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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 884 · 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.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Divide ₹315 between Dev and Farhan in the ratio 5 : 2. How much does Dev get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  7. 7.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.8 : 10 = 72 : ?
  10. 10.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  12. 12.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  13. 13.Divide ₹270 between Diya and Kabir in the ratio 5 : 4. How much does Diya get (in ₹)?
  14. 14.9 : 3 = 18 : ?
  15. 15.Divide ₹294 between Diya and Zoya in the ratio 5 : 2. How much does Diya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  20. 20.Divide ₹510 between Diya and Pooja in the ratio 7 : 8. How much does Diya get (in ₹)?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  24. 24.9 : 2 = 63 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  27. 27.10 : 4 = 40 : ?
  28. 28.Divide ₹207 between Rohan and Isha in the ratio 7 : 2. How much does Isha get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  30. 30.9 : 6 = 54 : ?
  31. 31.8 : 12 = 40 : ?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.11 : 3 = 22 : ?
  34. 34.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  35. 35.Divide ₹132 between Saanvi and Tara in the ratio 7 : 5. How much does Tara get (in ₹)?
  36. 36.Divide ₹69 between Sneha and Kavya in the ratio 1 : 2. How much does Sneha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  38. 38.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  39. 39.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  40. 40.Divide ₹840 between Nisha and Ananya in the ratio 8 : 7. How much does Ananya get (in ₹)?

Answer key

  1. 7
  2. 48
  3. 32
  4. 225
  5. 63
  6. 36
  7. 28
  8. 27
  9. 90
  10. 70
  11. 75
  12. 54
  13. 150
  14. 6
  15. 210
  16. 16
  17. 36
  18. 175
  19. 56
  20. 238
  21. 50
  22. 36
  23. 128
  24. 14
  25. 12
  26. 16
  27. 16
  28. 46
  29. 63
  30. 36
  31. 60
  32. 81
  33. 6
  34. 8
  35. 55
  36. 23
  37. 40
  38. 16
  39. 8
  40. 392

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