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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 560 · 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 4 and 16 (that is, 4 : 16 = 16 : ?).
  2. 2.Divide ₹660 between Dev and Pooja in the ratio 5 : 6. How much does Pooja get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  4. 4.2 : 9 = 12 : ?
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  8. 8.Divide ₹140 between Vivaan and Kabir in the ratio 1 : 3. How much does Kabir get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  10. 10.6 : 11 = 36 : ?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  12. 12.4 : 15 = 24 : ?
  13. 13.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  16. 16.5 : 9 = 10 : ?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.Divide ₹50 between Zoya and Kavya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  20. 20.5 : 2 = 45 : ?
  21. 21.Divide ₹705 between Arjun and Isha in the ratio 7 : 8. How much does Isha get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  23. 23.Divide ₹220 between Karan and Zoya in the ratio 9 : 1. How much does Karan get (in ₹)?
  24. 24.Divide ₹120 between Vivaan and Dev in the ratio 2 : 3. How much does Vivaan get (in ₹)?
  25. 25.9 : 3 = 45 : ?
  26. 26.3 : 4 = 6 : ?
  27. 27.Divide ₹210 between Farhan and Aarav in the ratio 2 : 3. How much does Aarav get (in ₹)?
  28. 28.Divide ₹304 between Farhan and Ananya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  29. 29.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  30. 30.Divide ₹385 between Vivaan and Zoya in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  32. 32.Divide ₹252 between Ishaan and Ananya in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  33. 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  35. 35.3 : 8 = 12 : ?
  36. 36.Divide ₹336 between Nisha and Kabir in the ratio 5 : 1. How much does Nisha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  39. 39.Divide ₹105 between Sneha and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
  40. 40.7 : 10 = 63 : ?

Answer key

  1. 64
  2. 360
  3. 8
  4. 54
  5. 28
  6. 30
  7. 8
  8. 105
  9. 10
  10. 66
  11. 28
  12. 90
  13. 5
  14. 36
  15. 12
  16. 18
  17. 200
  18. 18
  19. 15
  20. 18
  21. 376
  22. 18
  23. 198
  24. 48
  25. 15
  26. 8
  27. 126
  28. 133
  29. 27
  30. 175
  31. 6
  32. 108
  33. 72
  34. 9
  35. 32
  36. 280
  37. 6
  38. 6
  39. 49
  40. 90

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