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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 836 · 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.Divide ₹220 between Meera and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  4. 4.Divide ₹208 between Dev and Sneha in the ratio 6 : 7. How much does Sneha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  6. 6.Divide ₹442 between Kabir and Aditya in the ratio 7 : 6. How much does Kabir get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  9. 9.12 : 3 = 84 : ?
  10. 10.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  11. 11.Divide ₹297 between Nisha and Kavya in the ratio 7 : 2. How much does Kavya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  13. 13.5 : 14 = 10 : ?
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  18. 18.5 : 13 = 10 : ?
  19. 19.8 : 2 = 56 : ?
  20. 20.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  21. 21.Divide ₹128 between Saanvi and Diya in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  22. 22.2 : 6 = 10 : ?
  23. 23.10 : 3 = 30 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  25. 25.7 : 10 = 56 : ?
  26. 26.11 : 13 = 99 : ?
  27. 27.Divide ₹120 between Isha and Dev in the ratio 2 : 3. How much does Isha get (in ₹)?
  28. 28.Divide ₹506 between Dev and Sneha in the ratio 7 : 4. How much does Dev get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  31. 31.Divide ₹440 between Meera and Tara in the ratio 6 : 5. How much does Tara get (in ₹)?
  32. 32.Divide ₹472 between Isha and Kabir in the ratio 1 : 7. How much does Kabir get (in ₹)?
  33. 33.Divide ₹390 between Aarav and Tara in the ratio 5 : 8. How much does Tara get (in ₹)?
  34. 34.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  35. 35.Divide ₹90 between Rahul and Diya in the ratio 2 : 3. How much does Rahul get (in ₹)?
  36. 36.12 : 5 = 72 : ?
  37. 37.4 : 5 = 36 : ?
  38. 38.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  39. 39.Divide ₹295 between Manav and Karan in the ratio 3 : 2. How much does Manav get (in ₹)?
  40. 40.6 : 4 = 36 : ?

Answer key

  1. 55
  2. 18
  3. 64
  4. 112
  5. 36
  6. 238
  7. 12
  8. 81
  9. 21
  10. 32
  11. 66
  12. 50
  13. 28
  14. 50
  15. 28
  16. 4
  17. 45
  18. 26
  19. 14
  20. 10
  21. 32
  22. 30
  23. 9
  24. 10
  25. 80
  26. 117
  27. 48
  28. 322
  29. 8
  30. 8
  31. 200
  32. 413
  33. 240
  34. 20
  35. 36
  36. 30
  37. 45
  38. 75
  39. 177
  40. 24

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