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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 216 · 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.Divide ₹35 between Rohan and Zoya in the ratio 6 : 1. How much does Rohan get (in ₹)?
  2. 2.Divide ₹333 between Aarav and Ananya in the ratio 4 : 5. How much does Aarav get (in ₹)?
  3. 3.5 : 11 = 15 : ?
  4. 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.5 : 8 = 25 : ?
  7. 7.Divide ₹336 between Aarav and Meera in the ratio 5 : 3. How much does Aarav get (in ₹)?
  8. 8.11 : 7 = 22 : ?
  9. 9.10 : 15 = 30 : ?
  10. 10.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  11. 11.8 : 6 = 24 : ?
  12. 12.5 : 2 = 25 : ?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.3 : 11 = 27 : ?
  15. 15.6 : 14 = 48 : ?
  16. 16.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.7 : 3 = 28 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  21. 21.Divide ₹165 between Farhan and Ishaan in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  24. 24.Divide ₹230 between Kavya and Vivaan in the ratio 3 : 2. How much does Kavya get (in ₹)?
  25. 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  26. 26.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  28. 28.Divide ₹72 between Aditya and Arjun in the ratio 4 : 5. How much does Arjun get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  30. 30.Divide ₹175 between Nisha and Meera in the ratio 5 : 2. How much does Nisha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  34. 34.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  37. 37.12 : 2 = 36 : ?
  38. 38.Divide ₹600 between Kabir and Meera in the ratio 8 : 7. How much does Kabir get (in ₹)?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?

Answer key

  1. 30
  2. 148
  3. 33
  4. 100
  5. 8
  6. 40
  7. 210
  8. 14
  9. 45
  10. 16
  11. 18
  12. 10
  13. 18
  14. 99
  15. 112
  16. 63
  17. 45
  18. 112
  19. 12
  20. 5
  21. 45
  22. 14
  23. 7
  24. 138
  25. 45
  26. 18
  27. 14
  28. 40
  29. 6
  30. 125
  31. 63
  32. 54
  33. 20
  34. 10
  35. 63
  36. 75
  37. 6
  38. 320
  39. 96
  40. 8

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