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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 853 · 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. 1.2 : 8 = 12 : ?
  2. 2.Divide ₹54 between Aarav and Zoya in the ratio 5 : 1. How much does Aarav get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.4 : 11 = 28 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  7. 7.Divide ₹55 between Rohan and Sneha in the ratio 1 : 4. How much does Rohan get (in ₹)?
  8. 8.Divide ₹176 between Dev and Diya in the ratio 9 : 7. How much does Diya get (in ₹)?
  9. 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.Divide ₹78 between Rohan and Dev in the ratio 5 : 1. How much does Rohan get (in ₹)?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.Divide ₹24 between Rohan and Dev in the ratio 3 : 1. How much does Dev get (in ₹)?
  15. 15.Divide ₹48 between Aarav and Ananya in the ratio 3 : 5. How much does Aarav get (in ₹)?
  16. 16.Divide ₹215 between Karan and Pooja in the ratio 1 : 4. How much does Pooja get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  18. 18.Divide ₹156 between Priya and Meera in the ratio 1 : 2. How much does Priya get (in ₹)?
  19. 19.2 : 11 = 10 : ?
  20. 20.Divide ₹100 between Isha and Pooja in the ratio 3 : 7. How much does Isha get (in ₹)?
  21. 21.Divide ₹56 between Aarav and Kabir in the ratio 7 : 1. How much does Kabir get (in ₹)?
  22. 22.Divide ₹396 between Aditya and Ananya in the ratio 4 : 7. How much does Aditya get (in ₹)?
  23. 23.Divide ₹177 between Farhan and Meera in the ratio 1 : 2. How much does Farhan get (in ₹)?
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.Divide ₹520 between Rahul and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  26. 26.7 : 11 = 49 : ?
  27. 27.2 : 13 = 8 : ?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.Divide ₹65 between Farhan and Tara in the ratio 3 : 2. How much does Farhan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  31. 31.Divide ₹676 between Saanvi and Ananya in the ratio 8 : 5. How much does Ananya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  33. 33.12 : 9 = 48 : ?
  34. 34.3 : 15 = 15 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  37. 37.11 : 4 = 22 : ?
  38. 38.Divide ₹90 between Ishaan and Manav in the ratio 4 : 1. How much does Manav get (in ₹)?
  39. 39.4 : 12 = 20 : ?
  40. 40.4 : 3 = 32 : ?

Answer key

  1. 48
  2. 45
  3. 3
  4. 18
  5. 77
  6. 25
  7. 11
  8. 77
  9. 28
  10. 32
  11. 65
  12. 45
  13. 63
  14. 6
  15. 18
  16. 172
  17. 20
  18. 52
  19. 55
  20. 30
  21. 7
  22. 144
  23. 59
  24. 150
  25. 468
  26. 77
  27. 52
  28. 48
  29. 39
  30. 50
  31. 260
  32. 45
  33. 36
  34. 75
  35. 63
  36. 40
  37. 8
  38. 18
  39. 60
  40. 24

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