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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 405 · 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.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  4. 4.3 : 10 = 27 : ?
  5. 5.Divide ₹826 between Kavya and Manav in the ratio 5 : 9. How much does Kavya get (in ₹)?
  6. 6.6 : 15 = 12 : ?
  7. 7.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  8. 8.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  12. 12.Divide ₹200 between Dev and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
  13. 13.7 : 12 = 49 : ?
  14. 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  17. 17.11 : 2 = 55 : ?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  20. 20.Divide ₹490 between Vivaan and Meera in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  21. 21.Divide ₹432 between Aditya and Rohan in the ratio 3 : 5. How much does Aditya get (in ₹)?
  22. 22.2 : 6 = 12 : ?
  23. 23.Divide ₹663 between Aditya and Tara in the ratio 8 : 5. How much does Aditya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  25. 25.4 : 7 = 12 : ?
  26. 26.Divide ₹506 between Vivaan and Kabir in the ratio 8 : 3. How much does Vivaan get (in ₹)?
  27. 27.Divide ₹368 between Isha and Aarav in the ratio 1 : 7. How much does Isha get (in ₹)?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.12 : 5 = 96 : ?
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  32. 32.Divide ₹245 between Nisha and Farhan in the ratio 2 : 3. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.Divide ₹33 between Priya and Zoya in the ratio 1 : 2. How much does Priya get (in ₹)?
  35. 35.11 : 2 = 22 : ?
  36. 36.Divide ₹300 between Kabir and Zoya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.2 : 14 = 12 : ?

Answer key

  1. 72
  2. 20
  3. 24
  4. 90
  5. 295
  6. 30
  7. 144
  8. 28
  9. 50
  10. 32
  11. 150
  12. 60
  13. 84
  14. 45
  15. 36
  16. 81
  17. 10
  18. 96
  19. 32
  20. 441
  21. 162
  22. 36
  23. 408
  24. 42
  25. 21
  26. 368
  27. 46
  28. 20
  29. 40
  30. 18
  31. 16
  32. 147
  33. 48
  34. 11
  35. 4
  36. 60
  37. 27
  38. 27
  39. 112
  40. 84

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