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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 632 · 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. 1.7 : 12 = 28 : ?
  2. 2.Divide ₹87 between Kabir and Zoya in the ratio 2 : 1. How much does Kabir get (in ₹)?
  3. 3.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  4. 4.Divide ₹234 between Ananya and Manav in the ratio 8 : 1. How much does Manav get (in ₹)?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  7. 7.Divide ₹189 between Sneha and Rohan in the ratio 4 : 3. How much does Sneha get (in ₹)?
  8. 8.Divide ₹649 between Dev and Aarav in the ratio 4 : 7. How much does Dev get (in ₹)?
  9. 9.8 : 7 = 64 : ?
  10. 10.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  11. 11.Divide ₹65 between Vivaan and Priya in the ratio 9 : 4. How much does Vivaan get (in ₹)?
  12. 12.Divide ₹172 between Rohan and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.2 : 15 = 12 : ?
  15. 15.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  17. 17.7 : 14 = 49 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  19. 19.Divide ₹187 between Aarav and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  21. 21.11 : 2 = 44 : ?
  22. 22.Divide ₹364 between Diya and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  26. 26.6 : 9 = 42 : ?
  27. 27.5 : 13 = 35 : ?
  28. 28.Divide ₹517 between Ishaan and Rahul in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  30. 30.Divide ₹265 between Rahul and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
  31. 31.3 : 15 = 15 : ?
  32. 32.12 : 5 = 60 : ?
  33. 33.8 : 12 = 16 : ?
  34. 34.Divide ₹120 between Rahul and Saanvi in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.Divide ₹414 between Vivaan and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
  37. 37.12 : 10 = 108 : ?
  38. 38.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  39. 39.5 : 3 = 30 : ?
  40. 40.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).

Answer key

  1. 48
  2. 58
  3. 225
  4. 26
  5. 63
  6. 112
  7. 108
  8. 236
  9. 56
  10. 100
  11. 45
  12. 129
  13. 32
  14. 90
  15. 8
  16. 10
  17. 98
  18. 21
  19. 153
  20. 15
  21. 8
  22. 156
  23. 25
  24. 75
  25. 54
  26. 63
  27. 91
  28. 329
  29. 81
  30. 106
  31. 75
  32. 25
  33. 24
  34. 75
  35. 16
  36. 92
  37. 90
  38. 96
  39. 18
  40. 28

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