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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 287 · 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. 1.12 : 10 = 36 : ?
  2. 2.11 : 4 = 44 : ?
  3. 3.Divide ₹280 between Rahul and Vivaan in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  5. 5.Divide ₹216 between Rahul and Rohan in the ratio 7 : 1. How much does Rahul get (in ₹)?
  6. 6.Divide ₹200 between Ananya and Zoya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  10. 10.Divide ₹45 between Kabir and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  11. 11.Divide ₹261 between Zoya and Meera in the ratio 4 : 5. How much does Meera get (in ₹)?
  12. 12.Divide ₹27 between Karan and Pooja in the ratio 2 : 1. How much does Karan get (in ₹)?
  13. 13.11 : 8 = 55 : ?
  14. 14.9 : 15 = 54 : ?
  15. 15.Divide ₹896 between Meera and Pooja in the ratio 7 : 9. How much does Pooja get (in ₹)?
  16. 16.4 : 9 = 16 : ?
  17. 17.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  18. 18.Divide ₹324 between Pooja and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  21. 21.12 : 4 = 24 : ?
  22. 22.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  23. 23.Divide ₹42 between Kabir and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  25. 25.Divide ₹52 between Aarav and Sneha in the ratio 1 : 3. How much does Sneha get (in ₹)?
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.Divide ₹169 between Meera and Aditya in the ratio 6 : 7. How much does Meera get (in ₹)?
  28. 28.Divide ₹423 between Rohan and Aarav in the ratio 2 : 7. How much does Rohan get (in ₹)?
  29. 29.Divide ₹185 between Farhan and Kabir in the ratio 2 : 3. How much does Farhan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.2 : 10 = 8 : ?
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.3 : 9 = 9 : ?
  35. 35.Divide ₹286 between Rahul and Kabir in the ratio 7 : 4. How much does Rahul get (in ₹)?
  36. 36.Divide ₹100 between Manav and Kabir in the ratio 3 : 1. How much does Manav get (in ₹)?
  37. 37.Divide ₹387 between Nisha and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  39. 39.2 : 12 = 16 : ?
  40. 40.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).

Answer key

  1. 30
  2. 16
  3. 35
  4. 30
  5. 189
  6. 75
  7. 175
  8. 48
  9. 15
  10. 27
  11. 145
  12. 18
  13. 40
  14. 90
  15. 504
  16. 36
  17. 24
  18. 189
  19. 36
  20. 81
  21. 8
  22. 28
  23. 12
  24. 4
  25. 39
  26. 112
  27. 78
  28. 94
  29. 74
  30. 21
  31. 81
  32. 40
  33. 27
  34. 27
  35. 182
  36. 75
  37. 301
  38. 6
  39. 96
  40. 75

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