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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 432 · 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).

NameDateTime takenScore ___ / 40
  1. 1.4 : 15 = 32 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  3. 3.5 : 13 = 10 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  9. 9.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  10. 10.7 : 4 = 28 : ?
  11. 11.Divide ₹204 between Rohan and Saanvi in the ratio 9 : 8. How much does Rohan get (in ₹)?
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  14. 14.9 : 5 = 18 : ?
  15. 15.Divide ₹234 between Aarav and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
  16. 16.Divide ₹645 between Meera and Rahul in the ratio 8 : 7. How much does Meera get (in ₹)?
  17. 17.Divide ₹407 between Kabir and Rahul in the ratio 4 : 7. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  20. 20.2 : 6 = 12 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  22. 22.Divide ₹308 between Dev and Vivaan in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  23. 23.Divide ₹45 between Saanvi and Tara in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  24. 24.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  25. 25.Divide ₹405 between Aditya and Ishaan in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  29. 29.Divide ₹60 between Farhan and Aditya in the ratio 4 : 1. How much does Farhan get (in ₹)?
  30. 30.8 : 14 = 32 : ?
  31. 31.8 : 5 = 24 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  34. 34.Divide ₹320 between Ishaan and Diya in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  39. 39.3 : 4 = 12 : ?
  40. 40.11 : 12 = 88 : ?

Answer key

  1. 120
  2. 16
  3. 26
  4. 6
  5. 30
  6. 8
  7. 2
  8. 49
  9. 72
  10. 16
  11. 108
  12. 175
  13. 72
  14. 10
  15. 130
  16. 344
  17. 259
  18. 125
  19. 20
  20. 36
  21. 36
  22. 110
  23. 10
  24. 144
  25. 180
  26. 27
  27. 32
  28. 30
  29. 48
  30. 56
  31. 15
  32. 10
  33. 2
  34. 180
  35. 21
  36. 54
  37. 72
  38. 9
  39. 16
  40. 96

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