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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 135 · 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 8 and 40 (that is, 8 : 40 = 40 : ?).
  2. 2.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  3. 3.Divide ₹256 between Rohan and Diya in the ratio 1 : 7. How much does Rohan get (in ₹)?
  4. 4.2 : 5 = 4 : ?
  5. 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.5 : 2 = 10 : ?
  9. 9.5 : 15 = 45 : ?
  10. 10.Divide ₹108 between Aditya and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  12. 12.Divide ₹240 between Rohan and Farhan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  13. 13.Divide ₹147 between Zoya and Vivaan in the ratio 1 : 2. How much does Zoya get (in ₹)?
  14. 14.Divide ₹104 between Meera and Pooja in the ratio 1 : 7. How much does Meera get (in ₹)?
  15. 15.5 : 3 = 45 : ?
  16. 16.7 : 13 = 28 : ?
  17. 17.Divide ₹264 between Rahul and Aarav in the ratio 9 : 2. How much does Rahul get (in ₹)?
  18. 18.8 : 13 = 72 : ?
  19. 19.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  20. 20.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  21. 21.Divide ₹165 between Karan and Rahul in the ratio 7 : 8. How much does Karan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  23. 23.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  26. 26.3 : 4 = 15 : ?
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.Divide ₹100 between Ishaan and Ananya in the ratio 3 : 2. How much does Ananya get (in ₹)?
  29. 29.11 : 3 = 99 : ?
  30. 30.Divide ₹182 between Tara and Arjun in the ratio 7 : 6. How much does Tara get (in ₹)?
  31. 31.Divide ₹144 between Aditya and Manav in the ratio 1 : 2. How much does Aditya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  33. 33.12 : 6 = 24 : ?
  34. 34.Divide ₹399 between Vivaan and Manav in the ratio 2 : 5. How much does Manav get (in ₹)?
  35. 35.12 : 14 = 108 : ?
  36. 36.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  38. 38.Divide ₹220 between Rohan and Nisha in the ratio 4 : 7. How much does Nisha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  40. 40.Divide ₹245 between Diya and Dev in the ratio 2 : 5. How much does Diya get (in ₹)?

Answer key

  1. 200
  2. 20
  3. 32
  4. 10
  5. 45
  6. 3
  7. 100
  8. 4
  9. 135
  10. 90
  11. 24
  12. 105
  13. 49
  14. 13
  15. 27
  16. 52
  17. 216
  18. 117
  19. 150
  20. 25
  21. 77
  22. 10
  23. 96
  24. 35
  25. 6
  26. 20
  27. 12
  28. 40
  29. 27
  30. 98
  31. 48
  32. 42
  33. 12
  34. 285
  35. 126
  36. 112
  37. 27
  38. 140
  39. 15
  40. 70

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