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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 255 · 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.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  2. 2.Divide ₹432 between Rohan and Farhan in the ratio 7 : 1. How much does Rohan get (in ₹)?
  3. 3.Divide ₹176 between Ananya and Zoya in the ratio 3 : 8. How much does Ananya get (in ₹)?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Divide ₹637 between Isha and Diya in the ratio 4 : 9. How much does Diya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.Divide ₹112 between Sneha and Kabir in the ratio 3 : 4. How much does Kabir get (in ₹)?
  11. 11.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  13. 13.5 : 15 = 10 : ?
  14. 14.Divide ₹495 between Isha and Priya in the ratio 3 : 8. How much does Isha get (in ₹)?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.4 : 13 = 20 : ?
  17. 17.Divide ₹270 between Aditya and Nisha in the ratio 2 : 7. How much does Aditya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  19. 19.Divide ₹138 between Manav and Rohan in the ratio 1 : 2. How much does Manav get (in ₹)?
  20. 20.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  21. 21.9 : 8 = 54 : ?
  22. 22.11 : 12 = 55 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  24. 24.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  25. 25.3 : 8 = 18 : ?
  26. 26.Divide ₹405 between Rahul and Diya in the ratio 2 : 7. How much does Diya get (in ₹)?
  27. 27.Divide ₹676 between Diya and Farhan in the ratio 8 : 5. How much does Diya get (in ₹)?
  28. 28.11 : 6 = 33 : ?
  29. 29.Divide ₹77 between Kabir and Diya in the ratio 3 : 8. How much does Kabir get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  33. 33.3 : 7 = 12 : ?
  34. 34.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  36. 36.2 : 12 = 8 : ?
  37. 37.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  39. 39.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  40. 40.Divide ₹357 between Tara and Aarav in the ratio 3 : 4. How much does Aarav get (in ₹)?

Answer key

  1. 50
  2. 378
  3. 48
  4. 81
  5. 32
  6. 54
  7. 441
  8. 14
  9. 27
  10. 64
  11. 128
  12. 112
  13. 30
  14. 135
  15. 64
  16. 65
  17. 60
  18. 40
  19. 46
  20. 225
  21. 48
  22. 60
  23. 48
  24. 200
  25. 48
  26. 315
  27. 416
  28. 18
  29. 21
  30. 3
  31. 4
  32. 72
  33. 28
  34. 70
  35. 36
  36. 48
  37. 32
  38. 16
  39. 150
  40. 204

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