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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 521 · 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 4 and 8 (that is, 4 : 8 = 8 : ?).
  2. 2.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  4. 4.Divide ₹612 between Ishaan and Aarav in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  5. 5.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.6 : 12 = 42 : ?
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  9. 9.Divide ₹189 between Diya and Nisha in the ratio 3 : 4. How much does Nisha get (in ₹)?
  10. 10.Divide ₹376 between Diya and Farhan in the ratio 7 : 1. How much does Diya get (in ₹)?
  11. 11.9 : 5 = 45 : ?
  12. 12.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  13. 13.Divide ₹126 between Meera and Kabir in the ratio 7 : 2. How much does Meera get (in ₹)?
  14. 14.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  15. 15.12 : 15 = 48 : ?
  16. 16.12 : 13 = 60 : ?
  17. 17.Divide ₹767 between Dev and Ishaan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  18. 18.Divide ₹416 between Nisha and Aarav in the ratio 5 : 3. How much does Aarav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  21. 21.Divide ₹637 between Farhan and Arjun in the ratio 4 : 9. How much does Arjun get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  23. 23.4 : 15 = 24 : ?
  24. 24.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  27. 27.2 : 12 = 12 : ?
  28. 28.4 : 15 = 16 : ?
  29. 29.Divide ₹260 between Ishaan and Tara in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  31. 31.Divide ₹468 between Kabir and Vivaan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  34. 34.Divide ₹392 between Manav and Kabir in the ratio 9 : 5. How much does Manav get (in ₹)?
  35. 35.Divide ₹126 between Dev and Isha in the ratio 5 : 9. How much does Isha get (in ₹)?
  36. 36.10 : 4 = 90 : ?
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.Divide ₹795 between Dev and Ishaan in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  40. 40.Divide ₹300 between Sneha and Priya in the ratio 7 : 8. How much does Priya get (in ₹)?

Answer key

  1. 16
  2. 8
  3. 5
  4. 288
  5. 32
  6. 18
  7. 84
  8. 2
  9. 108
  10. 329
  11. 25
  12. 5
  13. 98
  14. 144
  15. 60
  16. 65
  17. 531
  18. 156
  19. 18
  20. 48
  21. 441
  22. 72
  23. 90
  24. 50
  25. 30
  26. 28
  27. 72
  28. 60
  29. 160
  30. 20
  31. 104
  32. 32
  33. 200
  34. 252
  35. 81
  36. 36
  37. 16
  38. 63
  39. 371
  40. 160

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