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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 425 · 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).

NameDateTime takenScore ___ / 40
  1. 1.2 : 11 = 10 : ?
  2. 2.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  3. 3.4 : 10 = 24 : ?
  4. 4.6 : 14 = 54 : ?
  5. 5.Divide ₹636 between Aditya and Kavya in the ratio 7 : 5. How much does Aditya get (in ₹)?
  6. 6.Divide ₹195 between Diya and Meera in the ratio 7 : 8. How much does Diya get (in ₹)?
  7. 7.2 : 13 = 6 : ?
  8. 8.3 : 8 = 15 : ?
  9. 9.10 : 9 = 90 : ?
  10. 10.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  11. 11.4 : 8 = 20 : ?
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.Divide ₹90 between Aarav and Isha in the ratio 7 : 3. How much does Aarav get (in ₹)?
  14. 14.Divide ₹795 between Saanvi and Sneha in the ratio 8 : 7. How much does Sneha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.3 : 2 = 21 : ?
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  20. 20.10 : 4 = 20 : ?
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.5 : 8 = 30 : ?
  23. 23.Divide ₹18 between Rahul and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  24. 24.Divide ₹385 between Ananya and Manav in the ratio 6 : 5. How much does Manav get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  27. 27.Divide ₹540 between Rohan and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
  28. 28.Divide ₹280 between Vivaan and Dev in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  29. 29.3 : 10 = 9 : ?
  30. 30.Divide ₹495 between Aarav and Kabir in the ratio 9 : 2. How much does Aarav get (in ₹)?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.Divide ₹217 between Dev and Manav in the ratio 4 : 3. How much does Manav get (in ₹)?
  33. 33.12 : 13 = 96 : ?
  34. 34.Divide ₹45 between Arjun and Rohan in the ratio 1 : 8. How much does Arjun get (in ₹)?
  35. 35.Divide ₹234 between Ishaan and Rohan in the ratio 5 : 8. How much does Rohan get (in ₹)?
  36. 36.9 : 10 = 54 : ?
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  39. 39.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  40. 40.Divide ₹176 between Diya and Isha in the ratio 1 : 7. How much does Diya get (in ₹)?

Answer key

  1. 55
  2. 24
  3. 60
  4. 126
  5. 371
  6. 91
  7. 39
  8. 40
  9. 81
  10. 100
  11. 40
  12. 63
  13. 63
  14. 371
  15. 3
  16. 16
  17. 14
  18. 28
  19. 18
  20. 8
  21. 75
  22. 48
  23. 12
  24. 175
  25. 70
  26. 18
  27. 60
  28. 168
  29. 30
  30. 405
  31. 8
  32. 93
  33. 104
  34. 5
  35. 144
  36. 60
  37. 32
  38. 32
  39. 20
  40. 22

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