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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 43 · 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 ₹126 between Nisha and Kabir in the ratio 6 : 1. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  5. 5.Divide ₹234 between Ananya and Aditya in the ratio 9 : 4. How much does Aditya get (in ₹)?
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.12 : 3 = 108 : ?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.8 : 11 = 64 : ?
  10. 10.Divide ₹570 between Meera and Ishaan in the ratio 9 : 1. How much does Meera get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  12. 12.3 : 14 = 9 : ?
  13. 13.8 : 9 = 40 : ?
  14. 14.Divide ₹192 between Rohan and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  17. 17.3 : 2 = 9 : ?
  18. 18.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  19. 19.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  20. 20.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.4 : 3 = 16 : ?
  23. 23.Divide ₹392 between Isha and Priya in the ratio 3 : 4. How much does Isha get (in ₹)?
  24. 24.9 : 4 = 18 : ?
  25. 25.Divide ₹75 between Ishaan and Karan in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.Divide ₹80 between Ishaan and Pooja in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  33. 33.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  34. 34.Divide ₹70 between Priya and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  37. 37.Divide ₹56 between Kavya and Diya in the ratio 2 : 5. How much does Diya get (in ₹)?
  38. 38.2 : 6 = 14 : ?
  39. 39.3 : 11 = 21 : ?
  40. 40.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).

Answer key

  1. 18
  2. 6
  3. 24
  4. 36
  5. 72
  6. 80
  7. 27
  8. 18
  9. 88
  10. 513
  11. 90
  12. 42
  13. 45
  14. 160
  15. 7
  16. 50
  17. 6
  18. 63
  19. 40
  20. 225
  21. 8
  22. 12
  23. 168
  24. 8
  25. 50
  26. 20
  27. 24
  28. 32
  29. 64
  30. 2
  31. 128
  32. 20
  33. 81
  34. 40
  35. 64
  36. 30
  37. 40
  38. 42
  39. 77
  40. 32

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