← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 756 · 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 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  3. 3.Divide ₹649 between Saanvi and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
  4. 4.Divide ₹780 between Vivaan and Nisha in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  5. 5.4 : 14 = 20 : ?
  6. 6.Divide ₹185 between Tara and Diya in the ratio 2 : 3. How much does Tara get (in ₹)?
  7. 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  8. 8.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  9. 9.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  11. 11.Divide ₹28 between Ishaan and Karan in the ratio 3 : 1. How much does Karan get (in ₹)?
  12. 12.Divide ₹280 between Sneha and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  13. 13.Divide ₹168 between Sneha and Vivaan in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  14. 14.Divide ₹288 between Saanvi and Nisha in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  15. 15.Divide ₹45 between Ishaan and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  16. 16.Divide ₹180 between Ananya and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  18. 18.Divide ₹350 between Isha and Manav in the ratio 4 : 3. How much does Isha get (in ₹)?
  19. 19.7 : 11 = 49 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  22. 22.4 : 2 = 16 : ?
  23. 23.4 : 13 = 12 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  26. 26.7 : 3 = 63 : ?
  27. 27.Divide ₹195 between Diya and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  28. 28.9 : 4 = 18 : ?
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  31. 31.Divide ₹598 between Diya and Ishaan in the ratio 6 : 7. How much does Diya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  35. 35.4 : 12 = 20 : ?
  36. 36.11 : 15 = 33 : ?
  37. 37.Divide ₹468 between Nisha and Aarav in the ratio 8 : 1. How much does Nisha get (in ₹)?
  38. 38.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  39. 39.Divide ₹912 between Aditya and Rahul in the ratio 7 : 9. How much does Aditya get (in ₹)?
  40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

Answer key

  1. 36
  2. 4
  3. 118
  4. 420
  5. 70
  6. 74
  7. 96
  8. 14
  9. 16
  10. 20
  11. 7
  12. 245
  13. 112
  14. 252
  15. 35
  16. 160
  17. 7
  18. 200
  19. 77
  20. 6
  21. 18
  22. 8
  23. 39
  24. 9
  25. 30
  26. 27
  27. 78
  28. 8
  29. 36
  30. 12
  31. 276
  32. 40
  33. 35
  34. 18
  35. 60
  36. 45
  37. 416
  38. 54
  39. 399
  40. 63

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