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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 673 · 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 ₹190 between Isha and Tara in the ratio 1 : 9. How much does Tara get (in ₹)?
  2. 2.10 : 8 = 30 : ?
  3. 3.3 : 8 = 15 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  5. 5.Divide ₹192 between Ananya and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  6. 6.Divide ₹480 between Rahul and Aarav in the ratio 5 : 3. How much does Rahul get (in ₹)?
  7. 7.Divide ₹410 between Dev and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  10. 10.9 : 2 = 36 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  12. 12.Divide ₹672 between Rohan and Diya in the ratio 7 : 9. How much does Rohan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  14. 14.Divide ₹342 between Saanvi and Ishaan in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  15. 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  16. 16.Divide ₹39 between Pooja and Sneha in the ratio 1 : 2. How much does Sneha get (in ₹)?
  17. 17.Divide ₹88 between Rahul and Nisha in the ratio 9 : 2. How much does Rahul get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  19. 19.Divide ₹184 between Meera and Karan in the ratio 5 : 3. How much does Meera get (in ₹)?
  20. 20.11 : 15 = 77 : ?
  21. 21.4 : 13 = 20 : ?
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.Divide ₹100 between Aditya and Dev in the ratio 7 : 3. How much does Aditya get (in ₹)?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.2 : 11 = 18 : ?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  28. 28.2 : 4 = 12 : ?
  29. 29.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  30. 30.12 : 14 = 60 : ?
  31. 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  32. 32.3 : 4 = 15 : ?
  33. 33.9 : 5 = 72 : ?
  34. 34.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  38. 38.Divide ₹264 between Saanvi and Kavya in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  40. 40.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).

Answer key

  1. 171
  2. 24
  3. 40
  4. 28
  5. 32
  6. 300
  7. 123
  8. 48
  9. 70
  10. 8
  11. 15
  12. 294
  13. 12
  14. 266
  15. 8
  16. 26
  17. 72
  18. 16
  19. 115
  20. 105
  21. 65
  22. 54
  23. 100
  24. 70
  25. 32
  26. 99
  27. 10
  28. 24
  29. 18
  30. 70
  31. 16
  32. 20
  33. 40
  34. 45
  35. 9
  36. 16
  37. 144
  38. 220
  39. 45
  40. 80

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