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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 553 · 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 6 : 5. There are 54 boys. How many girls are there?
  2. 2.Divide ₹518 between Meera and Aarav in the ratio 9 : 5. How much does Meera get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  4. 4.Divide ₹280 between Ananya and Manav in the ratio 1 : 7. How much does Ananya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  6. 6.Divide ₹65 between Manav and Saanvi in the ratio 5 : 8. How much does Manav get (in ₹)?
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  9. 9.Divide ₹198 between Karan and Ananya in the ratio 3 : 8. How much does Karan get (in ₹)?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.3 : 12 = 15 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  14. 14.Divide ₹143 between Kabir and Priya in the ratio 6 : 5. How much does Kabir get (in ₹)?
  15. 15.11 : 15 = 44 : ?
  16. 16.Divide ₹248 between Ananya and Ishaan in the ratio 3 : 5. How much does Ishaan get (in ₹)?
  17. 17.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  18. 18.Divide ₹580 between Nisha and Manav in the ratio 7 : 3. How much does Manav get (in ₹)?
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  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 1 : 6. There are 4 boys. How many girls are there?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.Divide ₹95 between Rohan and Ananya in the ratio 1 : 4. How much does Ananya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.Divide ₹120 between Sneha and Ananya in the ratio 3 : 7. How much does Sneha get (in ₹)?
  29. 29.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.10 : 4 = 20 : ?
  32. 32.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  33. 33.Divide ₹425 between Sneha and Kabir in the ratio 9 : 8. How much does Sneha get (in ₹)?
  34. 34.11 : 9 = 44 : ?
  35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  36. 36.Divide ₹300 between Vivaan and Rahul in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹44 between Dev and Rohan in the ratio 1 : 3. How much does Dev get (in ₹)?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.Divide ₹330 between Arjun and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  40. 40.5 : 6 = 20 : ?

Answer key

  1. 45
  2. 333
  3. 5
  4. 35
  5. 24
  6. 25
  7. 32
  8. 7
  9. 54
  10. 48
  11. 60
  12. 3
  13. 9
  14. 78
  15. 60
  16. 155
  17. 32
  18. 174
  19. 20
  20. 128
  21. 24
  22. 24
  23. 76
  24. 64
  25. 15
  26. 49
  27. 45
  28. 36
  29. 112
  30. 18
  31. 8
  32. 63
  33. 225
  34. 36
  35. 150
  36. 30
  37. 11
  38. 8
  39. 99
  40. 24

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