← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 48 · 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 5 and 25 (that is, 5 : 25 = 25 : ?).
  2. 2.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  3. 3.Divide ₹207 between Kabir and Diya in the ratio 1 : 8. How much does Diya get (in ₹)?
  4. 4.Divide ₹561 between Manav and Tara in the ratio 9 : 8. How much does Manav get (in ₹)?
  5. 5.9 : 4 = 81 : ?
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.6 : 7 = 54 : ?
  8. 8.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  9. 9.Divide ₹207 between Sneha and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  13. 13.Divide ₹60 between Ishaan and Kabir in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  14. 14.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  15. 15.9 : 13 = 72 : ?
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  19. 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  20. 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  21. 21.Divide ₹169 between Nisha and Karan in the ratio 9 : 4. How much does Karan get (in ₹)?
  22. 22.Divide ₹238 between Vivaan and Tara in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  23. 23.Divide ₹285 between Farhan and Kabir in the ratio 1 : 4. How much does Kabir get (in ₹)?
  24. 24.3 : 14 = 21 : ?
  25. 25.4 : 2 = 24 : ?
  26. 26.Divide ₹91 between Priya and Ishaan in the ratio 8 : 5. How much does Priya get (in ₹)?
  27. 27.Divide ₹75 between Saanvi and Karan in the ratio 7 : 8. How much does Karan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  29. 29.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  31. 31.Divide ₹138 between Ishaan and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  38. 38.12 : 11 = 72 : ?
  39. 39.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  40. 40.6 : 4 = 12 : ?

Answer key

  1. 125
  2. 80
  3. 184
  4. 297
  5. 36
  6. 36
  7. 63
  8. 12
  9. 161
  10. 42
  11. 63
  12. 56
  13. 20
  14. 16
  15. 104
  16. 150
  17. 49
  18. 45
  19. 200
  20. 8
  21. 52
  22. 153
  23. 228
  24. 98
  25. 12
  26. 56
  27. 40
  28. 63
  29. 12
  30. 36
  31. 46
  32. 10
  33. 54
  34. 50
  35. 10
  36. 15
  37. 28
  38. 66
  39. 144
  40. 8

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