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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 975 · 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 ₹45 between Kabir and Dev in the ratio 1 : 4. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.Divide ₹136 between Dev and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  6. 6.Divide ₹663 between Karan and Sneha in the ratio 8 : 5. How much does Sneha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  8. 8.5 : 15 = 15 : ?
  9. 9.3 : 4 = 9 : ?
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.Divide ₹192 between Ananya and Zoya in the ratio 1 : 5. How much does Zoya get (in ₹)?
  12. 12.Divide ₹481 between Diya and Vivaan in the ratio 7 : 6. How much does Diya get (in ₹)?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.2 : 7 = 18 : ?
  15. 15.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  16. 16.5 : 6 = 40 : ?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.2 : 6 = 14 : ?
  19. 19.3 : 7 = 21 : ?
  20. 20.11 : 15 = 66 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  24. 24.Divide ₹115 between Kavya and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  26. 26.4 : 7 = 24 : ?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  29. 29.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  30. 30.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  31. 31.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  32. 32.Divide ₹418 between Aditya and Kabir in the ratio 4 : 7. How much does Kabir get (in ₹)?
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.10 : 14 = 70 : ?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  37. 37.Divide ₹63 between Arjun and Tara in the ratio 2 : 1. How much does Arjun get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  39. 39.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?

Answer key

  1. 36
  2. 45
  3. 36
  4. 18
  5. 85
  6. 255
  7. 49
  8. 45
  9. 12
  10. 50
  11. 160
  12. 259
  13. 32
  14. 63
  15. 10
  16. 48
  17. 8
  18. 42
  19. 49
  20. 90
  21. 24
  22. 6
  23. 72
  24. 23
  25. 48
  26. 42
  27. 3
  28. 16
  29. 175
  30. 12
  31. 10
  32. 266
  33. 27
  34. 98
  35. 48
  36. 75
  37. 42
  38. 32
  39. 150
  40. 10

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