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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 267 · 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 2 : 5. There are 18 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  3. 3.Divide ₹154 between Arjun and Tara in the ratio 5 : 9. How much does Arjun get (in ₹)?
  4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  7. 7.12 : 13 = 36 : ?
  8. 8.Divide ₹162 between Isha and Sneha in the ratio 7 : 2. How much does Isha get (in ₹)?
  9. 9.9 : 3 = 54 : ?
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.12 : 10 = 72 : ?
  12. 12.7 : 12 = 63 : ?
  13. 13.Divide ₹30 between Saanvi and Isha in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  14. 14.Divide ₹288 between Sneha and Pooja in the ratio 7 : 2. How much does Pooja get (in ₹)?
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  17. 17.8 : 11 = 64 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  21. 21.10 : 6 = 90 : ?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  24. 24.4 : 12 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  26. 26.Divide ₹308 between Ishaan and Kabir in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.Divide ₹154 between Nisha and Tara in the ratio 2 : 9. How much does Nisha get (in ₹)?
  31. 31.Divide ₹377 between Diya and Farhan in the ratio 4 : 9. How much does Farhan get (in ₹)?
  32. 32.2 : 14 = 18 : ?
  33. 33.6 : 14 = 18 : ?
  34. 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  35. 35.6 : 14 = 24 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.Divide ₹85 between Aditya and Ishaan in the ratio 1 : 4. How much does Aditya get (in ₹)?
  40. 40.Divide ₹560 between Priya and Aarav in the ratio 1 : 9. How much does Aarav get (in ₹)?

Answer key

  1. 45
  2. 8
  3. 55
  4. 64
  5. 81
  6. 63
  7. 39
  8. 126
  9. 18
  10. 20
  11. 60
  12. 108
  13. 10
  14. 64
  15. 28
  16. 18
  17. 88
  18. 40
  19. 63
  20. 64
  21. 54
  22. 36
  23. 42
  24. 60
  25. 64
  26. 198
  27. 96
  28. 49
  29. 100
  30. 28
  31. 261
  32. 126
  33. 42
  34. 18
  35. 56
  36. 12
  37. 2
  38. 8
  39. 17
  40. 504

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