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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 487 · 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.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.7 : 2 = 21 : ?
  3. 3.12 : 5 = 84 : ?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.8 : 12 = 72 : ?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.Divide ₹250 between Farhan and Nisha in the ratio 3 : 2. How much does Farhan get (in ₹)?
  8. 8.5 : 8 = 25 : ?
  9. 9.6 : 10 = 24 : ?
  10. 10.Divide ₹72 between Nisha and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  11. 11.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.7 : 5 = 14 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  16. 16.Divide ₹464 between Pooja and Nisha in the ratio 3 : 5. How much does Pooja get (in ₹)?
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.4 : 6 = 20 : ?
  19. 19.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  21. 21.10 : 6 = 20 : ?
  22. 22.8 : 4 = 48 : ?
  23. 23.Divide ₹697 between Karan and Vivaan in the ratio 9 : 8. How much does Karan get (in ₹)?
  24. 24.Divide ₹128 between Priya and Zoya in the ratio 7 : 1. How much does Priya get (in ₹)?
  25. 25.Divide ₹280 between Meera and Ishaan in the ratio 3 : 5. How much does Meera get (in ₹)?
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.Divide ₹594 between Aditya and Tara in the ratio 2 : 9. How much does Aditya get (in ₹)?
  28. 28.Divide ₹256 between Ishaan and Sneha in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  36. 36.Divide ₹780 between Rohan and Arjun in the ratio 7 : 6. How much does Rohan get (in ₹)?
  37. 37.10 : 11 = 20 : ?
  38. 38.6 : 2 = 36 : ?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.3 : 11 = 18 : ?

Answer key

  1. 100
  2. 6
  3. 35
  4. 48
  5. 108
  6. 28
  7. 150
  8. 40
  9. 40
  10. 54
  11. 80
  12. 36
  13. 10
  14. 15
  15. 24
  16. 174
  17. 175
  18. 30
  19. 50
  20. 45
  21. 12
  22. 24
  23. 369
  24. 112
  25. 105
  26. 54
  27. 108
  28. 224
  29. 5
  30. 20
  31. 27
  32. 56
  33. 6
  34. 81
  35. 16
  36. 420
  37. 22
  38. 12
  39. 96
  40. 66

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