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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 175 · 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 ₹198 between Kavya and Rohan in the ratio 9 : 2. How much does Rohan get (in ₹)?
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.Divide ₹40 between Ananya and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  4. 4.9 : 10 = 81 : ?
  5. 5.Divide ₹216 between Aditya and Zoya in the ratio 1 : 8. How much does Zoya get (in ₹)?
  6. 6.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  7. 7.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  8. 8.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  10. 10.9 : 6 = 36 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  14. 14.Divide ₹663 between Ananya and Diya in the ratio 6 : 7. How much does Ananya get (in ₹)?
  15. 15.6 : 15 = 12 : ?
  16. 16.Divide ₹176 between Tara and Kabir in the ratio 5 : 6. How much does Tara get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.Divide ₹986 between Farhan and Aditya in the ratio 8 : 9. How much does Aditya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.Divide ₹351 between Nisha and Ananya in the ratio 5 : 8. How much does Nisha get (in ₹)?
  25. 25.4 : 8 = 32 : ?
  26. 26.7 : 13 = 28 : ?
  27. 27.Divide ₹96 between Rohan and Tara in the ratio 7 : 9. How much does Rohan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  29. 29.11 : 12 = 55 : ?
  30. 30.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  31. 31.Divide ₹66 between Manav and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  32. 32.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  33. 33.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  34. 34.4 : 12 = 20 : ?
  35. 35.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  36. 36.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  37. 37.Divide ₹231 between Kabir and Rohan in the ratio 4 : 3. How much does Kabir get (in ₹)?
  38. 38.5 : 2 = 30 : ?
  39. 39.Divide ₹390 between Aarav and Dev in the ratio 7 : 6. How much does Dev get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?

Answer key

  1. 36
  2. 112
  3. 15
  4. 90
  5. 192
  6. 81
  7. 36
  8. 80
  9. 45
  10. 24
  11. 60
  12. 2
  13. 72
  14. 306
  15. 30
  16. 80
  17. 27
  18. 36
  19. 100
  20. 522
  21. 12
  22. 80
  23. 12
  24. 135
  25. 64
  26. 52
  27. 42
  28. 72
  29. 60
  30. 3
  31. 42
  32. 32
  33. 64
  34. 60
  35. 54
  36. 20
  37. 132
  38. 12
  39. 180
  40. 14

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