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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 167 · 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.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  3. 3.Divide ₹715 between Tara and Rohan in the ratio 9 : 4. How much does Rohan get (in ₹)?
  4. 4.12 : 15 = 24 : ?
  5. 5.Divide ₹91 between Rohan and Saanvi in the ratio 4 : 9. How much does Saanvi get (in ₹)?
  6. 6.10 : 12 = 90 : ?
  7. 7.Divide ₹48 between Sneha and Zoya in the ratio 1 : 7. How much does Zoya get (in ₹)?
  8. 8.Divide ₹95 between Zoya and Priya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.5 : 8 = 35 : ?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  14. 14.Divide ₹35 between Rohan and Nisha in the ratio 4 : 1. How much does Rohan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  17. 17.Divide ₹308 between Ishaan and Karan in the ratio 3 : 8. How much does Karan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  19. 19.Divide ₹119 between Ananya and Karan in the ratio 8 : 9. How much does Ananya get (in ₹)?
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.Divide ₹182 between Vivaan and Diya in the ratio 1 : 6. How much does Diya get (in ₹)?
  24. 24.Divide ₹144 between Ananya and Tara in the ratio 5 : 7. How much does Ananya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  26. 26.Divide ₹522 between Arjun and Diya in the ratio 4 : 5. How much does Diya get (in ₹)?
  27. 27.9 : 4 = 54 : ?
  28. 28.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  29. 29.4 : 10 = 16 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  31. 31.11 : 8 = 99 : ?
  32. 32.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  33. 33.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  34. 34.Divide ₹209 between Zoya and Ananya in the ratio 4 : 7. How much does Ananya get (in ₹)?
  35. 35.Divide ₹119 between Karan and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.11 : 10 = 44 : ?
  38. 38.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  39. 39.10 : 8 = 20 : ?
  40. 40.11 : 13 = 55 : ?

Answer key

  1. 64
  2. 24
  3. 220
  4. 30
  5. 63
  6. 108
  7. 42
  8. 19
  9. 24
  10. 16
  11. 56
  12. 100
  13. 9
  14. 28
  15. 40
  16. 63
  17. 224
  18. 21
  19. 56
  20. 28
  21. 10
  22. 80
  23. 156
  24. 60
  25. 9
  26. 290
  27. 24
  28. 14
  29. 40
  30. 35
  31. 72
  32. 40
  33. 150
  34. 133
  35. 34
  36. 54
  37. 40
  38. 72
  39. 16
  40. 65

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