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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 833 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  4. 4.8 : 9 = 64 : ?
  5. 5.Divide ₹624 between Farhan and Tara in the ratio 6 : 7. How much does Farhan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  8. 8.2 : 14 = 4 : ?
  9. 9.Divide ₹56 between Pooja and Dev in the ratio 4 : 3. How much does Pooja get (in ₹)?
  10. 10.Divide ₹340 between Kavya and Karan in the ratio 9 : 8. How much does Kavya get (in ₹)?
  11. 11.Divide ₹477 between Rahul and Ishaan in the ratio 5 : 4. How much does Rahul get (in ₹)?
  12. 12.7 : 11 = 35 : ?
  13. 13.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  18. 18.Divide ₹169 between Vivaan and Pooja in the ratio 8 : 5. How much does Pooja get (in ₹)?
  19. 19.2 : 5 = 14 : ?
  20. 20.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
  22. 22.Divide ₹588 between Karan and Priya in the ratio 5 : 9. How much does Karan get (in ₹)?
  23. 23.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  24. 24.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  31. 31.Divide ₹290 between Zoya and Nisha in the ratio 2 : 3. How much does Zoya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  35. 35.Divide ₹92 between Ishaan and Nisha in the ratio 3 : 1. How much does Nisha get (in ₹)?
  36. 36.Divide ₹840 between Meera and Tara in the ratio 5 : 9. How much does Meera get (in ₹)?
  37. 37.Divide ₹110 between Aarav and Isha in the ratio 9 : 2. How much does Isha get (in ₹)?
  38. 38.6 : 12 = 54 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  40. 40.Divide ₹688 between Meera and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?

Answer key

  1. 50
  2. 12
  3. 225
  4. 72
  5. 288
  6. 12
  7. 12
  8. 28
  9. 32
  10. 180
  11. 265
  12. 55
  13. 40
  14. 8
  15. 54
  16. 8
  17. 56
  18. 65
  19. 35
  20. 4
  21. 35
  22. 210
  23. 64
  24. 20
  25. 10
  26. 96
  27. 20
  28. 2
  29. 125
  30. 72
  31. 116
  32. 7
  33. 18
  34. 10
  35. 23
  36. 300
  37. 20
  38. 108
  39. 27
  40. 301

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