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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 716 · 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 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.3 : 7 = 18 : ?
  3. 3.8 : 4 = 64 : ?
  4. 4.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  5. 5.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  6. 6.2 : 11 = 12 : ?
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.Divide ₹420 between Diya and Arjun in the ratio 1 : 9. How much does Diya get (in ₹)?
  9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  10. 10.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  11. 11.Divide ₹76 between Nisha and Farhan in the ratio 1 : 3. How much does Nisha get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  13. 13.9 : 12 = 18 : ?
  14. 14.Divide ₹189 between Farhan and Karan in the ratio 7 : 2. How much does Karan get (in ₹)?
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  17. 17.7 : 9 = 56 : ?
  18. 18.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  19. 19.Divide ₹80 between Zoya and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
  20. 20.12 : 15 = 108 : ?
  21. 21.Divide ₹196 between Ananya and Sneha in the ratio 5 : 9. How much does Ananya get (in ₹)?
  22. 22.12 : 11 = 24 : ?
  23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  25. 25.9 : 4 = 81 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  27. 27.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  28. 28.7 : 5 = 42 : ?
  29. 29.Divide ₹270 between Karan and Ishaan in the ratio 1 : 5. How much does Karan get (in ₹)?
  30. 30.Divide ₹198 between Zoya and Aarav in the ratio 5 : 6. How much does Zoya get (in ₹)?
  31. 31.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  32. 32.Divide ₹360 between Farhan and Ananya in the ratio 7 : 8. How much does Farhan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  34. 34.6 : 13 = 30 : ?
  35. 35.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  37. 37.Divide ₹644 between Kavya and Karan in the ratio 9 : 5. How much does Karan get (in ₹)?
  38. 38.Divide ₹594 between Priya and Aditya in the ratio 4 : 7. How much does Priya get (in ₹)?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.Divide ₹392 between Zoya and Kabir in the ratio 5 : 9. How much does Kabir get (in ₹)?

Answer key

  1. 128
  2. 42
  3. 32
  4. 63
  5. 72
  6. 66
  7. 18
  8. 42
  9. 24
  10. 20
  11. 19
  12. 12
  13. 24
  14. 42
  15. 75
  16. 18
  17. 72
  18. 14
  19. 32
  20. 135
  21. 70
  22. 22
  23. 225
  24. 32
  25. 36
  26. 5
  27. 8
  28. 30
  29. 45
  30. 90
  31. 175
  32. 168
  33. 63
  34. 65
  35. 45
  36. 6
  37. 230
  38. 216
  39. 48
  40. 252

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