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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 686 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.3 : 10 = 15 : ?
  3. 3.11 : 10 = 99 : ?
  4. 4.12 : 3 = 48 : ?
  5. 5.Divide ₹115 between Sneha and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.Divide ₹154 between Rohan and Kavya in the ratio 9 : 2. How much does Rohan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  10. 10.11 : 8 = 33 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  13. 13.Divide ₹196 between Meera and Kavya in the ratio 4 : 3. How much does Meera get (in ₹)?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.10 : 6 = 50 : ?
  16. 16.Divide ₹533 between Saanvi and Dev in the ratio 8 : 5. How much does Dev get (in ₹)?
  17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  18. 18.7 : 14 = 14 : ?
  19. 19.2 : 4 = 14 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  21. 21.9 : 2 = 72 : ?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  26. 26.10 : 14 = 30 : ?
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Divide ₹306 between Meera and Pooja in the ratio 2 : 7. How much does Pooja get (in ₹)?
  32. 32.Divide ₹324 between Aditya and Farhan in the ratio 7 : 5. How much does Farhan get (in ₹)?
  33. 33.Divide ₹624 between Manav and Aditya in the ratio 8 : 5. How much does Manav get (in ₹)?
  34. 34.Divide ₹304 between Arjun and Zoya in the ratio 7 : 9. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  36. 36.Divide ₹108 between Vivaan and Manav in the ratio 5 : 1. How much does Manav get (in ₹)?
  37. 37.2 : 4 = 8 : ?
  38. 38.Divide ₹80 between Aarav and Sneha in the ratio 9 : 1. How much does Aarav get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  40. 40.Divide ₹484 between Dev and Ishaan in the ratio 5 : 6. How much does Dev get (in ₹)?

Answer key

  1. 50
  2. 50
  3. 90
  4. 12
  5. 69
  6. 30
  7. 200
  8. 126
  9. 10
  10. 24
  11. 45
  12. 4
  13. 112
  14. 8
  15. 30
  16. 205
  17. 64
  18. 28
  19. 28
  20. 50
  21. 16
  22. 2
  23. 63
  24. 24
  25. 7
  26. 42
  27. 45
  28. 30
  29. 24
  30. 150
  31. 238
  32. 135
  33. 384
  34. 133
  35. 27
  36. 18
  37. 16
  38. 72
  39. 70
  40. 220

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