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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 212 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.Divide ₹165 between Manav and Rahul in the ratio 4 : 7. How much does Rahul get (in ₹)?
  3. 3.10 : 13 = 70 : ?
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.Divide ₹140 between Karan and Aarav in the ratio 4 : 3. How much does Karan get (in ₹)?
  7. 7.Divide ₹33 between Karan and Vivaan in the ratio 2 : 1. How much does Karan get (in ₹)?
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.3 : 10 = 9 : ?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  11. 11.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  12. 12.6 : 3 = 48 : ?
  13. 13.7 : 5 = 63 : ?
  14. 14.Divide ₹450 between Diya and Dev in the ratio 2 : 7. How much does Diya get (in ₹)?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.4 : 10 = 12 : ?
  17. 17.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  18. 18.4 : 5 = 32 : ?
  19. 19.Divide ₹27 between Rohan and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  20. 20.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  21. 21.9 : 14 = 36 : ?
  22. 22.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  23. 23.Divide ₹338 between Ishaan and Arjun in the ratio 7 : 6. How much does Ishaan get (in ₹)?
  24. 24.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  25. 25.8 : 4 = 16 : ?
  26. 26.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  27. 27.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  29. 29.Divide ₹117 between Aditya and Zoya in the ratio 7 : 2. How much does Zoya get (in ₹)?
  30. 30.Divide ₹627 between Tara and Dev in the ratio 9 : 2. How much does Dev get (in ₹)?
  31. 31.10 : 14 = 50 : ?
  32. 32.3 : 11 = 24 : ?
  33. 33.10 : 2 = 70 : ?
  34. 34.Divide ₹182 between Ananya and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.Divide ₹533 between Kabir and Zoya in the ratio 8 : 5. How much does Zoya get (in ₹)?
  38. 38.10 : 8 = 80 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  40. 40.11 : 12 = 22 : ?

Answer key

  1. 75
  2. 105
  3. 91
  4. 80
  5. 225
  6. 80
  7. 22
  8. 96
  9. 30
  10. 14
  11. 28
  12. 24
  13. 45
  14. 100
  15. 32
  16. 30
  17. 7
  18. 40
  19. 9
  20. 32
  21. 56
  22. 27
  23. 182
  24. 20
  25. 8
  26. 3
  27. 64
  28. 80
  29. 26
  30. 114
  31. 70
  32. 88
  33. 14
  34. 126
  35. 9
  36. 54
  37. 205
  38. 64
  39. 2
  40. 24

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