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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 986 · 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.Divide ₹75 between Tara and Ishaan in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  3. 3.Divide ₹580 between Dev and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
  4. 4.5 : 3 = 10 : ?
  5. 5.Divide ₹27 between Arjun and Rohan in the ratio 2 : 1. How much does Rohan get (in ₹)?
  6. 6.Divide ₹265 between Kabir and Karan in the ratio 1 : 4. How much does Karan get (in ₹)?
  7. 7.Divide ₹115 between Kavya and Sneha in the ratio 4 : 1. How much does Kavya get (in ₹)?
  8. 8.Divide ₹315 between Aarav and Ananya in the ratio 4 : 3. How much does Ananya get (in ₹)?
  9. 9.3 : 2 = 21 : ?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  12. 12.Divide ₹65 between Saanvi and Rahul in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  13. 13.4 : 13 = 28 : ?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  18. 18.9 : 2 = 63 : ?
  19. 19.11 : 2 = 22 : ?
  20. 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.Divide ₹168 between Aditya and Sneha in the ratio 3 : 1. How much does Aditya get (in ₹)?
  25. 25.Divide ₹676 between Sneha and Dev in the ratio 8 : 5. How much does Dev get (in ₹)?
  26. 26.Divide ₹686 between Pooja and Dev in the ratio 5 : 9. How much does Pooja get (in ₹)?
  27. 27.8 : 15 = 32 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  30. 30.Divide ₹351 between Rahul and Dev in the ratio 7 : 6. How much does Dev get (in ₹)?
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.9 : 6 = 81 : ?
  33. 33.12 : 7 = 84 : ?
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.2 : 5 = 18 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  37. 37.Divide ₹154 between Aarav and Farhan in the ratio 6 : 1. How much does Farhan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  39. 39.Divide ₹182 between Kabir and Aarav in the ratio 3 : 4. How much does Aarav get (in ₹)?
  40. 40.9 : 4 = 54 : ?

Answer key

  1. 40
  2. 15
  3. 522
  4. 6
  5. 9
  6. 212
  7. 92
  8. 135
  9. 14
  10. 36
  11. 32
  12. 39
  13. 91
  14. 63
  15. 12
  16. 40
  17. 20
  18. 14
  19. 4
  20. 128
  21. 12
  22. 5
  23. 112
  24. 126
  25. 260
  26. 245
  27. 60
  28. 40
  29. 9
  30. 162
  31. 32
  32. 54
  33. 49
  34. 81
  35. 45
  36. 56
  37. 22
  38. 4
  39. 104
  40. 24

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