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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 341 · 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 ₹689 between Kabir and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  2. 2.Divide ₹175 between Aditya and Manav in the ratio 1 : 6. How much does Aditya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  4. 4.3 : 7 = 15 : ?
  5. 5.Divide ₹225 between Aarav and Dev in the ratio 2 : 3. How much does Aarav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  9. 9.Divide ₹741 between Rohan and Karan in the ratio 4 : 9. How much does Karan get (in ₹)?
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.Divide ₹279 between Arjun and Meera in the ratio 8 : 1. How much does Arjun get (in ₹)?
  12. 12.8 : 11 = 56 : ?
  13. 13.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  14. 14.Divide ₹234 between Sneha and Aarav in the ratio 8 : 1. How much does Sneha get (in ₹)?
  15. 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  16. 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  17. 17.Divide ₹168 between Meera and Kavya in the ratio 7 : 5. How much does Meera get (in ₹)?
  18. 18.Divide ₹459 between Arjun and Farhan in the ratio 4 : 5. How much does Arjun get (in ₹)?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.8 : 4 = 56 : ?
  21. 21.Divide ₹187 between Meera and Priya in the ratio 5 : 6. How much does Priya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  23. 23.Divide ₹312 between Karan and Aditya in the ratio 1 : 7. How much does Aditya get (in ₹)?
  24. 24.11 : 12 = 44 : ?
  25. 25.Divide ₹98 between Vivaan and Dev in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  26. 26.10 : 9 = 40 : ?
  27. 27.Divide ₹238 between Farhan and Aditya in the ratio 4 : 3. How much does Aditya get (in ₹)?
  28. 28.Divide ₹145 between Zoya and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?
  29. 29.11 : 3 = 22 : ?
  30. 30.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  31. 31.7 : 11 = 28 : ?
  32. 32.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  33. 33.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  34. 34.Divide ₹416 between Saanvi and Rohan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  35. 35.4 : 5 = 8 : ?
  36. 36.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  37. 37.10 : 3 = 40 : ?
  38. 38.Divide ₹315 between Dev and Meera in the ratio 8 : 1. How much does Dev get (in ₹)?
  39. 39.12 : 6 = 84 : ?
  40. 40.2 : 6 = 8 : ?

Answer key

  1. 265
  2. 25
  3. 24
  4. 35
  5. 90
  6. 21
  7. 80
  8. 21
  9. 513
  10. 64
  11. 248
  12. 77
  13. 175
  14. 208
  15. 50
  16. 54
  17. 98
  18. 204
  19. 16
  20. 28
  21. 102
  22. 56
  23. 273
  24. 48
  25. 14
  26. 36
  27. 102
  28. 29
  29. 6
  30. 48
  31. 44
  32. 27
  33. 15
  34. 234
  35. 10
  36. 8
  37. 12
  38. 280
  39. 42
  40. 24

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