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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 476 · 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.Divide ₹288 between Priya and Pooja in the ratio 7 : 9. How much does Priya get (in ₹)?
  2. 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  3. 3.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  4. 4.Divide ₹77 between Meera and Priya in the ratio 6 : 1. How much does Priya get (in ₹)?
  5. 5.Divide ₹660 between Ishaan and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  6. 6.6 : 7 = 18 : ?
  7. 7.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  10. 10.Divide ₹308 between Meera and Aditya in the ratio 9 : 2. How much does Aditya get (in ₹)?
  11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  13. 13.10 : 4 = 60 : ?
  14. 14.Divide ₹720 between Vivaan and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  16. 16.Divide ₹66 between Nisha and Sneha in the ratio 2 : 9. How much does Nisha get (in ₹)?
  17. 17.5 : 8 = 40 : ?
  18. 18.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  19. 19.Divide ₹72 between Priya and Aarav in the ratio 5 : 7. How much does Priya get (in ₹)?
  20. 20.6 : 7 = 42 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  22. 22.12 : 2 = 60 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  24. 24.6 : 13 = 24 : ?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Divide ₹112 between Saanvi and Ishaan in the ratio 5 : 9. How much does Ishaan get (in ₹)?
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Divide ₹35 between Ananya and Arjun in the ratio 4 : 3. How much does Ananya get (in ₹)?
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.11 : 8 = 66 : ?
  31. 31.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  33. 33.Divide ₹28 between Isha and Nisha in the ratio 3 : 1. How much does Isha get (in ₹)?
  34. 34.Divide ₹320 between Aarav and Kavya in the ratio 3 : 5. How much does Kavya get (in ₹)?
  35. 35.9 : 13 = 81 : ?
  36. 36.12 : 13 = 84 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  39. 39.Divide ₹312 between Rahul and Arjun in the ratio 4 : 9. How much does Rahul get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?

Answer key

  1. 126
  2. 175
  3. 12
  4. 11
  5. 300
  6. 21
  7. 18
  8. 8
  9. 28
  10. 56
  11. 81
  12. 18
  13. 24
  14. 420
  15. 18
  16. 12
  17. 64
  18. 100
  19. 30
  20. 49
  21. 15
  22. 10
  23. 20
  24. 52
  25. 75
  26. 72
  27. 125
  28. 20
  29. 54
  30. 48
  31. 10
  32. 27
  33. 21
  34. 200
  35. 117
  36. 91
  37. 24
  38. 42
  39. 96
  40. 90

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