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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 599 · 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 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.2 : 14 = 8 : ?
  3. 3.Divide ₹350 between Saanvi and Nisha in the ratio 2 : 5. How much does Nisha get (in ₹)?
  4. 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  5. 5.3 : 6 = 21 : ?
  6. 6.Divide ₹280 between Manav and Aarav in the ratio 2 : 3. How much does Aarav get (in ₹)?
  7. 7.8 : 10 = 40 : ?
  8. 8.2 : 3 = 12 : ?
  9. 9.11 : 6 = 77 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  11. 11.Divide ₹368 between Sneha and Kabir in the ratio 3 : 5. How much does Sneha get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  13. 13.Divide ₹125 between Rahul and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  14. 14.Divide ₹112 between Karan and Priya in the ratio 7 : 9. How much does Priya get (in ₹)?
  15. 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  16. 16.Divide ₹315 between Karan and Aarav in the ratio 5 : 4. How much does Aarav get (in ₹)?
  17. 17.Divide ₹308 between Aarav and Saanvi in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  18. 18.Divide ₹300 between Sneha and Manav in the ratio 7 : 5. How much does Manav get (in ₹)?
  19. 19.8 : 5 = 24 : ?
  20. 20.Divide ₹196 between Aarav and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.11 : 3 = 22 : ?
  23. 23.3 : 11 = 27 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  25. 25.Divide ₹72 between Vivaan and Dev in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  26. 26.8 : 10 = 72 : ?
  27. 27.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  28. 28.Divide ₹132 between Arjun and Dev in the ratio 2 : 9. How much does Arjun get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  30. 30.Divide ₹35 between Kabir and Zoya in the ratio 2 : 3. How much does Kabir get (in ₹)?
  31. 31.10 : 12 = 80 : ?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  34. 34.Divide ₹416 between Isha and Priya in the ratio 5 : 8. How much does Isha get (in ₹)?
  35. 35.2 : 5 = 8 : ?
  36. 36.3 : 4 = 12 : ?
  37. 37.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  38. 38.Divide ₹228 between Farhan and Tara in the ratio 3 : 1. How much does Farhan get (in ₹)?
  39. 39.4 : 10 = 32 : ?
  40. 40.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).

Answer key

  1. 100
  2. 56
  3. 250
  4. 125
  5. 42
  6. 168
  7. 50
  8. 18
  9. 42
  10. 12
  11. 138
  12. 35
  13. 50
  14. 63
  15. 8
  16. 140
  17. 252
  18. 125
  19. 15
  20. 70
  21. 12
  22. 6
  23. 99
  24. 32
  25. 63
  26. 90
  27. 18
  28. 24
  29. 40
  30. 14
  31. 96
  32. 80
  33. 16
  34. 160
  35. 20
  36. 16
  37. 112
  38. 171
  39. 80
  40. 200

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