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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 615 · 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 4 : 9. There are 12 boys. How many girls are there?
  2. 2.9 : 6 = 54 : ?
  3. 3.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  4. 4.Divide ₹495 between Farhan and Priya in the ratio 7 : 4. How much does Priya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  6. 6.Divide ₹45 between Priya and Manav in the ratio 4 : 1. How much does Priya get (in ₹)?
  7. 7.3 : 4 = 21 : ?
  8. 8.Divide ₹702 between Ananya and Arjun in the ratio 8 : 5. How much does Arjun get (in ₹)?
  9. 9.Divide ₹308 between Rahul and Aditya in the ratio 2 : 5. How much does Aditya get (in ₹)?
  10. 10.7 : 5 = 14 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  13. 13.Divide ₹539 between Pooja and Vivaan in the ratio 6 : 5. How much does Pooja get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  15. 15.7 : 14 = 63 : ?
  16. 16.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  19. 19.Divide ₹102 between Dev and Farhan in the ratio 1 : 2. How much does Dev get (in ₹)?
  20. 20.Divide ₹78 between Sneha and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.Divide ₹418 between Pooja and Rohan in the ratio 5 : 6. How much does Rohan get (in ₹)?
  25. 25.Divide ₹198 between Kabir and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  26. 26.Divide ₹273 between Meera and Rohan in the ratio 8 : 5. How much does Rohan get (in ₹)?
  27. 27.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.Divide ₹212 between Priya and Meera in the ratio 1 : 3. How much does Priya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  32. 32.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  33. 33.7 : 8 = 49 : ?
  34. 34.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  35. 35.2 : 11 = 6 : ?
  36. 36.3 : 14 = 18 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  38. 38.7 : 6 = 28 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  40. 40.7 : 13 = 14 : ?

Answer key

  1. 27
  2. 36
  3. 100
  4. 180
  5. 56
  6. 36
  7. 28
  8. 270
  9. 220
  10. 10
  11. 15
  12. 112
  13. 294
  14. 36
  15. 126
  16. 20
  17. 10
  18. 6
  19. 34
  20. 52
  21. 28
  22. 125
  23. 18
  24. 228
  25. 88
  26. 105
  27. 36
  28. 16
  29. 36
  30. 53
  31. 10
  32. 150
  33. 56
  34. 3
  35. 33
  36. 84
  37. 18
  38. 24
  39. 40
  40. 26

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