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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 698 · 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).

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  1. 1.8 : 10 = 24 : ?
  2. 2.Divide ₹340 between Aarav and Dev in the ratio 1 : 9. How much does Aarav get (in ₹)?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  5. 5.11 : 3 = 88 : ?
  6. 6.Divide ₹60 between Aarav and Aditya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  8. 8.11 : 14 = 33 : ?
  9. 9.3 : 4 = 9 : ?
  10. 10.7 : 8 = 56 : ?
  11. 11.4 : 3 = 16 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  13. 13.2 : 3 = 16 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  15. 15.Divide ₹352 between Sneha and Farhan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.9 : 12 = 72 : ?
  18. 18.Divide ₹120 between Meera and Farhan in the ratio 1 : 5. How much does Meera get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  20. 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  21. 21.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  22. 22.2 : 15 = 6 : ?
  23. 23.Divide ₹308 between Rohan and Isha in the ratio 7 : 4. How much does Rohan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  25. 25.Divide ₹290 between Isha and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  26. 26.Divide ₹160 between Ishaan and Priya in the ratio 1 : 3. How much does Priya get (in ₹)?
  27. 27.Divide ₹855 between Kabir and Dev in the ratio 7 : 8. How much does Dev get (in ₹)?
  28. 28.7 : 2 = 35 : ?
  29. 29.Divide ₹640 between Priya and Rahul in the ratio 7 : 9. How much does Rahul get (in ₹)?
  30. 30.4 : 3 = 12 : ?
  31. 31.Divide ₹387 between Priya and Aditya in the ratio 4 : 5. How much does Aditya get (in ₹)?
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  34. 34.9 : 6 = 27 : ?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  37. 37.3 : 15 = 6 : ?
  38. 38.Divide ₹259 between Diya and Aarav in the ratio 6 : 1. How much does Aarav get (in ₹)?
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?

Answer key

  1. 30
  2. 34
  3. 80
  4. 36
  5. 24
  6. 45
  7. 21
  8. 42
  9. 12
  10. 64
  11. 12
  12. 40
  13. 24
  14. 6
  15. 64
  16. 100
  17. 96
  18. 20
  19. 9
  20. 128
  21. 45
  22. 45
  23. 196
  24. 28
  25. 29
  26. 120
  27. 456
  28. 10
  29. 360
  30. 9
  31. 215
  32. 28
  33. 6
  34. 18
  35. 16
  36. 20
  37. 30
  38. 37
  39. 18
  40. 14

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