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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 276 · 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 2 : 1. There are 14 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  4. 4.Divide ₹110 between Diya and Farhan in the ratio 7 : 4. How much does Diya get (in ₹)?
  5. 5.2 : 7 = 12 : ?
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  8. 8.Divide ₹270 between Arjun and Ishaan in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  10. 10.10 : 12 = 30 : ?
  11. 11.Divide ₹180 between Zoya and Pooja in the ratio 4 : 5. How much does Pooja get (in ₹)?
  12. 12.5 : 3 = 40 : ?
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.11 : 5 = 44 : ?
  15. 15.Divide ₹78 between Rahul and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  16. 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  17. 17.Divide ₹220 between Rahul and Aditya in the ratio 1 : 3. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  21. 21.Divide ₹338 between Karan and Arjun in the ratio 6 : 7. How much does Arjun get (in ₹)?
  22. 22.4 : 5 = 32 : ?
  23. 23.3 : 7 = 9 : ?
  24. 24.Divide ₹385 between Farhan and Ishaan in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  25. 25.Divide ₹756 between Arjun and Dev in the ratio 9 : 5. How much does Dev get (in ₹)?
  26. 26.Divide ₹221 between Aarav and Isha in the ratio 8 : 5. How much does Aarav get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  28. 28.4 : 11 = 16 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  30. 30.Divide ₹390 between Aarav and Nisha in the ratio 8 : 7. How much does Aarav get (in ₹)?
  31. 31.2 : 4 = 18 : ?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  34. 34.Divide ₹540 between Saanvi and Karan in the ratio 3 : 7. How much does Karan get (in ₹)?
  35. 35.2 : 14 = 18 : ?
  36. 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  37. 37.Divide ₹165 between Farhan and Aditya in the ratio 2 : 3. How much does Farhan get (in ₹)?
  38. 38.Divide ₹217 between Pooja and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.6 : 12 = 18 : ?

Answer key

  1. 7
  2. 56
  3. 36
  4. 70
  5. 42
  6. 30
  7. 10
  8. 240
  9. 15
  10. 36
  11. 100
  12. 24
  13. 48
  14. 20
  15. 24
  16. 54
  17. 55
  18. 175
  19. 20
  20. 4
  21. 182
  22. 40
  23. 21
  24. 175
  25. 270
  26. 136
  27. 7
  28. 44
  29. 6
  30. 208
  31. 36
  32. 81
  33. 14
  34. 378
  35. 126
  36. 32
  37. 66
  38. 62
  39. 32
  40. 36

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