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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 652 · 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.Divide ₹840 between Nisha and Sneha in the ratio 8 : 7. How much does Sneha get (in ₹)?
  2. 2.Divide ₹140 between Sneha and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  5. 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  8. 8.Divide ₹440 between Kabir and Manav in the ratio 7 : 4. How much does Kabir get (in ₹)?
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  11. 11.7 : 6 = 63 : ?
  12. 12.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  13. 13.Divide ₹252 between Priya and Diya in the ratio 9 : 5. How much does Priya get (in ₹)?
  14. 14.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  16. 16.Divide ₹225 between Farhan and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
  17. 17.Divide ₹36 between Nisha and Aarav in the ratio 3 : 1. How much does Nisha get (in ₹)?
  18. 18.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  19. 19.5 : 12 = 10 : ?
  20. 20.6 : 5 = 12 : ?
  21. 21.Divide ₹294 between Vivaan and Saanvi in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  22. 22.9 : 7 = 45 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  24. 24.Divide ₹117 between Priya and Meera in the ratio 4 : 9. How much does Priya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  27. 27.Divide ₹595 between Tara and Diya in the ratio 8 : 9. How much does Tara get (in ₹)?
  28. 28.Divide ₹143 between Kabir and Rohan in the ratio 8 : 3. How much does Rohan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  30. 30.Divide ₹60 between Sneha and Ishaan in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  31. 31.2 : 9 = 6 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.Divide ₹275 between Saanvi and Zoya in the ratio 8 : 3. How much does Zoya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  36. 36.Divide ₹504 between Ananya and Dev in the ratio 1 : 8. How much does Ananya get (in ₹)?
  37. 37.5 : 11 = 25 : ?
  38. 38.Divide ₹88 between Ishaan and Pooja in the ratio 3 : 8. How much does Ishaan get (in ₹)?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.Divide ₹96 between Vivaan and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?

Answer key

  1. 392
  2. 60
  3. 72
  4. 144
  5. 45
  6. 15
  7. 24
  8. 280
  9. 64
  10. 14
  11. 54
  12. 10
  13. 162
  14. 225
  15. 40
  16. 105
  17. 27
  18. 36
  19. 24
  20. 10
  21. 245
  22. 35
  23. 10
  24. 36
  25. 4
  26. 30
  27. 280
  28. 39
  29. 16
  30. 50
  31. 27
  32. 24
  33. 125
  34. 75
  35. 14
  36. 56
  37. 55
  38. 24
  39. 75
  40. 84

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