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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 985 · 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.Divide ₹72 between Aditya and Pooja in the ratio 7 : 1. How much does Pooja get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  3. 3.3 : 2 = 6 : ?
  4. 4.Divide ₹119 between Rohan and Aditya in the ratio 2 : 5. How much does Aditya get (in ₹)?
  5. 5.9 : 11 = 72 : ?
  6. 6.Divide ₹364 between Dev and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.Divide ₹400 between Rohan and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
  11. 11.10 : 9 = 60 : ?
  12. 12.3 : 4 = 21 : ?
  13. 13.Divide ₹264 between Diya and Manav in the ratio 3 : 5. How much does Diya get (in ₹)?
  14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  15. 15.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  16. 16.Divide ₹63 between Pooja and Aarav in the ratio 8 : 1. How much does Pooja get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  18. 18.Divide ₹624 between Sneha and Manav in the ratio 9 : 7. How much does Sneha get (in ₹)?
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Divide ₹99 between Priya and Aarav in the ratio 1 : 2. How much does Priya get (in ₹)?
  21. 21.2 : 11 = 16 : ?
  22. 22.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  23. 23.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  26. 26.5 : 10 = 25 : ?
  27. 27.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  28. 28.Divide ₹88 between Dev and Aditya in the ratio 1 : 7. How much does Dev get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  30. 30.Divide ₹688 between Saanvi and Manav in the ratio 9 : 7. How much does Saanvi get (in ₹)?
  31. 31.8 : 7 = 32 : ?
  32. 32.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  33. 33.11 : 13 = 77 : ?
  34. 34.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  35. 35.Divide ₹160 between Meera and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  37. 37.Divide ₹50 between Zoya and Aditya in the ratio 9 : 1. How much does Zoya get (in ₹)?
  38. 38.Divide ₹272 between Rohan and Isha in the ratio 8 : 9. How much does Rohan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 9
  2. 12
  3. 4
  4. 85
  5. 88
  6. 52
  7. 54
  8. 3
  9. 18
  10. 40
  11. 54
  12. 28
  13. 99
  14. 27
  15. 15
  16. 56
  17. 4
  18. 351
  19. 8
  20. 33
  21. 88
  22. 72
  23. 15
  24. 18
  25. 49
  26. 50
  27. 72
  28. 11
  29. 63
  30. 387
  31. 28
  32. 16
  33. 91
  34. 81
  35. 100
  36. 6
  37. 45
  38. 128
  39. 21
  40. 36

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