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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 522 · 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 ₹100 between Kavya and Rohan in the ratio 3 : 7. How much does Rohan get (in ₹)?
  2. 2.Divide ₹420 between Arjun and Saanvi in the ratio 7 : 8. How much does Arjun get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  5. 5.Divide ₹108 between Aarav and Kabir in the ratio 5 : 4. How much does Aarav get (in ₹)?
  6. 6.Divide ₹119 between Zoya and Kavya in the ratio 2 : 5. How much does Kavya get (in ₹)?
  7. 7.Divide ₹525 between Kabir and Diya in the ratio 8 : 7. How much does Kabir get (in ₹)?
  8. 8.12 : 4 = 108 : ?
  9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  10. 10.4 : 11 = 12 : ?
  11. 11.Divide ₹810 between Rohan and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  12. 12.8 : 4 = 40 : ?
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  17. 17.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  18. 18.10 : 9 = 70 : ?
  19. 19.5 : 7 = 25 : ?
  20. 20.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  21. 21.2 : 3 = 10 : ?
  22. 22.8 : 15 = 16 : ?
  23. 23.Divide ₹220 between Pooja and Manav in the ratio 7 : 3. How much does Manav get (in ₹)?
  24. 24.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  25. 25.Divide ₹342 between Ananya and Tara in the ratio 4 : 5. How much does Ananya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  30. 30.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  31. 31.Divide ₹531 between Kavya and Rohan in the ratio 8 : 1. How much does Rohan get (in ₹)?
  32. 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  33. 33.Divide ₹400 between Kabir and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
  34. 34.Divide ₹110 between Ishaan and Dev in the ratio 1 : 9. How much does Dev get (in ₹)?
  35. 35.Divide ₹224 between Saanvi and Zoya in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  37. 37.2 : 6 = 12 : ?
  38. 38.Divide ₹250 between Aditya and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  40. 40.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).

Answer key

  1. 70
  2. 196
  3. 25
  4. 56
  5. 60
  6. 85
  7. 280
  8. 36
  9. 24
  10. 33
  11. 378
  12. 20
  13. 28
  14. 8
  15. 18
  16. 27
  17. 63
  18. 63
  19. 35
  20. 96
  21. 15
  22. 30
  23. 66
  24. 128
  25. 152
  26. 6
  27. 45
  28. 45
  29. 81
  30. 15
  31. 59
  32. 48
  33. 280
  34. 99
  35. 196
  36. 3
  37. 36
  38. 200
  39. 8
  40. 20

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