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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 367 · 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. 1.4 : 5 = 36 : ?
  2. 2.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  3. 3.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  4. 4.2 : 3 = 12 : ?
  5. 5.Divide ₹495 between Diya and Aarav in the ratio 4 : 5. How much does Diya get (in ₹)?
  6. 6.2 : 12 = 10 : ?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.11 : 2 = 33 : ?
  9. 9.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  10. 10.2 : 11 = 14 : ?
  11. 11.10 : 2 = 40 : ?
  12. 12.3 : 15 = 21 : ?
  13. 13.Divide ₹66 between Kabir and Aarav in the ratio 2 : 1. How much does Kabir get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  15. 15.Divide ₹495 between Meera and Karan in the ratio 5 : 6. How much does Meera get (in ₹)?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.Divide ₹145 between Kavya and Sneha in the ratio 1 : 4. How much does Kavya get (in ₹)?
  18. 18.Divide ₹441 between Saanvi and Zoya in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  20. 20.Divide ₹42 between Dev and Farhan in the ratio 5 : 2. How much does Farhan get (in ₹)?
  21. 21.8 : 5 = 24 : ?
  22. 22.Divide ₹240 between Dev and Pooja in the ratio 5 : 3. How much does Dev get (in ₹)?
  23. 23.Divide ₹135 between Aarav and Kabir in the ratio 8 : 7. How much does Aarav get (in ₹)?
  24. 24.Divide ₹280 between Diya and Dev in the ratio 1 : 9. How much does Diya get (in ₹)?
  25. 25.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  26. 26.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  27. 27.6 : 13 = 54 : ?
  28. 28.11 : 8 = 77 : ?
  29. 29.2 : 9 = 10 : ?
  30. 30.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  31. 31.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  32. 32.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  33. 33.Divide ₹112 between Ishaan and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  34. 34.2 : 11 = 6 : ?
  35. 35.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  37. 37.6 : 10 = 12 : ?
  38. 38.Divide ₹165 between Saanvi and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  40. 40.7 : 6 = 35 : ?

Answer key

  1. 45
  2. 24
  3. 100
  4. 18
  5. 220
  6. 60
  7. 36
  8. 6
  9. 9
  10. 77
  11. 8
  12. 105
  13. 44
  14. 8
  15. 225
  16. 12
  17. 29
  18. 392
  19. 32
  20. 12
  21. 15
  22. 150
  23. 72
  24. 28
  25. 175
  26. 24
  27. 117
  28. 56
  29. 45
  30. 30
  31. 112
  32. 10
  33. 28
  34. 33
  35. 32
  36. 10
  37. 20
  38. 132
  39. 24
  40. 30

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