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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 86 · 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 7 : 3. There are 49 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  7. 7.Divide ₹496 between Farhan and Tara in the ratio 9 : 7. How much does Farhan get (in ₹)?
  8. 8.Divide ₹369 between Karan and Ishaan in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  10. 10.Divide ₹216 between Aarav and Isha in the ratio 1 : 3. How much does Isha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  12. 12.5 : 3 = 15 : ?
  13. 13.Divide ₹728 between Rohan and Farhan in the ratio 9 : 4. How much does Rohan get (in ₹)?
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.Divide ₹117 between Kavya and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  17. 17.4 : 11 = 8 : ?
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.Divide ₹132 between Pooja and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  22. 22.Divide ₹140 between Aditya and Pooja in the ratio 3 : 7. How much does Aditya get (in ₹)?
  23. 23.8 : 3 = 48 : ?
  24. 24.Divide ₹258 between Kabir and Pooja in the ratio 1 : 5. How much does Pooja get (in ₹)?
  25. 25.Divide ₹315 between Meera and Isha in the ratio 1 : 8. How much does Isha get (in ₹)?
  26. 26.Divide ₹174 between Tara and Dev in the ratio 1 : 2. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.7 : 9 = 28 : ?
  30. 30.11 : 5 = 33 : ?
  31. 31.7 : 6 = 35 : ?
  32. 32.9 : 11 = 18 : ?
  33. 33.11 : 2 = 77 : ?
  34. 34.Divide ₹187 between Ananya and Saanvi in the ratio 3 : 8. How much does Saanvi get (in ₹)?
  35. 35.4 : 14 = 8 : ?
  36. 36.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  38. 38.6 : 11 = 12 : ?
  39. 39.Divide ₹315 between Kavya and Aditya in the ratio 1 : 6. How much does Kavya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?

Answer key

  1. 21
  2. 7
  3. 144
  4. 8
  5. 6
  6. 27
  7. 279
  8. 287
  9. 4
  10. 162
  11. 15
  12. 9
  13. 504
  14. 125
  15. 39
  16. 49
  17. 22
  18. 50
  19. 54
  20. 112
  21. 99
  22. 42
  23. 18
  24. 215
  25. 280
  26. 58
  27. 45
  28. 28
  29. 36
  30. 15
  31. 30
  32. 22
  33. 14
  34. 136
  35. 28
  36. 15
  37. 30
  38. 22
  39. 45
  40. 24

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