← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 49 · 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 3 and 12 (that is, 3 : 12 = 12 : ?).
  2. 2.Divide ₹260 between Rohan and Aarav in the ratio 8 : 5. How much does Rohan get (in ₹)?
  3. 3.6 : 7 = 42 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
  5. 5.Divide ₹650 between Sneha and Kavya in the ratio 8 : 5. How much does Sneha get (in ₹)?
  6. 6.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  7. 7.11 : 12 = 55 : ?
  8. 8.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  9. 9.Divide ₹68 between Ananya and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  11. 11.7 : 11 = 21 : ?
  12. 12.Divide ₹120 between Arjun and Nisha in the ratio 7 : 5. How much does Nisha get (in ₹)?
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.Divide ₹495 between Pooja and Manav in the ratio 6 : 5. How much does Pooja get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.Divide ₹880 between Pooja and Aarav in the ratio 7 : 9. How much does Aarav get (in ₹)?
  18. 18.6 : 7 = 30 : ?
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.3 : 9 = 21 : ?
  21. 21.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  22. 22.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  23. 23.Divide ₹420 between Meera and Ishaan in the ratio 5 : 9. How much does Meera get (in ₹)?
  24. 24.Divide ₹198 between Arjun and Kabir in the ratio 3 : 8. How much does Arjun get (in ₹)?
  25. 25.Divide ₹333 between Aarav and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  26. 26.3 : 15 = 15 : ?
  27. 27.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  29. 29.4 : 9 = 8 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  31. 31.2 : 7 = 4 : ?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.6 : 5 = 36 : ?
  34. 34.Divide ₹296 between Kavya and Saanvi in the ratio 5 : 3. How much does Kavya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  36. 36.11 : 15 = 33 : ?
  37. 37.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  38. 38.12 : 15 = 48 : ?
  39. 39.Divide ₹184 between Meera and Farhan in the ratio 3 : 1. How much does Meera get (in ₹)?
  40. 40.12 : 14 = 24 : ?

Answer key

  1. 48
  2. 160
  3. 49
  4. 36
  5. 400
  6. 50
  7. 60
  8. 10
  9. 51
  10. 8
  11. 33
  12. 50
  13. 12
  14. 270
  15. 90
  16. 16
  17. 495
  18. 35
  19. 112
  20. 63
  21. 81
  22. 24
  23. 150
  24. 54
  25. 74
  26. 75
  27. 27
  28. 48
  29. 18
  30. 2
  31. 14
  32. 200
  33. 30
  34. 185
  35. 6
  36. 45
  37. 4
  38. 60
  39. 138
  40. 28

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