← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 230 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Divide ₹80 between Rohan and Vivaan in the ratio 1 : 7. How much does Vivaan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  4. 4.9 : 13 = 72 : ?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.3 : 10 = 18 : ?
  7. 7.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  10. 10.Divide ₹200 between Karan and Tara in the ratio 1 : 4. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.Divide ₹205 between Kabir and Manav in the ratio 2 : 3. How much does Manav get (in ₹)?
  15. 15.4 : 2 = 24 : ?
  16. 16.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  17. 17.Divide ₹308 between Rahul and Diya in the ratio 2 : 9. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.Divide ₹216 between Meera and Ishaan in the ratio 7 : 1. How much does Meera get (in ₹)?
  20. 20.Divide ₹264 between Tara and Rahul in the ratio 8 : 3. How much does Tara get (in ₹)?
  21. 21.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  22. 22.6 : 8 = 12 : ?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  25. 25.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  26. 26.Divide ₹387 between Priya and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.10 : 6 = 80 : ?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.3 : 2 = 6 : ?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.Divide ₹588 between Meera and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  38. 38.Divide ₹424 between Rahul and Vivaan in the ratio 5 : 3. How much does Vivaan get (in ₹)?
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?

Answer key

  1. 50
  2. 70
  3. 14
  4. 104
  5. 150
  6. 60
  7. 32
  8. 8
  9. 27
  10. 40
  11. 4
  12. 18
  13. 12
  14. 123
  15. 12
  16. 75
  17. 56
  18. 96
  19. 189
  20. 192
  21. 54
  22. 16
  23. 36
  24. 63
  25. 72
  26. 301
  27. 18
  28. 5
  29. 100
  30. 48
  31. 81
  32. 4
  33. 28
  34. 2
  35. 8
  36. 64
  37. 343
  38. 159
  39. 200
  40. 49

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