← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 878 · 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 ₹253 between Ishaan and Arjun in the ratio 2 : 9. How much does Arjun get (in ₹)?
  2. 2.2 : 14 = 14 : ?
  3. 3.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.Divide ₹182 between Manav and Vivaan in the ratio 2 : 5. How much does Manav get (in ₹)?
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  8. 8.3 : 5 = 27 : ?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.10 : 8 = 50 : ?
  11. 11.Divide ₹160 between Farhan and Arjun in the ratio 7 : 9. How much does Arjun get (in ₹)?
  12. 12.2 : 4 = 18 : ?
  13. 13.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  14. 14.4 : 6 = 8 : ?
  15. 15.11 : 7 = 77 : ?
  16. 16.3 : 8 = 21 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  19. 19.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  21. 21.Divide ₹116 between Karan and Dev in the ratio 1 : 3. How much does Dev get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  24. 24.Divide ₹144 between Tara and Diya in the ratio 7 : 1. How much does Tara get (in ₹)?
  25. 25.Divide ₹627 between Rohan and Kavya in the ratio 7 : 4. How much does Rohan get (in ₹)?
  26. 26.2 : 4 = 12 : ?
  27. 27.Divide ₹378 between Rohan and Farhan in the ratio 8 : 1. How much does Rohan get (in ₹)?
  28. 28.Divide ₹287 between Tara and Farhan in the ratio 6 : 1. How much does Farhan get (in ₹)?
  29. 29.Divide ₹429 between Rahul and Tara in the ratio 3 : 8. How much does Rahul get (in ₹)?
  30. 30.7 : 2 = 63 : ?
  31. 31.7 : 15 = 56 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.9 : 15 = 27 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  36. 36.11 : 4 = 22 : ?
  37. 37.Divide ₹150 between Nisha and Diya in the ratio 3 : 7. How much does Nisha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  39. 39.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  40. 40.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).

Answer key

  1. 207
  2. 98
  3. 64
  4. 96
  5. 52
  6. 54
  7. 2
  8. 45
  9. 100
  10. 40
  11. 90
  12. 36
  13. 80
  14. 12
  15. 49
  16. 56
  17. 32
  18. 24
  19. 45
  20. 3
  21. 87
  22. 63
  23. 7
  24. 126
  25. 399
  26. 24
  27. 336
  28. 41
  29. 117
  30. 18
  31. 120
  32. 6
  33. 48
  34. 45
  35. 8
  36. 8
  37. 45
  38. 36
  39. 8
  40. 50

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