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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 627 · 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 ₹48 between Rohan and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  2. 2.Divide ₹252 between Meera and Vivaan in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Divide ₹64 between Aditya and Ishaan in the ratio 1 : 3. How much does Aditya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.8 : 5 = 24 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  11. 11.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  13. 13.8 : 2 = 56 : ?
  14. 14.9 : 15 = 27 : ?
  15. 15.8 : 12 = 72 : ?
  16. 16.4 : 15 = 32 : ?
  17. 17.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  19. 19.12 : 11 = 48 : ?
  20. 20.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  21. 21.9 : 14 = 45 : ?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  24. 24.Divide ₹294 between Nisha and Isha in the ratio 1 : 5. How much does Nisha get (in ₹)?
  25. 25.Divide ₹130 between Manav and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Divide ₹224 between Saanvi and Meera in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  30. 30.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  31. 31.Divide ₹780 between Nisha and Vivaan in the ratio 7 : 8. How much does Nisha get (in ₹)?
  32. 32.7 : 10 = 49 : ?
  33. 33.Divide ₹141 between Rahul and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  37. 37.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  38. 38.12 : 3 = 36 : ?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.Divide ₹75 between Kabir and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?

Answer key

  1. 16
  2. 72
  3. 28
  4. 16
  5. 3
  6. 80
  7. 15
  8. 20
  9. 21
  10. 100
  11. 36
  12. 18
  13. 14
  14. 45
  15. 108
  16. 120
  17. 63
  18. 200
  19. 44
  20. 54
  21. 70
  22. 24
  23. 8
  24. 49
  25. 13
  26. 10
  27. 81
  28. 32
  29. 12
  30. 64
  31. 364
  32. 70
  33. 94
  34. 40
  35. 48
  36. 75
  37. 35
  38. 9
  39. 96
  40. 30

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