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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 764 · 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 9 and 18 (that is, 9 : 18 = 18 : ?).
  2. 2.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  3. 3.Divide ₹380 between Dev and Kabir in the ratio 1 : 9. How much does Dev get (in ₹)?
  4. 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  6. 6.4 : 6 = 12 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.Divide ₹168 between Kavya and Nisha in the ratio 4 : 3. How much does Nisha get (in ₹)?
  10. 10.Divide ₹308 between Isha and Saanvi in the ratio 9 : 2. How much does Isha get (in ₹)?
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.2 : 4 = 4 : ?
  13. 13.7 : 3 = 21 : ?
  14. 14.Divide ₹120 between Tara and Zoya in the ratio 8 : 7. How much does Tara get (in ₹)?
  15. 15.10 : 5 = 80 : ?
  16. 16.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  17. 17.Divide ₹384 between Farhan and Meera in the ratio 3 : 5. How much does Meera get (in ₹)?
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.8 : 11 = 56 : ?
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.9 : 6 = 54 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  23. 23.Divide ₹522 between Ishaan and Nisha in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  24. 24.Divide ₹64 between Meera and Rohan in the ratio 5 : 3. How much does Meera get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  28. 28.Divide ₹48 between Kabir and Dev in the ratio 5 : 1. How much does Kabir get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  32. 32.9 : 5 = 54 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  35. 35.Divide ₹342 between Karan and Farhan in the ratio 2 : 7. How much does Farhan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  37. 37.3 : 12 = 9 : ?
  38. 38.8 : 2 = 32 : ?
  39. 39.Divide ₹336 between Tara and Ishaan in the ratio 5 : 1. How much does Tara get (in ₹)?
  40. 40.Divide ₹240 between Ishaan and Manav in the ratio 7 : 8. How much does Manav get (in ₹)?

Answer key

  1. 36
  2. 32
  3. 38
  4. 32
  5. 8
  6. 18
  7. 8
  8. 125
  9. 72
  10. 252
  11. 50
  12. 8
  13. 9
  14. 64
  15. 40
  16. 75
  17. 240
  18. 18
  19. 77
  20. 12
  21. 36
  22. 12
  23. 58
  24. 40
  25. 10
  26. 8
  27. 54
  28. 40
  29. 7
  30. 20
  31. 144
  32. 30
  33. 32
  34. 40
  35. 266
  36. 14
  37. 36
  38. 8
  39. 280
  40. 128

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