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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 71 · 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.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  5. 5.Divide ₹550 between Isha and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  7. 7.12 : 14 = 72 : ?
  8. 8.12 : 15 = 72 : ?
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.Divide ₹336 between Rohan and Saanvi in the ratio 6 : 1. How much does Rohan get (in ₹)?
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.Divide ₹198 between Kabir and Farhan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  13. 13.Divide ₹112 between Vivaan and Meera in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.Divide ₹484 between Sneha and Priya in the ratio 2 : 9. How much does Priya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Divide ₹72 between Rahul and Karan in the ratio 8 : 1. How much does Karan get (in ₹)?
  21. 21.9 : 12 = 63 : ?
  22. 22.Divide ₹51 between Kabir and Saanvi in the ratio 1 : 2. How much does Kabir get (in ₹)?
  23. 23.3 : 9 = 21 : ?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  26. 26.12 : 6 = 108 : ?
  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.Divide ₹540 between Kavya and Karan in the ratio 7 : 8. How much does Kavya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  30. 30.5 : 6 = 35 : ?
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.2 : 15 = 8 : ?
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.9 : 3 = 18 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  37. 37.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  38. 38.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  39. 39.Divide ₹245 between Dev and Rahul in the ratio 1 : 6. How much does Rahul get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?

Answer key

  1. 27
  2. 10
  3. 4
  4. 200
  5. 450
  6. 56
  7. 84
  8. 90
  9. 27
  10. 288
  11. 50
  12. 108
  13. 98
  14. 48
  15. 20
  16. 396
  17. 5
  18. 24
  19. 8
  20. 8
  21. 84
  22. 17
  23. 63
  24. 16
  25. 81
  26. 54
  27. 18
  28. 252
  29. 27
  30. 42
  31. 32
  32. 12
  33. 60
  34. 81
  35. 6
  36. 14
  37. 175
  38. 150
  39. 210
  40. 10

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