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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 382 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹80 between Pooja and Dev in the ratio 4 : 1. How much does Pooja get (in ₹)?
  2. 2.Divide ₹572 between Dev and Tara in the ratio 9 : 2. How much does Dev get (in ₹)?
  3. 3.4 : 11 = 12 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  6. 6.Divide ₹150 between Arjun and Tara in the ratio 3 : 2. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.8 : 13 = 72 : ?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  12. 12.Divide ₹767 between Arjun and Pooja in the ratio 9 : 4. How much does Pooja get (in ₹)?
  13. 13.Divide ₹252 between Aditya and Rohan in the ratio 5 : 2. How much does Aditya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  15. 15.3 : 4 = 27 : ?
  16. 16.Divide ₹100 between Rahul and Dev in the ratio 1 : 4. How much does Dev get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  18. 18.Divide ₹495 between Isha and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  19. 19.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  20. 20.12 : 4 = 48 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  23. 23.Divide ₹507 between Isha and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  24. 24.6 : 10 = 24 : ?
  25. 25.Divide ₹96 between Diya and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  28. 28.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  29. 29.6 : 13 = 36 : ?
  30. 30.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  31. 31.7 : 5 = 49 : ?
  32. 32.Divide ₹190 between Diya and Sneha in the ratio 1 : 9. How much does Sneha get (in ₹)?
  33. 33.3 : 9 = 21 : ?
  34. 34.Divide ₹320 between Farhan and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.Divide ₹30 between Sneha and Rahul in the ratio 1 : 4. How much does Sneha get (in ₹)?
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.Divide ₹132 between Aarav and Tara in the ratio 8 : 3. How much does Aarav get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  40. 40.Divide ₹520 between Farhan and Saanvi in the ratio 5 : 8. How much does Saanvi get (in ₹)?

Answer key

  1. 64
  2. 468
  3. 33
  4. 8
  5. 20
  6. 90
  7. 175
  8. 32
  9. 117
  10. 48
  11. 64
  12. 236
  13. 180
  14. 9
  15. 36
  16. 80
  17. 21
  18. 405
  19. 28
  20. 16
  21. 2
  22. 18
  23. 195
  24. 40
  25. 64
  26. 24
  27. 8
  28. 80
  29. 78
  30. 96
  31. 35
  32. 171
  33. 63
  34. 200
  35. 12
  36. 6
  37. 81
  38. 96
  39. 40
  40. 320

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