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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 531 · 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 ₹65 between Aarav and Dev in the ratio 1 : 4. How much does Aarav get (in ₹)?
  2. 2.2 : 11 = 6 : ?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.Divide ₹77 between Farhan and Aditya in the ratio 8 : 3. How much does Aditya get (in ₹)?
  5. 5.Divide ₹660 between Ananya and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
  6. 6.Divide ₹190 between Manav and Pooja in the ratio 1 : 4. How much does Pooja get (in ₹)?
  7. 7.Divide ₹212 between Priya and Farhan in the ratio 1 : 3. How much does Farhan get (in ₹)?
  8. 8.Divide ₹162 between Kavya and Ishaan in the ratio 1 : 5. How much does Kavya get (in ₹)?
  9. 9.Divide ₹80 between Karan and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  10. 10.Divide ₹357 between Kabir and Pooja in the ratio 3 : 4. How much does Pooja get (in ₹)?
  11. 11.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  12. 12.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  13. 13.10 : 4 = 40 : ?
  14. 14.11 : 15 = 44 : ?
  15. 15.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  16. 16.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  17. 17.Divide ₹242 between Kabir and Ishaan in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  18. 18.4 : 5 = 16 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.10 : 12 = 70 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  25. 25.Divide ₹608 between Kavya and Tara in the ratio 7 : 9. How much does Tara get (in ₹)?
  26. 26.Divide ₹507 between Arjun and Pooja in the ratio 5 : 8. How much does Pooja get (in ₹)?
  27. 27.2 : 7 = 12 : ?
  28. 28.Divide ₹440 between Ishaan and Karan in the ratio 9 : 1. How much does Ishaan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  30. 30.Divide ₹50 between Zoya and Sneha in the ratio 9 : 1. How much does Sneha get (in ₹)?
  31. 31.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  32. 32.8 : 5 = 32 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  34. 34.10 : 11 = 40 : ?
  35. 35.Divide ₹180 between Diya and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  36. 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  38. 38.2 : 13 = 4 : ?
  39. 39.Divide ₹110 between Rohan and Karan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  40. 40.Divide ₹90 between Farhan and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?

Answer key

  1. 13
  2. 33
  3. 50
  4. 21
  5. 120
  6. 152
  7. 159
  8. 27
  9. 16
  10. 204
  11. 32
  12. 18
  13. 16
  14. 60
  15. 27
  16. 10
  17. 110
  18. 20
  19. 45
  20. 48
  21. 75
  22. 84
  23. 45
  24. 4
  25. 342
  26. 312
  27. 42
  28. 396
  29. 40
  30. 5
  31. 54
  32. 20
  33. 36
  34. 44
  35. 60
  36. 32
  37. 8
  38. 26
  39. 40
  40. 9

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