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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 693 · 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 7 : 6. There are 42 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  3. 3.3 : 5 = 15 : ?
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.Divide ₹396 between Kavya and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  8. 8.Divide ₹429 between Karan and Isha in the ratio 2 : 9. How much does Isha get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  11. 11.Divide ₹406 between Aditya and Ishaan in the ratio 9 : 5. How much does Aditya get (in ₹)?
  12. 12.Divide ₹279 between Kabir and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
  13. 13.5 : 9 = 40 : ?
  14. 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  15. 15.Divide ₹363 between Priya and Ishaan in the ratio 2 : 9. How much does Priya get (in ₹)?
  16. 16.11 : 10 = 55 : ?
  17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  18. 18.Divide ₹105 between Rohan and Zoya in the ratio 3 : 2. How much does Rohan get (in ₹)?
  19. 19.Divide ₹540 between Diya and Aarav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.10 : 3 = 30 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  24. 24.7 : 13 = 42 : ?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.5 : 3 = 45 : ?
  30. 30.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  31. 31.12 : 8 = 60 : ?
  32. 32.9 : 10 = 27 : ?
  33. 33.Divide ₹192 between Aarav and Karan in the ratio 7 : 9. How much does Karan get (in ₹)?
  34. 34.Divide ₹756 between Kavya and Ishaan in the ratio 5 : 9. How much does Kavya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.3 : 11 = 27 : ?
  38. 38.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?

Answer key

  1. 36
  2. 70
  3. 25
  4. 150
  5. 8
  6. 18
  7. 231
  8. 351
  9. 72
  10. 6
  11. 261
  12. 31
  13. 72
  14. 45
  15. 66
  16. 50
  17. 112
  18. 63
  19. 378
  20. 36
  21. 175
  22. 9
  23. 24
  24. 78
  25. 200
  26. 16
  27. 144
  28. 48
  29. 27
  30. 7
  31. 40
  32. 30
  33. 108
  34. 270
  35. 7
  36. 128
  37. 99
  38. 21
  39. 36
  40. 48

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