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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 746 · 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 : 3. There are 8 boys. How many girls are there?
  2. 2.7 : 4 = 28 : ?
  3. 3.Divide ₹84 between Rahul and Ishaan in the ratio 1 : 6. How much does Ishaan get (in ₹)?
  4. 4.Divide ₹330 between Nisha and Vivaan in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.Divide ₹585 between Sneha and Karan in the ratio 7 : 8. How much does Karan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  8. 8.Divide ₹470 between Saanvi and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  9. 9.4 : 7 = 32 : ?
  10. 10.10 : 4 = 40 : ?
  11. 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.8 : 3 = 56 : ?
  14. 14.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  15. 15.Divide ₹507 between Karan and Saanvi in the ratio 4 : 9. How much does Karan get (in ₹)?
  16. 16.Divide ₹33 between Aarav and Farhan in the ratio 1 : 2. How much does Aarav get (in ₹)?
  17. 17.6 : 4 = 24 : ?
  18. 18.9 : 8 = 54 : ?
  19. 19.8 : 9 = 32 : ?
  20. 20.Divide ₹451 between Rahul and Aarav in the ratio 7 : 4. How much does Rahul get (in ₹)?
  21. 21.Divide ₹410 between Rahul and Aarav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  23. 23.11 : 14 = 55 : ?
  24. 24.12 : 8 = 72 : ?
  25. 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  26. 26.Divide ₹120 between Manav and Aditya in the ratio 7 : 8. How much does Manav get (in ₹)?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  29. 29.Divide ₹91 between Manav and Meera in the ratio 8 : 5. How much does Manav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  34. 34.4 : 9 = 8 : ?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Divide ₹288 between Kabir and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  37. 37.6 : 14 = 48 : ?
  38. 38.3 : 5 = 21 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  40. 40.10 : 5 = 90 : ?

Answer key

  1. 12
  2. 16
  3. 72
  4. 270
  5. 64
  6. 312
  7. 12
  8. 329
  9. 56
  10. 16
  11. 175
  12. 27
  13. 21
  14. 96
  15. 156
  16. 11
  17. 16
  18. 48
  19. 36
  20. 287
  21. 287
  22. 9
  23. 70
  24. 48
  25. 128
  26. 56
  27. 32
  28. 18
  29. 56
  30. 49
  31. 2
  32. 20
  33. 10
  34. 18
  35. 36
  36. 162
  37. 112
  38. 35
  39. 40
  40. 45

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