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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 31 · 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.Divide ₹108 between Vivaan and Tara in the ratio 4 : 5. How much does Vivaan get (in ₹)?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  6. 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  9. 9.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  14. 14.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  15. 15.2 : 13 = 8 : ?
  16. 16.Divide ₹250 between Dev and Kabir in the ratio 4 : 1. How much does Dev get (in ₹)?
  17. 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  19. 19.Divide ₹297 between Zoya and Sneha in the ratio 7 : 2. How much does Zoya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  22. 22.Divide ₹187 between Ishaan and Rahul in the ratio 9 : 2. How much does Ishaan get (in ₹)?
  23. 23.3 : 13 = 15 : ?
  24. 24.Divide ₹627 between Saanvi and Kabir in the ratio 3 : 8. How much does Saanvi get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.Divide ₹207 between Karan and Isha in the ratio 1 : 8. How much does Isha get (in ₹)?
  28. 28.Divide ₹595 between Ishaan and Rahul in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  29. 29.7 : 12 = 49 : ?
  30. 30.5 : 4 = 20 : ?
  31. 31.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  33. 33.3 : 2 = 12 : ?
  34. 34.2 : 9 = 18 : ?
  35. 35.Divide ₹450 between Pooja and Ananya in the ratio 7 : 8. How much does Ananya get (in ₹)?
  36. 36.Divide ₹240 between Saanvi and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  37. 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  38. 38.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  40. 40.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).

Answer key

  1. 48
  2. 20
  3. 15
  4. 8
  5. 125
  6. 48
  7. 54
  8. 8
  9. 225
  10. 24
  11. 32
  12. 25
  13. 6
  14. 144
  15. 52
  16. 200
  17. 27
  18. 32
  19. 231
  20. 10
  21. 70
  22. 153
  23. 65
  24. 171
  25. 30
  26. 96
  27. 184
  28. 280
  29. 84
  30. 16
  31. 75
  32. 90
  33. 8
  34. 81
  35. 240
  36. 144
  37. 16
  38. 12
  39. 9
  40. 112

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