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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 455 · 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 ₹196 between Manav and Rahul in the ratio 1 : 6. How much does Manav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  3. 3.Divide ₹84 between Meera and Pooja in the ratio 1 : 6. How much does Pooja get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  5. 5.3 : 13 = 18 : ?
  6. 6.7 : 11 = 21 : ?
  7. 7.Divide ₹182 between Arjun and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  10. 10.Divide ₹300 between Diya and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  11. 11.9 : 8 = 81 : ?
  12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  13. 13.5 : 9 = 45 : ?
  14. 14.11 : 5 = 55 : ?
  15. 15.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  16. 16.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  19. 19.Divide ₹215 between Rahul and Kabir in the ratio 2 : 3. How much does Rahul get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  24. 24.Divide ₹340 between Saanvi and Manav in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  25. 25.Divide ₹315 between Sneha and Zoya in the ratio 2 : 5. How much does Sneha get (in ₹)?
  26. 26.Divide ₹116 between Pooja and Tara in the ratio 3 : 1. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  28. 28.11 : 2 = 22 : ?
  29. 29.Divide ₹225 between Farhan and Karan in the ratio 1 : 4. How much does Farhan get (in ₹)?
  30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  31. 31.5 : 14 = 40 : ?
  32. 32.Divide ₹285 between Tara and Sneha in the ratio 3 : 2. How much does Tara get (in ₹)?
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.Divide ₹136 between Rahul and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  38. 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  39. 39.4 : 2 = 8 : ?
  40. 40.Divide ₹238 between Ishaan and Priya in the ratio 3 : 4. How much does Ishaan get (in ₹)?

Answer key

  1. 28
  2. 36
  3. 72
  4. 12
  5. 78
  6. 33
  7. 104
  8. 10
  9. 90
  10. 250
  11. 72
  12. 36
  13. 81
  14. 25
  15. 96
  16. 225
  17. 8
  18. 40
  19. 86
  20. 8
  21. 8
  22. 72
  23. 14
  24. 34
  25. 90
  26. 29
  27. 8
  28. 4
  29. 45
  30. 27
  31. 112
  32. 171
  33. 75
  34. 119
  35. 10
  36. 125
  37. 80
  38. 32
  39. 4
  40. 102

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