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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 996 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹312 between Dev and Farhan in the ratio 4 : 9. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  5. 5.2 : 11 = 14 : ?
  6. 6.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  7. 7.9 : 3 = 36 : ?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.10 : 3 = 30 : ?
  10. 10.Divide ₹117 between Priya and Rohan in the ratio 7 : 2. How much does Priya get (in ₹)?
  11. 11.Divide ₹715 between Rohan and Aditya in the ratio 4 : 9. How much does Aditya get (in ₹)?
  12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  13. 13.9 : 3 = 18 : ?
  14. 14.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  16. 16.Divide ₹595 between Pooja and Diya in the ratio 9 : 8. How much does Pooja get (in ₹)?
  17. 17.12 : 5 = 24 : ?
  18. 18.Divide ₹54 between Isha and Karan in the ratio 4 : 5. How much does Karan get (in ₹)?
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.Divide ₹396 between Kabir and Tara in the ratio 5 : 4. How much does Tara get (in ₹)?
  22. 22.Divide ₹231 between Aditya and Meera in the ratio 5 : 2. How much does Aditya get (in ₹)?
  23. 23.4 : 7 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  27. 27.Divide ₹204 between Rohan and Ishaan in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  28. 28.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  29. 29.9 : 4 = 36 : ?
  30. 30.Divide ₹343 between Pooja and Aarav in the ratio 2 : 5. How much does Pooja get (in ₹)?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.11 : 6 = 55 : ?
  33. 33.6 : 7 = 12 : ?
  34. 34.4 : 9 = 16 : ?
  35. 35.Divide ₹238 between Farhan and Meera in the ratio 3 : 4. How much does Meera get (in ₹)?
  36. 36.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  37. 37.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  38. 38.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  39. 39.Divide ₹121 between Zoya and Dev in the ratio 2 : 9. How much does Zoya get (in ₹)?
  40. 40.Divide ₹176 between Vivaan and Tara in the ratio 7 : 1. How much does Vivaan get (in ₹)?

Answer key

  1. 96
  2. 50
  3. 70
  4. 8
  5. 77
  6. 128
  7. 12
  8. 12
  9. 9
  10. 91
  11. 495
  12. 28
  13. 6
  14. 56
  15. 3
  16. 315
  17. 10
  18. 30
  19. 18
  20. 36
  21. 176
  22. 165
  23. 35
  24. 2
  25. 32
  26. 8
  27. 85
  28. 45
  29. 16
  30. 98
  31. 100
  32. 30
  33. 14
  34. 36
  35. 136
  36. 144
  37. 64
  38. 27
  39. 22
  40. 154

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