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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 753 · 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. 1.2 : 6 = 12 : ?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.Divide ₹136 between Ananya and Nisha in the ratio 8 : 9. How much does Ananya get (in ₹)?
  4. 4.Divide ₹344 between Kabir and Dev in the ratio 7 : 1. How much does Kabir get (in ₹)?
  5. 5.2 : 14 = 14 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.Divide ₹369 between Priya and Karan in the ratio 5 : 4. How much does Priya get (in ₹)?
  9. 9.12 : 11 = 72 : ?
  10. 10.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  11. 11.5 : 13 = 25 : ?
  12. 12.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  13. 13.2 : 5 = 10 : ?
  14. 14.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  18. 18.2 : 14 = 8 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  20. 20.7 : 13 = 35 : ?
  21. 21.Divide ₹275 between Ishaan and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.3 : 15 = 21 : ?
  25. 25.Divide ₹225 between Dev and Farhan in the ratio 5 : 4. How much does Farhan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.Divide ₹275 between Rahul and Farhan in the ratio 4 : 1. How much does Rahul get (in ₹)?
  29. 29.11 : 9 = 88 : ?
  30. 30.Divide ₹413 between Saanvi and Pooja in the ratio 6 : 1. How much does Pooja get (in ₹)?
  31. 31.Divide ₹171 between Tara and Saanvi in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  34. 34.Divide ₹572 between Zoya and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Divide ₹420 between Ananya and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  37. 37.Divide ₹42 between Priya and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.Divide ₹165 between Zoya and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  40. 40.8 : 7 = 40 : ?

Answer key

  1. 36
  2. 16
  3. 64
  4. 301
  5. 98
  6. 8
  7. 45
  8. 205
  9. 66
  10. 96
  11. 65
  12. 10
  13. 25
  14. 36
  15. 6
  16. 150
  17. 27
  18. 56
  19. 9
  20. 65
  21. 125
  22. 60
  23. 175
  24. 105
  25. 100
  26. 4
  27. 63
  28. 220
  29. 72
  30. 59
  31. 19
  32. 4
  33. 10
  34. 468
  35. 36
  36. 196
  37. 30
  38. 8
  39. 120
  40. 35

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