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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 510 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Divide ₹532 between Ishaan and Rahul in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  3. 3.Divide ₹126 between Pooja and Tara in the ratio 1 : 8. How much does Tara get (in ₹)?
  4. 4.Divide ₹63 between Ananya and Sneha in the ratio 3 : 4. How much does Sneha get (in ₹)?
  5. 5.8 : 2 = 24 : ?
  6. 6.Divide ₹320 between Rahul and Nisha in the ratio 5 : 3. How much does Rahul get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  8. 8.Divide ₹250 between Rahul and Karan in the ratio 1 : 4. How much does Rahul get (in ₹)?
  9. 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  11. 11.Divide ₹264 between Kabir and Sneha in the ratio 5 : 1. How much does Kabir get (in ₹)?
  12. 12.12 : 9 = 108 : ?
  13. 13.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  14. 14.12 : 14 = 72 : ?
  15. 15.Divide ₹342 between Karan and Pooja in the ratio 1 : 5. How much does Pooja get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  18. 18.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  19. 19.4 : 13 = 20 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  26. 26.Divide ₹350 between Rohan and Tara in the ratio 4 : 3. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  32. 32.12 : 9 = 24 : ?
  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 : 4. There are 45 boys. How many girls are there?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  37. 37.Divide ₹132 between Ishaan and Saanvi in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  38. 38.9 : 5 = 54 : ?
  39. 39.4 : 6 = 16 : ?
  40. 40.Divide ₹168 between Dev and Ananya in the ratio 9 : 5. How much does Dev get (in ₹)?

Answer key

  1. 50
  2. 342
  3. 112
  4. 36
  5. 6
  6. 200
  7. 6
  8. 50
  9. 28
  10. 225
  11. 220
  12. 81
  13. 6
  14. 84
  15. 285
  16. 7
  17. 27
  18. 7
  19. 65
  20. 21
  21. 70
  22. 24
  23. 54
  24. 42
  25. 2
  26. 150
  27. 70
  28. 175
  29. 63
  30. 16
  31. 40
  32. 18
  33. 144
  34. 36
  35. 64
  36. 36
  37. 22
  38. 30
  39. 24
  40. 108

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