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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 224 · 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. 1.3 : 15 = 24 : ?
  2. 2.Divide ₹221 between Karan and Sneha in the ratio 5 : 8. How much does Karan get (in ₹)?
  3. 3.Divide ₹240 between Pooja and Zoya in the ratio 3 : 5. How much does Pooja get (in ₹)?
  4. 4.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  5. 5.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  7. 7.4 : 9 = 36 : ?
  8. 8.3 : 11 = 12 : ?
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  13. 13.3 : 5 = 24 : ?
  14. 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.4 : 5 = 12 : ?
  17. 17.4 : 8 = 24 : ?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  20. 20.7 : 3 = 42 : ?
  21. 21.7 : 14 = 35 : ?
  22. 22.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  24. 24.10 : 8 = 60 : ?
  25. 25.Divide ₹533 between Karan and Rohan in the ratio 9 : 4. How much does Rohan get (in ₹)?
  26. 26.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  27. 27.Divide ₹387 between Saanvi and Aarav in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  28. 28.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  29. 29.4 : 15 = 16 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  31. 31.12 : 11 = 48 : ?
  32. 32.Divide ₹63 between Rahul and Nisha in the ratio 8 : 1. How much does Rahul get (in ₹)?
  33. 33.Divide ₹484 between Ishaan and Diya in the ratio 4 : 7. How much does Diya get (in ₹)?
  34. 34.3 : 6 = 27 : ?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  38. 38.Divide ₹77 between Vivaan and Tara in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  40. 40.Divide ₹416 between Isha and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?

Answer key

  1. 120
  2. 85
  3. 90
  4. 144
  5. 49
  6. 20
  7. 81
  8. 44
  9. 4
  10. 80
  11. 12
  12. 5
  13. 40
  14. 36
  15. 32
  16. 15
  17. 48
  18. 32
  19. 36
  20. 18
  21. 70
  22. 56
  23. 225
  24. 48
  25. 164
  26. 48
  27. 301
  28. 81
  29. 60
  30. 32
  31. 44
  32. 56
  33. 308
  34. 54
  35. 64
  36. 128
  37. 20
  38. 42
  39. 5
  40. 224

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