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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 396 · 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. 1.7 : 9 = 21 : ?
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.4 : 10 = 28 : ?
  4. 4.5 : 9 = 45 : ?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  7. 7.8 : 13 = 72 : ?
  8. 8.9 : 13 = 18 : ?
  9. 9.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  10. 10.9 : 12 = 72 : ?
  11. 11.4 : 2 = 36 : ?
  12. 12.11 : 5 = 55 : ?
  13. 13.2 : 14 = 8 : ?
  14. 14.4 : 5 = 12 : ?
  15. 15.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  17. 17.Divide ₹351 between Ananya and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  18. 18.Divide ₹144 between Ananya and Manav in the ratio 2 : 7. How much does Ananya get (in ₹)?
  19. 19.Divide ₹260 between Aarav and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  20. 20.8 : 11 = 48 : ?
  21. 21.Divide ₹216 between Kavya and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  22. 22.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  23. 23.2 : 5 = 8 : ?
  24. 24.Divide ₹60 between Dev and Pooja in the ratio 7 : 5. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  26. 26.Divide ₹78 between Ananya and Arjun in the ratio 4 : 9. How much does Ananya get (in ₹)?
  27. 27.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  28. 28.5 : 8 = 30 : ?
  29. 29.Divide ₹203 between Priya and Karan in the ratio 2 : 5. How much does Priya get (in ₹)?
  30. 30.Divide ₹220 between Isha and Rahul in the ratio 3 : 2. How much does Isha get (in ₹)?
  31. 31.Divide ₹288 between Rohan and Aarav in the ratio 7 : 2. How much does Rohan get (in ₹)?
  32. 32.8 : 15 = 56 : ?
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  35. 35.Divide ₹352 between Kavya and Diya in the ratio 3 : 8. How much does Kavya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  37. 37.9 : 11 = 63 : ?
  38. 38.12 : 7 = 96 : ?
  39. 39.9 : 13 = 72 : ?
  40. 40.Divide ₹442 between Aarav and Arjun in the ratio 5 : 8. How much does Aarav get (in ₹)?

Answer key

  1. 27
  2. 32
  3. 70
  4. 81
  5. 36
  6. 49
  7. 117
  8. 26
  9. 72
  10. 96
  11. 18
  12. 25
  13. 56
  14. 15
  15. 27
  16. 80
  17. 273
  18. 32
  19. 26
  20. 66
  21. 24
  22. 63
  23. 20
  24. 25
  25. 56
  26. 24
  27. 144
  28. 48
  29. 58
  30. 132
  31. 224
  32. 105
  33. 125
  34. 8
  35. 96
  36. 16
  37. 77
  38. 56
  39. 104
  40. 170

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