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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 571 · 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. 1.9 : 15 = 27 : ?
  2. 2.4 : 11 = 20 : ?
  3. 3.7 : 13 = 28 : ?
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  7. 7.12 : 6 = 84 : ?
  8. 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  9. 9.9 : 13 = 27 : ?
  10. 10.3 : 8 = 18 : ?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  13. 13.Divide ₹98 between Vivaan and Priya in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  14. 14.Divide ₹220 between Sneha and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
  15. 15.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  16. 16.Divide ₹225 between Rahul and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  17. 17.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  18. 18.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  19. 19.Divide ₹300 between Saanvi and Dev in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  22. 22.7 : 13 = 63 : ?
  23. 23.2 : 14 = 8 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  25. 25.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.Divide ₹205 between Rahul and Vivaan in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  28. 28.12 : 2 = 96 : ?
  29. 29.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  31. 31.3 : 6 = 15 : ?
  32. 32.Divide ₹429 between Diya and Farhan in the ratio 2 : 9. How much does Diya get (in ₹)?
  33. 33.11 : 12 = 33 : ?
  34. 34.2 : 7 = 6 : ?
  35. 35.Divide ₹147 between Rahul and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  36. 36.Divide ₹357 between Kavya and Dev in the ratio 1 : 6. How much does Kavya get (in ₹)?
  37. 37.Divide ₹76 between Rohan and Ananya in the ratio 1 : 3. How much does Rohan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?

Answer key

  1. 45
  2. 55
  3. 52
  4. 72
  5. 49
  6. 12
  7. 42
  8. 144
  9. 39
  10. 48
  11. 18
  12. 49
  13. 70
  14. 44
  15. 125
  16. 180
  17. 36
  18. 14
  19. 180
  20. 12
  21. 45
  22. 117
  23. 56
  24. 72
  25. 80
  26. 28
  27. 164
  28. 16
  29. 30
  30. 35
  31. 30
  32. 78
  33. 36
  34. 21
  35. 98
  36. 51
  37. 19
  38. 72
  39. 56
  40. 4

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