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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 530 · 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 3 and 9 (that is, 3 : 9 = 9 : ?).
  2. 2.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  3. 3.3 : 2 = 15 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  5. 5.Divide ₹308 between Karan and Pooja in the ratio 3 : 4. How much does Pooja get (in ₹)?
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.5 : 4 = 25 : ?
  10. 10.2 : 5 = 8 : ?
  11. 11.12 : 5 = 24 : ?
  12. 12.4 : 10 = 16 : ?
  13. 13.Divide ₹450 between Ishaan and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  16. 16.4 : 2 = 16 : ?
  17. 17.Divide ₹612 between Farhan and Rohan in the ratio 9 : 8. How much does Farhan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.Divide ₹81 between Aarav and Isha in the ratio 8 : 1. How much does Aarav get (in ₹)?
  21. 21.12 : 2 = 60 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  25. 25.Divide ₹896 between Vivaan and Rahul in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  26. 26.2 : 15 = 14 : ?
  27. 27.Divide ₹440 between Dev and Diya in the ratio 8 : 3. How much does Dev get (in ₹)?
  28. 28.7 : 13 = 28 : ?
  29. 29.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  30. 30.Divide ₹225 between Isha and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  31. 31.Divide ₹240 between Rohan and Kavya in the ratio 9 : 1. How much does Kavya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  33. 33.Divide ₹616 between Aditya and Diya in the ratio 3 : 8. How much does Diya get (in ₹)?
  34. 34.Divide ₹510 between Dev and Sneha in the ratio 9 : 8. How much does Dev get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  36. 36.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  37. 37.3 : 14 = 15 : ?
  38. 38.Divide ₹266 between Arjun and Kavya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.3 : 11 = 12 : ?

Answer key

  1. 27
  2. 40
  3. 10
  4. 20
  5. 176
  6. 54
  7. 36
  8. 28
  9. 20
  10. 20
  11. 10
  12. 40
  13. 405
  14. 15
  15. 10
  16. 8
  17. 324
  18. 12
  19. 48
  20. 72
  21. 10
  22. 54
  23. 75
  24. 12
  25. 392
  26. 105
  27. 320
  28. 52
  29. 72
  30. 25
  31. 24
  32. 10
  33. 448
  34. 270
  35. 21
  36. 144
  37. 70
  38. 152
  39. 96
  40. 44

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