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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 899 · 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 7 : 1. There are 70 boys. How many girls are there?
  2. 2.Divide ₹64 between Tara and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  4. 4.Divide ₹816 between Karan and Pooja in the ratio 9 : 7. How much does Karan get (in ₹)?
  5. 5.3 : 12 = 15 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  8. 8.Divide ₹371 between Rohan and Aarav in the ratio 5 : 2. How much does Aarav get (in ₹)?
  9. 9.3 : 6 = 9 : ?
  10. 10.5 : 15 = 20 : ?
  11. 11.5 : 13 = 45 : ?
  12. 12.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  13. 13.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  14. 14.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  15. 15.3 : 10 = 27 : ?
  16. 16.Divide ₹517 between Pooja and Priya in the ratio 3 : 8. How much does Priya get (in ₹)?
  17. 17.Divide ₹132 between Ananya and Rahul in the ratio 8 : 3. How much does Ananya get (in ₹)?
  18. 18.4 : 5 = 36 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  20. 20.Divide ₹36 between Aditya and Nisha in the ratio 1 : 2. How much does Aditya get (in ₹)?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.5 : 14 = 45 : ?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  26. 26.3 : 11 = 27 : ?
  27. 27.Divide ₹168 between Aditya and Manav in the ratio 1 : 2. How much does Aditya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  30. 30.Divide ₹190 between Ananya and Meera in the ratio 7 : 3. How much does Ananya get (in ₹)?
  31. 31.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  32. 32.Divide ₹432 between Rohan and Sneha in the ratio 3 : 5. How much does Rohan get (in ₹)?
  33. 33.Divide ₹54 between Priya and Meera in the ratio 2 : 7. How much does Meera get (in ₹)?
  34. 34.12 : 8 = 48 : ?
  35. 35.Divide ₹81 between Aditya and Karan in the ratio 1 : 8. How much does Aditya get (in ₹)?
  36. 36.Divide ₹312 between Kabir and Sneha in the ratio 7 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹33 between Priya and Diya in the ratio 1 : 2. How much does Priya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?

Answer key

  1. 10
  2. 48
  3. 8
  4. 459
  5. 60
  6. 4
  7. 12
  8. 106
  9. 18
  10. 60
  11. 117
  12. 36
  13. 112
  14. 40
  15. 90
  16. 376
  17. 96
  18. 45
  19. 10
  20. 12
  21. 8
  22. 12
  23. 126
  24. 36
  25. 72
  26. 99
  27. 56
  28. 56
  29. 24
  30. 133
  31. 64
  32. 162
  33. 42
  34. 32
  35. 9
  36. 273
  37. 11
  38. 4
  39. 40
  40. 30

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