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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 930 · 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.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  2. 2.Divide ₹180 between Arjun and Tara in the ratio 1 : 9. How much does Arjun get (in ₹)?
  3. 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  7. 7.Divide ₹451 between Farhan and Sneha in the ratio 8 : 3. How much does Farhan get (in ₹)?
  8. 8.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.5 : 2 = 35 : ?
  11. 11.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  12. 12.Divide ₹126 between Manav and Nisha in the ratio 5 : 9. How much does Nisha get (in ₹)?
  13. 13.5 : 14 = 40 : ?
  14. 14.2 : 15 = 18 : ?
  15. 15.Divide ₹392 between Pooja and Dev in the ratio 5 : 9. How much does Pooja get (in ₹)?
  16. 16.Divide ₹455 between Nisha and Saanvi in the ratio 4 : 9. How much does Saanvi get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  18. 18.12 : 14 = 72 : ?
  19. 19.8 : 14 = 56 : ?
  20. 20.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  21. 21.Divide ₹148 between Aditya and Kabir in the ratio 3 : 1. How much does Aditya get (in ₹)?
  22. 22.Divide ₹177 between Aarav and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  24. 24.Divide ₹464 between Karan and Zoya in the ratio 3 : 5. How much does Karan get (in ₹)?
  25. 25.3 : 14 = 18 : ?
  26. 26.2 : 9 = 4 : ?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.10 : 15 = 60 : ?
  29. 29.Divide ₹459 between Nisha and Meera in the ratio 1 : 8. How much does Nisha get (in ₹)?
  30. 30.8 : 11 = 64 : ?
  31. 31.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  36. 36.Divide ₹234 between Rahul and Zoya in the ratio 9 : 4. How much does Zoya get (in ₹)?
  37. 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  38. 38.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  40. 40.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).

Answer key

  1. 24
  2. 18
  3. 16
  4. 72
  5. 49
  6. 24
  7. 328
  8. 150
  9. 18
  10. 14
  11. 100
  12. 81
  13. 112
  14. 135
  15. 140
  16. 315
  17. 45
  18. 84
  19. 98
  20. 64
  21. 111
  22. 118
  23. 12
  24. 174
  25. 84
  26. 18
  27. 112
  28. 90
  29. 51
  30. 88
  31. 175
  32. 27
  33. 14
  34. 18
  35. 4
  36. 72
  37. 28
  38. 48
  39. 24
  40. 36

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