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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 545 · 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 7 : 5. There are 14 boys. How many girls are there?
  2. 2.5 : 15 = 35 : ?
  3. 3.Divide ₹84 between Rohan and Rahul in the ratio 5 : 1. How much does Rahul get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  7. 7.3 : 11 = 27 : ?
  8. 8.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  9. 9.Divide ₹180 between Aditya and Saanvi in the ratio 1 : 4. How much does Aditya get (in ₹)?
  10. 10.Divide ₹561 between Priya and Aarav in the ratio 5 : 6. How much does Priya get (in ₹)?
  11. 11.3 : 9 = 12 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  13. 13.Divide ₹405 between Saanvi and Meera in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.12 : 7 = 84 : ?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  18. 18.Divide ₹420 between Nisha and Ishaan in the ratio 8 : 7. How much does Nisha get (in ₹)?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  21. 21.8 : 10 = 32 : ?
  22. 22.5 : 13 = 15 : ?
  23. 23.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  24. 24.Divide ₹360 between Aarav and Priya in the ratio 4 : 5. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  29. 29.8 : 12 = 72 : ?
  30. 30.Divide ₹153 between Priya and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  31. 31.12 : 6 = 96 : ?
  32. 32.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  34. 34.11 : 14 = 44 : ?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.Divide ₹231 between Meera and Sneha in the ratio 4 : 3. How much does Meera get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  40. 40.Divide ₹133 between Priya and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?

Answer key

  1. 10
  2. 105
  3. 14
  4. 6
  5. 50
  6. 100
  7. 99
  8. 20
  9. 36
  10. 255
  11. 36
  12. 14
  13. 315
  14. 63
  15. 49
  16. 81
  17. 28
  18. 224
  19. 16
  20. 6
  21. 40
  22. 39
  23. 36
  24. 160
  25. 32
  26. 7
  27. 24
  28. 24
  29. 108
  30. 119
  31. 48
  32. 144
  33. 81
  34. 56
  35. 48
  36. 132
  37. 32
  38. 36
  39. 72
  40. 57

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