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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 64 · 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.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  2. 2.Divide ₹198 between Ananya and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  3. 3.Divide ₹901 between Diya and Aarav in the ratio 9 : 8. How much does Diya get (in ₹)?
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  6. 6.10 : 14 = 20 : ?
  7. 7.6 : 13 = 12 : ?
  8. 8.Divide ₹165 between Farhan and Diya in the ratio 6 : 5. How much does Farhan get (in ₹)?
  9. 9.Divide ₹143 between Sneha and Manav in the ratio 8 : 3. How much does Manav get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  12. 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  13. 13.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  14. 14.2 : 7 = 14 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.11 : 8 = 33 : ?
  18. 18.6 : 15 = 18 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  20. 20.Divide ₹40 between Dev and Priya in the ratio 1 : 4. How much does Priya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  22. 22.Divide ₹462 between Pooja and Farhan in the ratio 3 : 8. How much does Farhan get (in ₹)?
  23. 23.Divide ₹91 between Saanvi and Kavya in the ratio 4 : 3. How much does Kavya get (in ₹)?
  24. 24.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  25. 25.4 : 5 = 28 : ?
  26. 26.Divide ₹290 between Vivaan and Karan in the ratio 9 : 1. How much does Karan get (in ₹)?
  27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  28. 28.Divide ₹208 between Aditya and Rohan in the ratio 5 : 8. How much does Aditya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  31. 31.5 : 4 = 25 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  34. 34.6 : 7 = 36 : ?
  35. 35.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  37. 37.3 : 2 = 6 : ?
  38. 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  39. 39.Divide ₹378 between Manav and Arjun in the ratio 3 : 4. How much does Manav get (in ₹)?
  40. 40.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).

Answer key

  1. 48
  2. 22
  3. 477
  4. 150
  5. 36
  6. 28
  7. 26
  8. 90
  9. 39
  10. 24
  11. 56
  12. 75
  13. 24
  14. 49
  15. 40
  16. 18
  17. 24
  18. 45
  19. 48
  20. 32
  21. 42
  22. 336
  23. 39
  24. 175
  25. 35
  26. 29
  27. 50
  28. 80
  29. 12
  30. 90
  31. 20
  32. 81
  33. 20
  34. 42
  35. 40
  36. 12
  37. 4
  38. 81
  39. 162
  40. 27

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