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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 999 · 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 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  6. 6.10 : 2 = 50 : ?
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.6 : 9 = 36 : ?
  9. 9.5 : 8 = 25 : ?
  10. 10.9 : 2 = 81 : ?
  11. 11.Divide ₹330 between Pooja and Kavya in the ratio 8 : 3. How much does Kavya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  13. 13.Divide ₹459 between Rahul and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.Divide ₹240 between Ishaan and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  17. 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  18. 18.Divide ₹99 between Pooja and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  20. 20.Divide ₹90 between Aarav and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  21. 21.Divide ₹80 between Rohan and Sneha in the ratio 1 : 9. How much does Rohan get (in ₹)?
  22. 22.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  23. 23.12 : 11 = 72 : ?
  24. 24.Divide ₹252 between Ishaan and Arjun in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  25. 25.Divide ₹195 between Sneha and Saanvi in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  27. 27.Divide ₹160 between Ananya and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  29. 29.Divide ₹330 between Kavya and Diya in the ratio 8 : 7. How much does Kavya get (in ₹)?
  30. 30.Divide ₹27 between Diya and Kabir in the ratio 1 : 2. How much does Diya get (in ₹)?
  31. 31.5 : 8 = 40 : ?
  32. 32.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  33. 33.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  36. 36.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  37. 37.3 : 14 = 15 : ?
  38. 38.Divide ₹98 between Priya and Manav in the ratio 5 : 2. How much does Manav get (in ₹)?
  39. 39.10 : 9 = 30 : ?
  40. 40.Divide ₹180 between Rohan and Karan in the ratio 5 : 4. How much does Karan get (in ₹)?

Answer key

  1. 128
  2. 12
  3. 27
  4. 10
  5. 28
  6. 10
  7. 100
  8. 54
  9. 40
  10. 18
  11. 90
  12. 6
  13. 51
  14. 40
  15. 48
  16. 216
  17. 125
  18. 33
  19. 12
  20. 75
  21. 8
  22. 20
  23. 66
  24. 140
  25. 120
  26. 8
  27. 128
  28. 72
  29. 176
  30. 9
  31. 64
  32. 27
  33. 144
  34. 4
  35. 36
  36. 63
  37. 70
  38. 28
  39. 27
  40. 80

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