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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 188 · 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.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  2. 2.11 : 9 = 55 : ?
  3. 3.Divide ₹490 between Nisha and Aarav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  4. 4.Divide ₹228 between Nisha and Dev in the ratio 5 : 7. How much does Nisha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.Divide ₹176 between Rahul and Zoya in the ratio 9 : 7. How much does Rahul get (in ₹)?
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  11. 11.2 : 14 = 8 : ?
  12. 12.Divide ₹517 between Aarav and Kabir in the ratio 3 : 8. How much does Kabir get (in ₹)?
  13. 13.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  14. 14.2 : 11 = 8 : ?
  15. 15.4 : 8 = 28 : ?
  16. 16.6 : 4 = 48 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  18. 18.Divide ₹468 between Arjun and Aarav in the ratio 5 : 7. How much does Aarav get (in ₹)?
  19. 19.Divide ₹135 between Zoya and Karan in the ratio 8 : 7. How much does Zoya get (in ₹)?
  20. 20.8 : 14 = 16 : ?
  21. 21.3 : 14 = 6 : ?
  22. 22.5 : 15 = 40 : ?
  23. 23.Divide ₹376 between Aditya and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  24. 24.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  25. 25.Divide ₹270 between Saanvi and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  28. 28.Divide ₹145 between Kavya and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  29. 29.4 : 10 = 12 : ?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Divide ₹209 between Aarav and Isha in the ratio 8 : 3. How much does Aarav get (in ₹)?
  32. 32.6 : 12 = 48 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  34. 34.3 : 8 = 6 : ?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.Divide ₹280 between Kabir and Pooja in the ratio 1 : 9. How much does Kabir get (in ₹)?
  37. 37.8 : 10 = 72 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.9 : 4 = 45 : ?

Answer key

  1. 28
  2. 45
  3. 343
  4. 95
  5. 15
  6. 40
  7. 32
  8. 99
  9. 36
  10. 72
  11. 56
  12. 376
  13. 125
  14. 44
  15. 56
  16. 32
  17. 28
  18. 273
  19. 72
  20. 28
  21. 28
  22. 120
  23. 235
  24. 200
  25. 45
  26. 45
  27. 36
  28. 116
  29. 30
  30. 63
  31. 152
  32. 96
  33. 18
  34. 16
  35. 12
  36. 28
  37. 90
  38. 9
  39. 48
  40. 20

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