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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 460 · 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. 1.8 : 7 = 40 : ?
  2. 2.11 : 12 = 66 : ?
  3. 3.4 : 14 = 8 : ?
  4. 4.Divide ₹605 between Ananya and Pooja in the ratio 2 : 9. How much does Pooja get (in ₹)?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.Divide ₹440 between Kabir and Sneha in the ratio 2 : 9. How much does Kabir get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  9. 9.Divide ₹156 between Rahul and Diya in the ratio 1 : 3. How much does Rahul get (in ₹)?
  10. 10.Divide ₹480 between Tara and Vivaan in the ratio 1 : 7. How much does Vivaan get (in ₹)?
  11. 11.2 : 13 = 18 : ?
  12. 12.Divide ₹288 between Tara and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  13. 13.8 : 4 = 48 : ?
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  16. 16.Divide ₹117 between Priya and Ananya in the ratio 6 : 7. How much does Priya get (in ₹)?
  17. 17.8 : 14 = 16 : ?
  18. 18.Divide ₹264 between Meera and Rahul in the ratio 1 : 7. How much does Meera get (in ₹)?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  22. 22.4 : 11 = 12 : ?
  23. 23.Divide ₹56 between Ananya and Aditya in the ratio 5 : 2. How much does Ananya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.8 : 13 = 24 : ?
  28. 28.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  29. 29.4 : 6 = 20 : ?
  30. 30.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  31. 31.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  34. 34.4 : 12 = 36 : ?
  35. 35.Divide ₹472 between Ishaan and Kabir in the ratio 7 : 1. How much does Kabir get (in ₹)?
  36. 36.Divide ₹270 between Manav and Rohan in the ratio 3 : 7. How much does Manav get (in ₹)?
  37. 37.Divide ₹306 between Saanvi and Ananya in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  38. 38.11 : 2 = 66 : ?
  39. 39.Divide ₹689 between Ishaan and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?

Answer key

  1. 35
  2. 72
  3. 28
  4. 495
  5. 75
  6. 175
  7. 80
  8. 8
  9. 39
  10. 420
  11. 117
  12. 48
  13. 24
  14. 20
  15. 18
  16. 54
  17. 28
  18. 33
  19. 16
  20. 50
  21. 45
  22. 33
  23. 40
  24. 20
  25. 4
  26. 32
  27. 39
  28. 56
  29. 30
  30. 36
  31. 16
  32. 90
  33. 27
  34. 108
  35. 59
  36. 81
  37. 272
  38. 12
  39. 212
  40. 4

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