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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 920 · 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 : 6 = 35 : ?
  2. 2.Divide ₹637 between Kavya and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
  3. 3.Divide ₹182 between Priya and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.3 : 5 = 27 : ?
  6. 6.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  7. 7.2 : 14 = 10 : ?
  8. 8.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  9. 9.3 : 4 = 6 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  11. 11.Divide ₹238 between Saanvi and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  13. 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  18. 18.8 : 10 = 48 : ?
  19. 19.Divide ₹87 between Aditya and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  20. 20.4 : 5 = 36 : ?
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.Divide ₹49 between Aarav and Karan in the ratio 2 : 5. How much does Aarav get (in ₹)?
  23. 23.4 : 14 = 36 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  25. 25.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  26. 26.Divide ₹442 between Aditya and Rohan in the ratio 8 : 9. How much does Aditya get (in ₹)?
  27. 27.8 : 2 = 40 : ?
  28. 28.Divide ₹352 between Nisha and Aditya in the ratio 1 : 7. How much does Nisha get (in ₹)?
  29. 29.2 : 14 = 6 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  32. 32.Divide ₹287 between Isha and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
  33. 33.Divide ₹115 between Ishaan and Meera in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  34. 34.Divide ₹616 between Karan and Dev in the ratio 4 : 7. How much does Karan get (in ₹)?
  35. 35.8 : 13 = 40 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  37. 37.Divide ₹672 between Isha and Pooja in the ratio 7 : 5. How much does Isha get (in ₹)?
  38. 38.9 : 5 = 36 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  40. 40.12 : 5 = 60 : ?

Answer key

  1. 30
  2. 343
  3. 117
  4. 18
  5. 45
  6. 96
  7. 70
  8. 225
  9. 8
  10. 15
  11. 170
  12. 125
  13. 128
  14. 18
  15. 80
  16. 25
  17. 64
  18. 60
  19. 58
  20. 45
  21. 75
  22. 14
  23. 126
  24. 18
  25. 28
  26. 208
  27. 10
  28. 44
  29. 42
  30. 4
  31. 70
  32. 123
  33. 23
  34. 224
  35. 65
  36. 21
  37. 392
  38. 20
  39. 54
  40. 25

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