. 56
  17. 8
  18. 21
  19. 16
  20. 36
  21. 32
  22. 70
  23. 45
  24. 45
  25. 18
  26. 63
  27. 30
  28. 90
  29. 12
  30. 48
  31. 108
  32. 32
  33. 315
  34. 28
  35. 4
  36. 63
  37. 9
  38. 40
  39. 175
  40. 39

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