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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 850 · 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 2 : 1. There are 16 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.Divide ₹600 between Priya and Vivaan in the ratio 7 : 3. How much does Vivaan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  6. 6.11 : 5 = 55 : ?
  7. 7.Divide ₹420 between Aarav and Diya in the ratio 5 : 9. How much does Aarav get (in ₹)?
  8. 8.Divide ₹273 between Priya and Saanvi in the ratio 6 : 1. How much does Saanvi get (in ₹)?
  9. 9.10 : 11 = 60 : ?
  10. 10.Divide ₹901 between Meera and Farhan in the ratio 9 : 8. How much does Meera get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  12. 12.4 : 3 = 20 : ?
  13. 13.5 : 15 = 45 : ?
  14. 14.11 : 9 = 55 : ?
  15. 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  17. 17.Divide ₹60 between Meera and Aditya in the ratio 4 : 1. How much does Meera get (in ₹)?
  18. 18.Divide ₹360 between Dev and Meera in the ratio 5 : 1. How much does Dev get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  22. 22.Divide ₹333 between Farhan and Meera in the ratio 5 : 4. How much does Meera get (in ₹)?
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.Divide ₹99 between Rohan and Priya in the ratio 4 : 5. How much does Priya get (in ₹)?
  25. 25.11 : 3 = 22 : ?
  26. 26.8 : 11 = 32 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  28. 28.8 : 14 = 32 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.Divide ₹240 between Nisha and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  32. 32.Divide ₹550 between Dev and Aarav in the ratio 4 : 7. How much does Dev get (in ₹)?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.Divide ₹90 between Zoya and Rahul in the ratio 2 : 3. How much does Zoya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  37. 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  38. 38.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  39. 39.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  40. 40.Divide ₹460 between Karan and Arjun in the ratio 3 : 7. How much does Karan get (in ₹)?

Answer key

  1. 8
  2. 20
  3. 48
  4. 180
  5. 35
  6. 25
  7. 150
  8. 39
  9. 66
  10. 477
  11. 24
  12. 15
  13. 135
  14. 45
  15. 50
  16. 10
  17. 48
  18. 300
  19. 64
  20. 49
  21. 36
  22. 148
  23. 112
  24. 55
  25. 6
  26. 44
  27. 18
  28. 56
  29. 6
  30. 28
  31. 200
  32. 200
  33. 225
  34. 36
  35. 8
  36. 50
  37. 27
  38. 32
  39. 42
  40. 138

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