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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 949 · 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. 1.7 : 4 = 21 : ?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.4 : 7 = 28 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.10 : 3 = 70 : ?
  7. 7.7 : 14 = 35 : ?
  8. 8.Divide ₹360 between Ananya and Diya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  12. 12.Divide ₹153 between Kavya and Karan in the ratio 8 : 9. How much does Kavya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.Divide ₹245 between Meera and Dev in the ratio 2 : 3. How much does Dev get (in ₹)?
  18. 18.2 : 8 = 4 : ?
  19. 19.5 : 13 = 20 : ?
  20. 20.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  21. 21.8 : 13 = 24 : ?
  22. 22.5 : 8 = 30 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  24. 24.Divide ₹24 between Ananya and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  25. 25.Divide ₹159 between Ishaan and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  26. 26.9 : 15 = 36 : ?
  27. 27.Divide ₹144 between Karan and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  28. 28.3 : 10 = 21 : ?
  29. 29.Divide ₹102 between Kabir and Karan in the ratio 5 : 1. How much does Karan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  31. 31.4 : 9 = 16 : ?
  32. 32.9 : 7 = 18 : ?
  33. 33.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  34. 34.Divide ₹408 between Priya and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  35. 35.Divide ₹578 between Karan and Kabir in the ratio 9 : 8. How much does Kabir get (in ₹)?
  36. 36.6 : 11 = 18 : ?
  37. 37.Divide ₹624 between Aditya and Farhan in the ratio 8 : 5. How much does Farhan get (in ₹)?
  38. 38.Divide ₹528 between Ananya and Arjun in the ratio 7 : 5. How much does Arjun get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  40. 40.Divide ₹390 between Kabir and Rohan in the ratio 1 : 9. How much does Kabir get (in ₹)?

Answer key

  1. 12
  2. 32
  3. 49
  4. 50
  5. 28
  6. 21
  7. 70
  8. 135
  9. 18
  10. 36
  11. 12
  12. 72
  13. 56
  14. 4
  15. 20
  16. 80
  17. 147
  18. 16
  19. 52
  20. 64
  21. 39
  22. 48
  23. 40
  24. 6
  25. 106
  26. 60
  27. 48
  28. 70
  29. 17
  30. 14
  31. 36
  32. 14
  33. 100
  34. 357
  35. 272
  36. 33
  37. 240
  38. 220
  39. 12
  40. 39

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