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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 103 · 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 1 : 7. There are 4 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.12 : 9 = 36 : ?
  7. 7.Divide ₹133 between Vivaan and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  13. 13.6 : 4 = 30 : ?
  14. 14.9 : 6 = 81 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  16. 16.6 : 14 = 54 : ?
  17. 17.Divide ₹240 between Pooja and Diya in the ratio 8 : 7. How much does Pooja get (in ₹)?
  18. 18.5 : 9 = 10 : ?
  19. 19.6 : 11 = 42 : ?
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.12 : 4 = 36 : ?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  25. 25.5 : 3 = 10 : ?
  26. 26.Divide ₹288 between Saanvi and Arjun in the ratio 5 : 4. How much does Saanvi get (in ₹)?
  27. 27.Divide ₹363 between Manav and Farhan in the ratio 6 : 5. How much does Manav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  30. 30.4 : 13 = 28 : ?
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  33. 33.Divide ₹245 between Diya and Aditya in the ratio 2 : 3. How much does Diya get (in ₹)?
  34. 34.Divide ₹177 between Diya and Arjun in the ratio 2 : 1. How much does Diya get (in ₹)?
  35. 35.9 : 15 = 27 : ?
  36. 36.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  37. 37.3 : 7 = 21 : ?
  38. 38.Divide ₹240 between Ishaan and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.Divide ₹270 between Pooja and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?

Answer key

  1. 28
  2. 8
  3. 12
  4. 12
  5. 18
  6. 27
  7. 114
  8. 24
  9. 24
  10. 12
  11. 36
  12. 4
  13. 20
  14. 54
  15. 4
  16. 126
  17. 128
  18. 18
  19. 77
  20. 36
  21. 12
  22. 6
  23. 45
  24. 36
  25. 6
  26. 160
  27. 198
  28. 6
  29. 9
  30. 91
  31. 6
  32. 35
  33. 98
  34. 118
  35. 45
  36. 90
  37. 49
  38. 24
  39. 112
  40. 60

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