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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 218 · 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 ₹252 between Aditya and Kabir in the ratio 5 : 2. How much does Aditya get (in ₹)?
  2. 2.7 : 15 = 21 : ?
  3. 3.Divide ₹105 between Sneha and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.Divide ₹150 between Rahul and Meera in the ratio 3 : 2. How much does Rahul get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  8. 8.Divide ₹224 between Aditya and Zoya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  10. 10.8 : 12 = 56 : ?
  11. 11.8 : 15 = 56 : ?
  12. 12.Divide ₹864 between Nisha and Rohan in the ratio 7 : 9. How much does Nisha get (in ₹)?
  13. 13.5 : 8 = 40 : ?
  14. 14.Divide ₹189 between Meera and Priya in the ratio 5 : 4. How much does Meera get (in ₹)?
  15. 15.3 : 2 = 12 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  17. 17.Divide ₹108 between Arjun and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  18. 18.Divide ₹42 between Manav and Kabir in the ratio 5 : 2. How much does Manav get (in ₹)?
  19. 19.8 : 11 = 24 : ?
  20. 20.2 : 6 = 14 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.Divide ₹384 between Saanvi and Arjun in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  25. 25.4 : 12 = 12 : ?
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  29. 29.3 : 2 = 6 : ?
  30. 30.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.3 : 11 = 12 : ?
  33. 33.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.Divide ₹120 between Zoya and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  38. 38.Divide ₹121 between Kabir and Saanvi in the ratio 8 : 3. How much does Kabir get (in ₹)?
  39. 39.Divide ₹406 between Rahul and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?

Answer key

  1. 180
  2. 45
  3. 42
  4. 18
  5. 90
  6. 20
  7. 30
  8. 126
  9. 18
  10. 84
  11. 105
  12. 378
  13. 64
  14. 105
  15. 8
  16. 4
  17. 12
  18. 30
  19. 33
  20. 42
  21. 40
  22. 45
  23. 48
  24. 6
  25. 36
  26. 96
  27. 48
  28. 10
  29. 4
  30. 128
  31. 32
  32. 44
  33. 28
  34. 16
  35. 27
  36. 70
  37. 10
  38. 88
  39. 290
  40. 63

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