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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 610 · 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 ₹135 between Vivaan and Priya in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  7. 7.Divide ₹220 between Diya and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  8. 8.4 : 2 = 28 : ?
  9. 9.Divide ₹126 between Farhan and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  10. 10.Divide ₹720 between Tara and Diya in the ratio 7 : 9. How much does Diya get (in ₹)?
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  13. 13.2 : 14 = 14 : ?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.Divide ₹215 between Meera and Karan in the ratio 2 : 3. How much does Meera get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  18. 18.Divide ₹396 between Ishaan and Aditya in the ratio 4 : 7. How much does Ishaan get (in ₹)?
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.10 : 11 = 30 : ?
  21. 21.Divide ₹429 between Rahul and Sneha in the ratio 6 : 5. How much does Sneha get (in ₹)?
  22. 22.8 : 5 = 48 : ?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.7 : 8 = 35 : ?
  25. 25.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  26. 26.Divide ₹132 between Manav and Diya in the ratio 2 : 9. How much does Diya get (in ₹)?
  27. 27.Divide ₹330 between Saanvi and Manav in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  28. 28.10 : 3 = 90 : ?
  29. 29.9 : 15 = 18 : ?
  30. 30.Divide ₹175 between Ananya and Aarav in the ratio 2 : 5. How much does Aarav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  34. 34.Divide ₹123 between Rohan and Pooja in the ratio 2 : 1. How much does Rohan get (in ₹)?
  35. 35.Divide ₹111 between Meera and Ananya in the ratio 2 : 1. How much does Meera get (in ₹)?
  36. 36.Divide ₹638 between Farhan and Tara in the ratio 8 : 3. How much does Farhan 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 5 : 4. There are 25 boys. How many girls are there?
  39. 39.Divide ₹185 between Priya and Saanvi in the ratio 2 : 3. How much does Saanvi get (in ₹)?
  40. 40.Divide ₹168 between Aditya and Zoya in the ratio 5 : 2. How much does Zoya get (in ₹)?

Answer key

  1. 90
  2. 24
  3. 18
  4. 54
  5. 175
  6. 30
  7. 44
  8. 14
  9. 84
  10. 405
  11. 50
  12. 24
  13. 98
  14. 100
  15. 86
  16. 5
  17. 36
  18. 144
  19. 112
  20. 33
  21. 195
  22. 30
  23. 75
  24. 40
  25. 8
  26. 108
  27. 60
  28. 27
  29. 30
  30. 125
  31. 35
  32. 36
  33. 200
  34. 82
  35. 74
  36. 464
  37. 16
  38. 20
  39. 111
  40. 48

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