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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 654 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹518 between Priya and Ishaan in the ratio 5 : 9. How much does Ishaan get (in ₹)?
  2. 2.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  3. 3.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  4. 4.4 : 8 = 16 : ?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  7. 7.Divide ₹153 between Priya and Diya in the ratio 2 : 7. How much does Priya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  9. 9.8 : 12 = 48 : ?
  10. 10.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  11. 11.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  14. 14.2 : 7 = 18 : ?
  15. 15.Divide ₹504 between Rahul and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  16. 16.12 : 2 = 48 : ?
  17. 17.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  21. 21.Divide ₹252 between Rohan and Karan in the ratio 5 : 1. How much does Karan get (in ₹)?
  22. 22.Divide ₹120 between Pooja and Aditya in the ratio 7 : 8. How much does Pooja get (in ₹)?
  23. 23.Divide ₹164 between Priya and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  29. 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  31. 31.8 : 2 = 56 : ?
  32. 32.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  33. 33.Divide ₹320 between Meera and Dev in the ratio 1 : 9. How much does Dev get (in ₹)?
  34. 34.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  35. 35.Divide ₹255 between Aditya and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  36. 36.Divide ₹220 between Arjun and Aarav in the ratio 3 : 1. How much does Arjun get (in ₹)?
  37. 37.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  38. 38.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  39. 39.7 : 3 = 42 : ?
  40. 40.Divide ₹135 between Kabir and Manav in the ratio 4 : 1. How much does Manav get (in ₹)?

Answer key

  1. 333
  2. 63
  3. 9
  4. 32
  5. 36
  6. 45
  7. 34
  8. 28
  9. 72
  10. 112
  11. 32
  12. 70
  13. 200
  14. 63
  15. 392
  16. 8
  17. 40
  18. 28
  19. 20
  20. 45
  21. 42
  22. 56
  23. 123
  24. 5
  25. 56
  26. 80
  27. 225
  28. 72
  29. 32
  30. 175
  31. 14
  32. 28
  33. 288
  34. 144
  35. 153
  36. 165
  37. 75
  38. 35
  39. 18
  40. 27

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