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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 225 · 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. 1.8 : 5 = 40 : ?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  10. 10.Divide ₹265 between Pooja and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  15. 15.Divide ₹294 between Farhan and Dev in the ratio 6 : 1. How much does Farhan get (in ₹)?
  16. 16.9 : 4 = 27 : ?
  17. 17.11 : 13 = 22 : ?
  18. 18.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  19. 19.9 : 4 = 81 : ?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  22. 22.Divide ₹340 between Pooja and Priya in the ratio 9 : 8. How much does Pooja get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  24. 24.Divide ₹54 between Zoya and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  25. 25.Divide ₹216 between Aditya and Manav in the ratio 5 : 1. How much does Aditya get (in ₹)?
  26. 26.11 : 6 = 99 : ?
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.Divide ₹18 between Rahul and Priya in the ratio 1 : 2. How much does Rahul get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  30. 30.Divide ₹66 between Aarav and Diya in the ratio 2 : 1. How much does Diya get (in ₹)?
  31. 31.Divide ₹182 between Karan and Ananya in the ratio 3 : 4. How much does Ananya get (in ₹)?
  32. 32.Divide ₹520 between Arjun and Aditya in the ratio 4 : 9. How much does Arjun get (in ₹)?
  33. 33.Divide ₹296 between Arjun and Kabir in the ratio 3 : 5. How much does Arjun get (in ₹)?
  34. 34.Divide ₹336 between Zoya and Saanvi in the ratio 6 : 1. How much does Zoya get (in ₹)?
  35. 35.Divide ₹112 between Kavya and Kabir in the ratio 1 : 7. How much does Kavya get (in ₹)?
  36. 36.Divide ₹430 between Kabir and Dev in the ratio 7 : 3. How much does Kabir get (in ₹)?
  37. 37.Divide ₹312 between Aarav and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  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.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?

Answer key

  1. 25
  2. 32
  3. 112
  4. 20
  5. 24
  6. 3
  7. 21
  8. 24
  9. 7
  10. 106
  11. 80
  12. 10
  13. 50
  14. 14
  15. 252
  16. 12
  17. 26
  18. 128
  19. 36
  20. 36
  21. 9
  22. 180
  23. 72
  24. 12
  25. 180
  26. 54
  27. 32
  28. 6
  29. 16
  30. 22
  31. 104
  32. 160
  33. 111
  34. 288
  35. 14
  36. 301
  37. 182
  38. 2
  39. 24
  40. 16

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