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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 889 · 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 1 : 6. There are 5 boys. How many girls are there?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.Divide ₹720 between Rohan and Tara in the ratio 7 : 9. How much does Rohan get (in ₹)?
  5. 5.Divide ₹540 between Pooja and Zoya in the ratio 1 : 9. How much does Pooja get (in ₹)?
  6. 6.Divide ₹560 between Tara and Pooja in the ratio 9 : 1. How much does Tara get (in ₹)?
  7. 7.11 : 4 = 55 : ?
  8. 8.3 : 15 = 27 : ?
  9. 9.9 : 7 = 81 : ?
  10. 10.6 : 5 = 12 : ?
  11. 11.12 : 15 = 36 : ?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹245 between Farhan and Kavya in the ratio 3 : 4. How much does Farhan get (in ₹)?
  14. 14.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  15. 15.8 : 13 = 16 : ?
  16. 16.Divide ₹440 between Sneha and Rohan in the ratio 4 : 7. How much does Sneha get (in ₹)?
  17. 17.Divide ₹116 between Isha and Karan in the ratio 3 : 1. How much does Karan get (in ₹)?
  18. 18.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  19. 19.Divide ₹216 between Ishaan and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  20. 20.6 : 13 = 48 : ?
  21. 21.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  22. 22.Divide ₹39 between Rahul and Aditya in the ratio 2 : 1. How much does Rahul get (in ₹)?
  23. 23.4 : 11 = 20 : ?
  24. 24.Divide ₹354 between Isha and Aarav in the ratio 1 : 5. How much does Aarav get (in ₹)?
  25. 25.Divide ₹84 between Pooja and Rohan in the ratio 5 : 1. How much does Pooja get (in ₹)?
  26. 26.12 : 10 = 108 : ?
  27. 27.Divide ₹150 between Karan and Rohan in the ratio 3 : 7. How much does Rohan get (in ₹)?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.6 : 8 = 18 : ?
  30. 30.4 : 5 = 20 : ?
  31. 31.Divide ₹432 between Karan and Manav in the ratio 5 : 3. How much does Manav get (in ₹)?
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.Divide ₹195 between Aditya and Arjun in the ratio 4 : 9. How much does Aditya get (in ₹)?
  34. 34.10 : 6 = 30 : ?
  35. 35.6 : 8 = 42 : ?
  36. 36.9 : 8 = 36 : ?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  39. 39.8 : 4 = 48 : ?
  40. 40.Divide ₹286 between Kavya and Diya in the ratio 4 : 7. How much does Diya get (in ₹)?

Answer key

  1. 30
  2. 12
  3. 24
  4. 315
  5. 54
  6. 504
  7. 20
  8. 135
  9. 63
  10. 10
  11. 45
  12. 150
  13. 105
  14. 72
  15. 26
  16. 160
  17. 29
  18. 80
  19. 96
  20. 104
  21. 125
  22. 26
  23. 55
  24. 295
  25. 70
  26. 90
  27. 105
  28. 32
  29. 24
  30. 25
  31. 162
  32. 28
  33. 60
  34. 18
  35. 56
  36. 32
  37. 54
  38. 36
  39. 24
  40. 182

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