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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 499 · 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.Divide ₹735 between Dev and Ishaan in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  3. 3.4 : 10 = 32 : ?
  4. 4.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.Divide ₹45 between Farhan and Arjun in the ratio 3 : 2. How much does Farhan get (in ₹)?
  8. 8.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  9. 9.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  10. 10.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  11. 11.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹242 between Farhan and Diya in the ratio 5 : 6. How much does Diya get (in ₹)?
  14. 14.11 : 15 = 22 : ?
  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 1 : 3. There are 8 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  18. 18.7 : 2 = 35 : ?
  19. 19.Divide ₹77 between Karan and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  22. 22.Divide ₹111 between Aarav and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  24. 24.Divide ₹315 between Kavya and Diya in the ratio 6 : 1. How much does Kavya get (in ₹)?
  25. 25.6 : 14 = 36 : ?
  26. 26.2 : 13 = 8 : ?
  27. 27.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  29. 29.Divide ₹60 between Dev and Kabir in the ratio 1 : 3. How much does Dev get (in ₹)?
  30. 30.Divide ₹423 between Ananya and Dev in the ratio 5 : 4. How much does Dev get (in ₹)?
  31. 31.Divide ₹144 between Saanvi and Aditya in the ratio 2 : 7. How much does Aditya get (in ₹)?
  32. 32.4 : 10 = 16 : ?
  33. 33.Divide ₹352 between Ishaan and Isha in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  34. 34.Divide ₹295 between Meera and Dev in the ratio 3 : 2. How much does Meera get (in ₹)?
  35. 35.3 : 12 = 12 : ?
  36. 36.Divide ₹590 between Kabir and Zoya in the ratio 7 : 3. How much does Kabir get (in ₹)?
  37. 37.6 : 7 = 30 : ?
  38. 38.2 : 3 = 16 : ?
  39. 39.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?

Answer key

  1. 392
  2. 50
  3. 80
  4. 30
  5. 81
  6. 18
  7. 27
  8. 20
  9. 63
  10. 80
  11. 8
  12. 150
  13. 132
  14. 30
  15. 75
  16. 24
  17. 56
  18. 10
  19. 49
  20. 100
  21. 112
  22. 74
  23. 16
  24. 270
  25. 84
  26. 52
  27. 25
  28. 36
  29. 15
  30. 188
  31. 112
  32. 40
  33. 64
  34. 177
  35. 48
  36. 413
  37. 35
  38. 24
  39. 8
  40. 18

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