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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 549 · 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. 1.5 : 13 = 45 : ?
  2. 2.4 : 15 = 12 : ?
  3. 3.5 : 11 = 40 : ?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  9. 9.10 : 7 = 20 : ?
  10. 10.Divide ₹570 between Ananya and Arjun in the ratio 7 : 3. How much does Ananya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  12. 12.12 : 2 = 36 : ?
  13. 13.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  14. 14.Divide ₹56 between Sneha and Aditya in the ratio 4 : 3. How much does Aditya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  17. 17.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  19. 19.Divide ₹324 between Meera and Sneha in the ratio 5 : 1. How much does Meera get (in ₹)?
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.Divide ₹150 between Farhan and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  23. 23.7 : 6 = 14 : ?
  24. 24.Divide ₹255 between Manav and Farhan in the ratio 2 : 3. How much does Farhan get (in ₹)?
  25. 25.Divide ₹105 between Pooja and Sneha in the ratio 5 : 2. How much does Pooja get (in ₹)?
  26. 26.Divide ₹121 between Aarav and Rohan in the ratio 7 : 4. How much does Aarav get (in ₹)?
  27. 27.Divide ₹273 between Meera and Aarav in the ratio 8 : 5. How much does Meera get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  30. 30.Divide ₹80 between Arjun and Sneha in the ratio 4 : 1. How much does Sneha get (in ₹)?
  31. 31.Divide ₹114 between Isha and Kavya in the ratio 2 : 1. How much does Kavya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  33. 33.11 : 4 = 99 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  35. 35.Divide ₹21 between Ananya and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
  36. 36.12 : 9 = 48 : ?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.5 : 7 = 25 : ?
  39. 39.Divide ₹27 between Diya and Farhan in the ratio 1 : 2. How much does Diya get (in ₹)?
  40. 40.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).

Answer key

  1. 117
  2. 45
  3. 88
  4. 18
  5. 64
  6. 10
  7. 45
  8. 28
  9. 14
  10. 399
  11. 35
  12. 6
  13. 10
  14. 24
  15. 4
  16. 63
  17. 8
  18. 30
  19. 270
  20. 36
  21. 125
  22. 50
  23. 12
  24. 153
  25. 75
  26. 77
  27. 168
  28. 25
  29. 81
  30. 16
  31. 38
  32. 12
  33. 36
  34. 36
  35. 7
  36. 36
  37. 24
  38. 35
  39. 9
  40. 12

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