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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 812 · 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.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  2. 2.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  4. 4.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.Divide ₹147 between Aditya and Kavya in the ratio 1 : 6. How much does Aditya get (in ₹)?
  9. 9.9 : 7 = 54 : ?
  10. 10.Divide ₹252 between Diya and Saanvi in the ratio 7 : 2. How much does Diya get (in ₹)?
  11. 11.Divide ₹624 between Aarav and Priya in the ratio 8 : 5. How much does Aarav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  13. 13.Divide ₹159 between Rohan and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
  14. 14.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  15. 15.Divide ₹168 between Arjun and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?
  16. 16.3 : 12 = 12 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  20. 20.Divide ₹416 between Farhan and Sneha in the ratio 1 : 7. How much does Sneha get (in ₹)?
  21. 21.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  22. 22.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  23. 23.Divide ₹320 between Tara and Kavya in the ratio 1 : 7. How much does Tara get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  26. 26.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  30. 30.3 : 2 = 12 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  32. 32.Divide ₹153 between Isha and Diya in the ratio 9 : 8. How much does Isha get (in ₹)?
  33. 33.3 : 10 = 27 : ?
  34. 34.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  36. 36.3 : 9 = 15 : ?
  37. 37.Divide ₹154 between Pooja and Meera in the ratio 5 : 9. How much does Pooja get (in ₹)?
  38. 38.5 : 11 = 15 : ?
  39. 39.Divide ₹484 between Meera and Rohan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  40. 40.Divide ₹560 between Aditya and Sneha in the ratio 9 : 1. How much does Sneha get (in ₹)?

Answer key

  1. 24
  2. 10
  3. 36
  4. 144
  5. 18
  6. 45
  7. 32
  8. 21
  9. 42
  10. 196
  11. 384
  12. 30
  13. 106
  14. 81
  15. 98
  16. 48
  17. 24
  18. 175
  19. 35
  20. 364
  21. 45
  22. 28
  23. 40
  24. 10
  25. 10
  26. 150
  27. 80
  28. 4
  29. 28
  30. 8
  31. 12
  32. 81
  33. 90
  34. 16
  35. 18
  36. 45
  37. 55
  38. 33
  39. 176
  40. 56

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