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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 755 · 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.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  2. 2.Divide ₹225 between Rahul and Arjun in the ratio 7 : 8. How much does Rahul get (in ₹)?
  3. 3.11 : 3 = 22 : ?
  4. 4.7 : 2 = 35 : ?
  5. 5.12 : 3 = 84 : ?
  6. 6.12 : 14 = 24 : ?
  7. 7.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  9. 9.Divide ₹140 between Isha and Kavya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  10. 10.Divide ₹152 between Priya and Isha in the ratio 7 : 1. How much does Priya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  14. 14.5 : 7 = 10 : ?
  15. 15.12 : 3 = 60 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  18. 18.Divide ₹742 between Rohan and Manav in the ratio 9 : 5. How much does Manav get (in ₹)?
  19. 19.Divide ₹560 between Arjun and Isha in the ratio 1 : 9. How much does Arjun get (in ₹)?
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.2 : 15 = 12 : ?
  22. 22.Divide ₹170 between Rohan and Aarav in the ratio 9 : 1. How much does Rohan get (in ₹)?
  23. 23.Divide ₹96 between Arjun and Dev in the ratio 7 : 5. How much does Arjun get (in ₹)?
  24. 24.4 : 11 = 28 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  27. 27.5 : 4 = 35 : ?
  28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  29. 29.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  30. 30.Divide ₹176 between Zoya and Ananya in the ratio 8 : 3. How much does Ananya get (in ₹)?
  31. 31.Divide ₹168 between Saanvi and Priya in the ratio 4 : 3. How much does Priya get (in ₹)?
  32. 32.Divide ₹289 between Arjun and Nisha in the ratio 9 : 8. How much does Nisha get (in ₹)?
  33. 33.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.6 : 12 = 30 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  37. 37.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  38. 38.Divide ₹120 between Sneha and Aarav in the ratio 3 : 5. How much does Sneha get (in ₹)?
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.Divide ₹105 between Farhan and Arjun in the ratio 3 : 2. How much does Farhan get (in ₹)?

Answer key

  1. 18
  2. 105
  3. 6
  4. 10
  5. 21
  6. 28
  7. 8
  8. 30
  9. 80
  10. 133
  11. 21
  12. 175
  13. 125
  14. 14
  15. 15
  16. 50
  17. 100
  18. 265
  19. 56
  20. 112
  21. 90
  22. 153
  23. 56
  24. 77
  25. 4
  26. 45
  27. 28
  28. 63
  29. 20
  30. 48
  31. 72
  32. 136
  33. 150
  34. 16
  35. 60
  36. 56
  37. 12
  38. 45
  39. 18
  40. 63

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