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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 573 · 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. 1.11 : 4 = 66 : ?
  2. 2.Divide ₹64 between Zoya and Karan in the ratio 5 : 3. How much does Karan get (in ₹)?
  3. 3.Divide ₹195 between Pooja and Meera in the ratio 8 : 5. How much does Meera get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  7. 7.12 : 3 = 24 : ?
  8. 8.9 : 12 = 54 : ?
  9. 9.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  12. 12.Divide ₹295 between Rahul and Aarav in the ratio 4 : 1. How much does Rahul get (in ₹)?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.Divide ₹605 between Ananya and Rohan in the ratio 2 : 9. How much does Rohan get (in ₹)?
  15. 15.Divide ₹100 between Aditya and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?
  16. 16.Divide ₹88 between Isha and Sneha in the ratio 1 : 7. How much does Isha get (in ₹)?
  17. 17.8 : 12 = 72 : ?
  18. 18.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  19. 19.7 : 14 = 28 : ?
  20. 20.Divide ₹175 between Rahul and Rohan in the ratio 6 : 1. How much does Rahul get (in ₹)?
  21. 21.Divide ₹728 between Karan and Kavya in the ratio 7 : 6. How much does Kavya get (in ₹)?
  22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  23. 23.Divide ₹552 between Diya and Dev in the ratio 5 : 7. How much does Diya get (in ₹)?
  24. 24.8 : 13 = 16 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  26. 26.4 : 3 = 16 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  30. 30.Divide ₹470 between Dev and Aditya in the ratio 9 : 1. How much does Dev get (in ₹)?
  31. 31.10 : 6 = 60 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  33. 33.6 : 3 = 18 : ?
  34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  35. 35.Divide ₹344 between Tara and Zoya in the ratio 3 : 5. How much does Zoya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.11 : 10 = 77 : ?
  39. 39.Divide ₹370 between Vivaan and Ananya in the ratio 3 : 7. How much does Vivaan get (in ₹)?
  40. 40.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).

Answer key

  1. 24
  2. 24
  3. 75
  4. 7
  5. 20
  6. 50
  7. 6
  8. 72
  9. 6
  10. 56
  11. 12
  12. 236
  13. 63
  14. 495
  15. 75
  16. 11
  17. 108
  18. 63
  19. 56
  20. 150
  21. 336
  22. 128
  23. 230
  24. 26
  25. 50
  26. 12
  27. 16
  28. 48
  29. 8
  30. 423
  31. 36
  32. 4
  33. 9
  34. 28
  35. 215
  36. 10
  37. 24
  38. 70
  39. 111
  40. 144

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