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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 903 · 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).

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  1. 1.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  3. 3.Divide ₹99 between Aarav and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.5 : 14 = 25 : ?
  6. 6.8 : 15 = 56 : ?
  7. 7.Divide ₹95 between Aarav and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.7 : 13 = 49 : ?
  10. 10.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  11. 11.4 : 3 = 32 : ?
  12. 12.Divide ₹663 between Kabir and Rohan in the ratio 7 : 6. How much does Kabir get (in ₹)?
  13. 13.Divide ₹136 between Sneha and Pooja in the ratio 1 : 7. How much does Sneha get (in ₹)?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  16. 16.Divide ₹24 between Saanvi and Rohan in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  17. 17.4 : 10 = 24 : ?
  18. 18.Divide ₹156 between Kavya and Ishaan in the ratio 8 : 5. How much does Kavya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  20. 20.10 : 8 = 70 : ?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.Divide ₹517 between Manav and Diya in the ratio 3 : 8. How much does Manav get (in ₹)?
  23. 23.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  25. 25.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  26. 26.Divide ₹165 between Rahul and Zoya in the ratio 1 : 4. How much does Rahul get (in ₹)?
  27. 27.Divide ₹165 between Dev and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  29. 29.Divide ₹637 between Ishaan and Farhan in the ratio 7 : 6. How much does Farhan get (in ₹)?
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  32. 32.10 : 7 = 60 : ?
  33. 33.3 : 5 = 15 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  35. 35.7 : 9 = 49 : ?
  36. 36.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  37. 37.Divide ₹340 between Manav and Aditya in the ratio 1 : 9. How much does Aditya get (in ₹)?
  38. 38.Divide ₹70 between Kabir and Diya in the ratio 5 : 9. How much does Kabir get (in ₹)?
  39. 39.2 : 10 = 12 : ?
  40. 40.Divide ₹320 between Farhan and Pooja in the ratio 7 : 1. How much does Pooja get (in ₹)?

Answer key

  1. 27
  2. 80
  3. 27
  4. 50
  5. 70
  6. 105
  7. 38
  8. 96
  9. 91
  10. 4
  11. 24
  12. 357
  13. 17
  14. 64
  15. 5
  16. 18
  17. 60
  18. 96
  19. 9
  20. 56
  21. 175
  22. 141
  23. 27
  24. 4
  25. 125
  26. 33
  27. 33
  28. 35
  29. 294
  30. 28
  31. 60
  32. 42
  33. 25
  34. 24
  35. 63
  36. 16
  37. 306
  38. 25
  39. 60
  40. 40

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