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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 306 · 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 2 and 8 (that is, 2 : 8 = 8 : ?).
  2. 2.Divide ₹600 between Isha and Farhan in the ratio 8 : 7. How much does Farhan get (in ₹)?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.Divide ₹132 between Rahul and Karan in the ratio 7 : 5. How much does Karan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  6. 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  7. 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  8. 8.8 : 14 = 16 : ?
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  11. 11.Divide ₹91 between Aarav and Ananya in the ratio 5 : 2. How much does Aarav get (in ₹)?
  12. 12.Divide ₹88 between Diya and Kabir in the ratio 1 : 7. How much does Diya get (in ₹)?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  15. 15.Divide ₹40 between Karan and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  17. 17.Divide ₹616 between Kabir and Kavya in the ratio 9 : 5. How much does Kabir get (in ₹)?
  18. 18.Divide ₹605 between Meera and Diya in the ratio 9 : 2. How much does Diya get (in ₹)?
  19. 19.10 : 4 = 50 : ?
  20. 20.2 : 4 = 6 : ?
  21. 21.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  22. 22.5 : 8 = 25 : ?
  23. 23.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  24. 24.Divide ₹25 between Pooja and Rahul in the ratio 3 : 2. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  26. 26.Divide ₹275 between Kavya and Ananya in the ratio 6 : 5. How much does Ananya get (in ₹)?
  27. 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  28. 28.Divide ₹110 between Aarav and Ishaan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  30. 30.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  31. 31.Divide ₹54 between Farhan and Dev in the ratio 2 : 1. How much does Farhan get (in ₹)?
  32. 32.10 : 13 = 20 : ?
  33. 33.5 : 4 = 45 : ?
  34. 34.10 : 11 = 60 : ?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Divide ₹270 between Diya and Tara in the ratio 4 : 5. How much does Diya get (in ₹)?
  37. 37.12 : 11 = 96 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  39. 39.Divide ₹615 between Aditya and Isha in the ratio 8 : 7. How much does Aditya get (in ₹)?
  40. 40.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).

Answer key

  1. 32
  2. 280
  3. 112
  4. 55
  5. 5
  6. 75
  7. 96
  8. 28
  9. 27
  10. 9
  11. 65
  12. 11
  13. 50
  14. 80
  15. 8
  16. 12
  17. 396
  18. 110
  19. 20
  20. 12
  21. 56
  22. 40
  23. 21
  24. 15
  25. 45
  26. 125
  27. 24
  28. 44
  29. 125
  30. 12
  31. 36
  32. 26
  33. 36
  34. 66
  35. 8
  36. 120
  37. 88
  38. 21
  39. 328
  40. 18

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