← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 619 · 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.Divide ₹594 between Rahul and Dev in the ratio 3 : 8. How much does Rahul get (in ₹)?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  6. 6.Divide ₹473 between Meera and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  7. 7.Divide ₹255 between Pooja and Kabir in the ratio 8 : 9. How much does Kabir get (in ₹)?
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.6 : 4 = 18 : ?
  11. 11.Divide ₹95 between Karan and Zoya in the ratio 2 : 3. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.12 : 15 = 24 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  15. 15.Divide ₹49 between Sneha and Nisha in the ratio 5 : 2. How much does Sneha get (in ₹)?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  18. 18.Divide ₹517 between Diya and Dev in the ratio 8 : 3. How much does Diya get (in ₹)?
  19. 19.Divide ₹44 between Diya and Zoya in the ratio 3 : 1. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  22. 22.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  24. 24.Divide ₹150 between Arjun and Diya in the ratio 1 : 9. How much does Arjun get (in ₹)?
  25. 25.11 : 13 = 77 : ?
  26. 26.Divide ₹605 between Diya and Saanvi in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  27. 27.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  28. 28.6 : 5 = 48 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  33. 33.Divide ₹240 between Meera and Arjun in the ratio 7 : 9. How much does Meera get (in ₹)?
  34. 34.4 : 14 = 8 : ?
  35. 35.8 : 9 = 64 : ?
  36. 36.12 : 9 = 84 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  38. 38.2 : 10 = 8 : ?
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.4 : 15 = 36 : ?

Answer key

  1. 162
  2. 16
  3. 36
  4. 8
  5. 50
  6. 387
  7. 135
  8. 63
  9. 175
  10. 12
  11. 38
  12. 50
  13. 30
  14. 8
  15. 35
  16. 12
  17. 32
  18. 376
  19. 11
  20. 24
  21. 128
  22. 81
  23. 225
  24. 15
  25. 91
  26. 330
  27. 27
  28. 40
  29. 14
  30. 16
  31. 42
  32. 35
  33. 105
  34. 28
  35. 72
  36. 63
  37. 48
  38. 40
  39. 28
  40. 135

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude