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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 44 · 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 ₹85 between Saanvi and Diya in the ratio 1 : 4. How much does Diya get (in ₹)?
  2. 2.11 : 12 = 55 : ?
  3. 3.Divide ₹319 between Kabir and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  4. 4.4 : 15 = 24 : ?
  5. 5.2 : 14 = 12 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  7. 7.2 : 13 = 18 : ?
  8. 8.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  9. 9.Divide ₹400 between Ananya and Farhan in the ratio 5 : 3. How much does Ananya get (in ₹)?
  10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  11. 11.Divide ₹153 between Rohan and Tara in the ratio 8 : 1. How much does Rohan get (in ₹)?
  12. 12.10 : 2 = 90 : ?
  13. 13.10 : 9 = 80 : ?
  14. 14.Divide ₹168 between Arjun and Kavya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  15. 15.Divide ₹705 between Nisha and Zoya in the ratio 8 : 7. How much does Zoya get (in ₹)?
  16. 16.Divide ₹560 between Arjun and Karan in the ratio 9 : 1. How much does Karan get (in ₹)?
  17. 17.Divide ₹371 between Vivaan and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  18. 18.Divide ₹115 between Aarav and Nisha in the ratio 2 : 3. How much does Aarav get (in ₹)?
  19. 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  20. 20.4 : 13 = 32 : ?
  21. 21.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  22. 22.2 : 12 = 18 : ?
  23. 23.10 : 6 = 70 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  26. 26.Divide ₹480 between Priya and Saanvi in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  27. 27.Divide ₹407 between Zoya and Tara in the ratio 8 : 3. How much does Tara get (in ₹)?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.10 : 5 = 90 : ?
  30. 30.Divide ₹45 between Tara and Zoya in the ratio 2 : 1. How much does Zoya get (in ₹)?
  31. 31.11 : 2 = 77 : ?
  32. 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.Divide ₹338 between Kavya and Kabir in the ratio 6 : 7. How much does Kabir get (in ₹)?
  35. 35.Divide ₹33 between Dev and Aditya in the ratio 1 : 2. How much does Dev get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  38. 38.Divide ₹180 between Aditya and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  39. 39.Divide ₹209 between Aditya and Dev in the ratio 9 : 2. How much does Dev get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?

Answer key

  1. 68
  2. 60
  3. 145
  4. 90
  5. 84
  6. 90
  7. 117
  8. 150
  9. 250
  10. 175
  11. 136
  12. 18
  13. 72
  14. 96
  15. 329
  16. 56
  17. 53
  18. 46
  19. 200
  20. 104
  21. 56
  22. 108
  23. 42
  24. 8
  25. 18
  26. 48
  27. 111
  28. 20
  29. 45
  30. 15
  31. 14
  32. 48
  33. 27
  34. 182
  35. 11
  36. 2
  37. 4
  38. 105
  39. 38
  40. 16

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