← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 638 · 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.Divide ₹72 between Tara and Aarav in the ratio 1 : 2. How much does Tara get (in ₹)?
  3. 3.Divide ₹528 between Ishaan and Manav in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  4. 4.8 : 15 = 48 : ?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  7. 7.6 : 3 = 54 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  9. 9.Divide ₹182 between Ishaan and Isha in the ratio 5 : 9. How much does Ishaan get (in ₹)?
  10. 10.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  13. 13.12 : 9 = 108 : ?
  14. 14.5 : 2 = 25 : ?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.Divide ₹168 between Farhan and Aarav in the ratio 3 : 4. How much does Farhan get (in ₹)?
  17. 17.11 : 3 = 99 : ?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  20. 20.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  21. 21.Divide ₹330 between Meera and Aarav in the ratio 7 : 8. How much does Meera get (in ₹)?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.11 : 12 = 44 : ?
  26. 26.Divide ₹570 between Arjun and Zoya in the ratio 8 : 7. How much does Arjun get (in ₹)?
  27. 27.Divide ₹90 between Karan and Aditya in the ratio 1 : 8. How much does Karan get (in ₹)?
  28. 28.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  29. 29.2 : 14 = 4 : ?
  30. 30.12 : 11 = 108 : ?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  33. 33.5 : 10 = 45 : ?
  34. 34.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  35. 35.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  36. 36.11 : 13 = 66 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  38. 38.Divide ₹320 between Isha and Nisha in the ratio 3 : 7. How much does Isha get (in ₹)?
  39. 39.Divide ₹248 between Aditya and Sneha in the ratio 1 : 7. How much does Sneha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?

Answer key

  1. 28
  2. 24
  3. 308
  4. 90
  5. 150
  6. 36
  7. 27
  8. 12
  9. 65
  10. 63
  11. 144
  12. 70
  13. 81
  14. 10
  15. 32
  16. 72
  17. 27
  18. 8
  19. 14
  20. 80
  21. 154
  22. 12
  23. 45
  24. 16
  25. 48
  26. 304
  27. 10
  28. 72
  29. 28
  30. 99
  31. 100
  32. 72
  33. 90
  34. 36
  35. 27
  36. 78
  37. 40
  38. 96
  39. 217
  40. 35

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