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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 703 · 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).

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  1. 1.7 : 15 = 35 : ?
  2. 2.Divide ₹177 between Zoya and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  4. 4.Divide ₹490 between Ananya and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  6. 6.Divide ₹364 between Ananya and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  7. 7.Divide ₹91 between Diya and Meera in the ratio 6 : 1. How much does Diya get (in ₹)?
  8. 8.Divide ₹418 between Tara and Vivaan in the ratio 6 : 5. How much does Tara get (in ₹)?
  9. 9.Divide ₹210 between Manav and Farhan in the ratio 8 : 7. How much does Manav get (in ₹)?
  10. 10.Divide ₹112 between Tara and Dev in the ratio 7 : 1. How much does Tara get (in ₹)?
  11. 11.Divide ₹180 between Tara and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  12. 12.11 : 3 = 44 : ?
  13. 13.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  17. 17.8 : 2 = 56 : ?
  18. 18.Divide ₹585 between Aarav and Vivaan in the ratio 7 : 8. How much does Aarav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  20. 20.Divide ₹250 between Ananya and Vivaan in the ratio 7 : 3. How much does Ananya get (in ₹)?
  21. 21.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  22. 22.11 : 15 = 99 : ?
  23. 23.8 : 2 = 64 : ?
  24. 24.8 : 7 = 72 : ?
  25. 25.6 : 13 = 48 : ?
  26. 26.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  27. 27.Divide ₹81 between Farhan and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  29. 29.8 : 5 = 56 : ?
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  31. 31.5 : 7 = 25 : ?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.Divide ₹559 between Nisha and Vivaan in the ratio 9 : 4. How much does Nisha get (in ₹)?
  34. 34.Divide ₹387 between Ishaan and Zoya in the ratio 1 : 8. How much does Zoya get (in ₹)?
  35. 35.Divide ₹234 between Rahul and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?
  36. 36.12 : 8 = 24 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  39. 39.2 : 7 = 18 : ?
  40. 40.2 : 11 = 6 : ?

Answer key

  1. 75
  2. 59
  3. 16
  4. 343
  5. 6
  6. 208
  7. 78
  8. 228
  9. 112
  10. 98
  11. 84
  12. 12
  13. 8
  14. 9
  15. 6
  16. 9
  17. 14
  18. 273
  19. 2
  20. 175
  21. 36
  22. 135
  23. 16
  24. 63
  25. 104
  26. 56
  27. 27
  28. 28
  29. 35
  30. 10
  31. 35
  32. 80
  33. 387
  34. 344
  35. 52
  36. 16
  37. 72
  38. 27
  39. 63
  40. 33

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