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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 420 · 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. 1.9 : 11 = 18 : ?
  2. 2.Divide ₹154 between Kabir and Aarav in the ratio 1 : 6. How much does Kabir get (in ₹)?
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.Divide ₹336 between Vivaan and Nisha in the ratio 5 : 2. How much does Nisha get (in ₹)?
  5. 5.6 : 2 = 42 : ?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  12. 12.8 : 3 = 64 : ?
  13. 13.8 : 12 = 64 : ?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  17. 17.Divide ₹238 between Priya and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  19. 19.Divide ₹40 between Pooja and Rohan in the ratio 4 : 1. How much does Pooja get (in ₹)?
  20. 20.10 : 11 = 20 : ?
  21. 21.Divide ₹405 between Rahul and Kabir in the ratio 2 : 7. How much does Rahul get (in ₹)?
  22. 22.3 : 9 = 12 : ?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.Divide ₹144 between Saanvi and Farhan in the ratio 1 : 8. How much does Farhan get (in ₹)?
  25. 25.Divide ₹147 between Dev and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  26. 26.Divide ₹406 between Zoya and Saanvi in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  27. 27.Divide ₹315 between Meera and Ananya in the ratio 8 : 7. How much does Meera get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  30. 30.4 : 3 = 28 : ?
  31. 31.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.10 : 6 = 30 : ?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  36. 36.4 : 6 = 24 : ?
  37. 37.Divide ₹296 between Karan and Meera in the ratio 5 : 3. How much does Karan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?

Answer key

  1. 22
  2. 22
  3. 150
  4. 96
  5. 14
  6. 32
  7. 100
  8. 24
  9. 40
  10. 32
  11. 15
  12. 24
  13. 96
  14. 8
  15. 18
  16. 24
  17. 102
  18. 27
  19. 32
  20. 22
  21. 90
  22. 36
  23. 20
  24. 128
  25. 98
  26. 290
  27. 168
  28. 45
  29. 96
  30. 21
  31. 45
  32. 12
  33. 50
  34. 18
  35. 12
  36. 36
  37. 185
  38. 32
  39. 30
  40. 80

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