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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 528 · 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 6 : 1. There are 24 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.Divide ₹299 between Farhan and Aditya in the ratio 4 : 9. How much does Aditya get (in ₹)?
  5. 5.6 : 12 = 30 : ?
  6. 6.7 : 4 = 56 : ?
  7. 7.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  9. 9.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  12. 12.2 : 14 = 14 : ?
  13. 13.4 : 3 = 32 : ?
  14. 14.Divide ₹165 between Tara and Kabir in the ratio 6 : 5. How much does Kabir get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  16. 16.9 : 13 = 63 : ?
  17. 17.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  18. 18.7 : 2 = 28 : ?
  19. 19.Divide ₹374 between Ananya and Tara in the ratio 8 : 3. How much does Ananya get (in ₹)?
  20. 20.Divide ₹176 between Aditya and Rahul in the ratio 1 : 7. How much does Aditya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
  23. 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  25. 25.Divide ₹150 between Rahul and Sneha in the ratio 7 : 3. How much does Sneha get (in ₹)?
  26. 26.Divide ₹280 between Kavya and Saanvi in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  27. 27.8 : 9 = 16 : ?
  28. 28.3 : 10 = 27 : ?
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  30. 30.Divide ₹442 between Aarav and Diya in the ratio 8 : 9. How much does Diya get (in ₹)?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.2 : 11 = 12 : ?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.Divide ₹152 between Rohan and Karan in the ratio 1 : 3. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  38. 38.5 : 9 = 25 : ?
  39. 39.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  40. 40.Divide ₹99 between Farhan and Saanvi in the ratio 2 : 7. How much does Farhan get (in ₹)?

Answer key

  1. 4
  2. 20
  3. 63
  4. 207
  5. 60
  6. 32
  7. 35
  8. 45
  9. 12
  10. 50
  11. 6
  12. 98
  13. 24
  14. 75
  15. 8
  16. 91
  17. 15
  18. 8
  19. 272
  20. 22
  21. 56
  22. 30
  23. 16
  24. 45
  25. 45
  26. 84
  27. 18
  28. 90
  29. 24
  30. 234
  31. 8
  32. 40
  33. 18
  34. 66
  35. 64
  36. 38
  37. 72
  38. 45
  39. 3
  40. 22

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