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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 261 · 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.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  4. 4.7 : 13 = 42 : ?
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.Divide ₹510 between Diya and Arjun in the ratio 8 : 7. How much does Diya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.4 : 3 = 20 : ?
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  13. 13.Divide ₹104 between Kavya and Sneha in the ratio 3 : 5. How much does Sneha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  15. 15.Divide ₹308 between Isha and Zoya in the ratio 9 : 2. How much does Isha get (in ₹)?
  16. 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  17. 17.Divide ₹81 between Rohan and Meera in the ratio 7 : 2. How much does Rohan get (in ₹)?
  18. 18.11 : 14 = 77 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  20. 20.9 : 8 = 36 : ?
  21. 21.4 : 14 = 24 : ?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  24. 24.Divide ₹715 between Ananya and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  25. 25.Divide ₹36 between Ananya and Kavya in the ratio 3 : 1. How much does Kavya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  27. 27.Divide ₹203 between Kabir and Ananya in the ratio 5 : 2. How much does Ananya get (in ₹)?
  28. 28.10 : 15 = 20 : ?
  29. 29.Divide ₹855 between Farhan and Ishaan in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  30. 30.Divide ₹36 between Aarav and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  33. 33.3 : 15 = 12 : ?
  34. 34.3 : 4 = 18 : ?
  35. 35.3 : 15 = 24 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  37. 37.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  38. 38.10 : 13 = 60 : ?
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.Divide ₹754 between Arjun and Ishaan in the ratio 4 : 9. How much does Arjun get (in ₹)?

Answer key

  1. 14
  2. 40
  3. 28
  4. 78
  5. 81
  6. 272
  7. 48
  8. 80
  9. 15
  10. 64
  11. 18
  12. 125
  13. 65
  14. 24
  15. 252
  16. 48
  17. 63
  18. 98
  19. 56
  20. 32
  21. 84
  22. 50
  23. 24
  24. 495
  25. 9
  26. 7
  27. 58
  28. 30
  29. 456
  30. 24
  31. 8
  32. 21
  33. 60
  34. 24
  35. 120
  36. 20
  37. 75
  38. 78
  39. 128
  40. 232

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