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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 848 · 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 ₹387 between Isha and Pooja in the ratio 1 : 8. How much does Pooja get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  3. 3.Divide ₹594 between Priya and Diya in the ratio 4 : 7. How much does Diya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  5. 5.Divide ₹728 between Diya and Sneha in the ratio 5 : 9. How much does Diya get (in ₹)?
  6. 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  7. 7.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  9. 9.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  10. 10.3 : 10 = 6 : ?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  15. 15.11 : 9 = 44 : ?
  16. 16.12 : 6 = 24 : ?
  17. 17.9 : 6 = 18 : ?
  18. 18.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  19. 19.Divide ₹350 between Isha and Farhan in the ratio 1 : 6. How much does Farhan get (in ₹)?
  20. 20.Divide ₹81 between Karan and Meera in the ratio 2 : 7. How much does Meera get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  22. 22.3 : 2 = 18 : ?
  23. 23.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  24. 24.11 : 7 = 77 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  26. 26.4 : 3 = 16 : ?
  27. 27.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.Divide ₹253 between Meera and Priya in the ratio 7 : 4. How much does Priya get (in ₹)?
  32. 32.Divide ₹80 between Saanvi and Zoya in the ratio 7 : 1. How much does Zoya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  34. 34.3 : 5 = 18 : ?
  35. 35.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  36. 36.Divide ₹826 between Zoya and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  37. 37.5 : 8 = 45 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  39. 39.Divide ₹162 between Tara and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
  40. 40.8 : 7 = 72 : ?

Answer key

  1. 344
  2. 36
  3. 378
  4. 30
  5. 260
  6. 64
  7. 64
  8. 20
  9. 125
  10. 20
  11. 16
  12. 12
  13. 14
  14. 5
  15. 36
  16. 12
  17. 12
  18. 100
  19. 300
  20. 63
  21. 28
  22. 12
  23. 96
  24. 49
  25. 16
  26. 12
  27. 30
  28. 56
  29. 64
  30. 32
  31. 92
  32. 10
  33. 4
  34. 30
  35. 75
  36. 295
  37. 72
  38. 18
  39. 108
  40. 63

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