← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 758 · 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.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  2. 2.Divide ₹918 between Rohan and Kabir in the ratio 9 : 8. How much does Kabir get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  6. 6.2 : 10 = 8 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  8. 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  9. 9.6 : 5 = 54 : ?
  10. 10.Divide ₹280 between Aditya and Rohan in the ratio 7 : 3. How much does Rohan get (in ₹)?
  11. 11.Divide ₹672 between Ananya and Nisha in the ratio 5 : 9. How much does Ananya get (in ₹)?
  12. 12.Divide ₹180 between Nisha and Tara in the ratio 7 : 5. How much does Nisha get (in ₹)?
  13. 13.Divide ₹240 between Manav and Nisha in the ratio 1 : 9. How much does Nisha get (in ₹)?
  14. 14.Divide ₹408 between Manav and Diya in the ratio 8 : 9. How much does Diya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.8 : 6 = 56 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  19. 19.9 : 11 = 72 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.3 : 7 = 24 : ?
  23. 23.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  26. 26.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  28. 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.Divide ₹180 between Rahul and Farhan in the ratio 1 : 2. How much does Rahul get (in ₹)?
  31. 31.10 : 14 = 70 : ?
  32. 32.Divide ₹528 between Manav and Ananya in the ratio 3 : 8. How much does Ananya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  34. 34.Divide ₹371 between Meera and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.6 : 2 = 18 : ?
  38. 38.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  39. 39.7 : 12 = 35 : ?
  40. 40.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).

Answer key

  1. 40
  2. 432
  3. 8
  4. 4
  5. 36
  6. 40
  7. 15
  8. 64
  9. 45
  10. 84
  11. 240
  12. 105
  13. 216
  14. 216
  15. 81
  16. 80
  17. 42
  18. 8
  19. 88
  20. 35
  21. 12
  22. 56
  23. 9
  24. 6
  25. 225
  26. 50
  27. 6
  28. 27
  29. 54
  30. 60
  31. 98
  32. 384
  33. 6
  34. 212
  35. 72
  36. 125
  37. 6
  38. 150
  39. 60
  40. 18

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