← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 84 · 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 : 7. There are 18 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  5. 5.Divide ₹264 between Isha and Nisha in the ratio 3 : 5. How much does Isha get (in ₹)?
  6. 6.3 : 13 = 9 : ?
  7. 7.Divide ₹408 between Meera and Rahul in the ratio 7 : 1. How much does Meera get (in ₹)?
  8. 8.3 : 10 = 12 : ?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.Divide ₹54 between Kabir and Manav in the ratio 1 : 8. How much does Manav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  12. 12.Divide ₹330 between Diya and Dev in the ratio 6 : 5. How much does Diya get (in ₹)?
  13. 13.12 : 11 = 84 : ?
  14. 14.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  15. 15.Divide ₹57 between Aarav and Arjun in the ratio 1 : 2. How much does Aarav get (in ₹)?
  16. 16.Divide ₹645 between Ishaan and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  17. 17.3 : 11 = 9 : ?
  18. 18.Divide ₹544 between Meera and Priya in the ratio 9 : 7. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.3 : 15 = 21 : ?
  21. 21.Divide ₹51 between Aarav and Kavya in the ratio 1 : 2. How much does Aarav get (in ₹)?
  22. 22.7 : 11 = 14 : ?
  23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  24. 24.10 : 12 = 20 : ?
  25. 25.3 : 7 = 24 : ?
  26. 26.Divide ₹767 between Isha and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
  27. 27.7 : 2 = 28 : ?
  28. 28.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.Divide ₹260 between Ananya and Saanvi in the ratio 7 : 6. How much does Ananya get (in ₹)?
  31. 31.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  32. 32.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  35. 35.10 : 6 = 90 : ?
  36. 36.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  39. 39.Divide ₹238 between Arjun and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
  40. 40.Divide ₹180 between Diya and Ishaan in the ratio 9 : 1. How much does Diya get (in ₹)?

Answer key

  1. 42
  2. 32
  3. 49
  4. 72
  5. 99
  6. 39
  7. 357
  8. 40
  9. 12
  10. 48
  11. 20
  12. 180
  13. 77
  14. 75
  15. 19
  16. 301
  17. 33
  18. 238
  19. 112
  20. 105
  21. 17
  22. 22
  23. 225
  24. 24
  25. 56
  26. 354
  27. 8
  28. 6
  29. 36
  30. 140
  31. 150
  32. 35
  33. 50
  34. 12
  35. 54
  36. 63
  37. 9
  38. 45
  39. 85
  40. 162

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