← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 474 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  4. 4.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  5. 5.5 : 14 = 25 : ?
  6. 6.Divide ₹198 between Kavya and Saanvi in the ratio 4 : 5. How much does Kavya get (in ₹)?
  7. 7.Divide ₹98 between Sneha and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?
  8. 8.4 : 9 = 20 : ?
  9. 9.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  10. 10.3 : 7 = 6 : ?
  11. 11.Divide ₹645 between Farhan and Karan in the ratio 7 : 8. How much does Farhan get (in ₹)?
  12. 12.6 : 4 = 42 : ?
  13. 13.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  14. 14.9 : 3 = 36 : ?
  15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  16. 16.11 : 12 = 55 : ?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.Divide ₹72 between Kabir and Karan in the ratio 3 : 1. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
  20. 20.6 : 7 = 54 : ?
  21. 21.Divide ₹351 between Karan and Isha in the ratio 5 : 8. How much does Isha get (in ₹)?
  22. 22.6 : 13 = 18 : ?
  23. 23.10 : 4 = 30 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  27. 27.Divide ₹455 between Sneha and Pooja in the ratio 8 : 5. How much does Pooja get (in ₹)?
  28. 28.Divide ₹60 between Arjun and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  29. 29.2 : 8 = 12 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  31. 31.Divide ₹462 between Zoya and Karan in the ratio 3 : 8. How much does Karan get (in ₹)?
  32. 32.Divide ₹77 between Kavya and Rohan in the ratio 9 : 2. How much does Kavya get (in ₹)?
  33. 33.3 : 14 = 18 : ?
  34. 34.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  35. 35.Divide ₹128 between Karan and Rohan in the ratio 1 : 3. How much does Karan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.8 : 7 = 72 : ?
  39. 39.8 : 14 = 32 : ?
  40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

Answer key

  1. 75
  2. 18
  3. 54
  4. 20
  5. 70
  6. 88
  7. 28
  8. 45
  9. 144
  10. 14
  11. 301
  12. 28
  13. 96
  14. 12
  15. 175
  16. 60
  17. 200
  18. 54
  19. 36
  20. 63
  21. 216
  22. 39
  23. 12
  24. 56
  25. 20
  26. 63
  27. 175
  28. 42
  29. 48
  30. 60
  31. 336
  32. 63
  33. 84
  34. 80
  35. 32
  36. 2
  37. 81
  38. 63
  39. 56
  40. 225

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