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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 931 · 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 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.12 : 5 = 108 : ?
  3. 3.Divide ₹329 between Ishaan and Saanvi in the ratio 2 : 5. How much does Ishaan get (in ₹)?
  4. 4.Divide ₹510 between Karan and Dev in the ratio 7 : 8. How much does Dev get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  6. 6.Divide ₹350 between Karan and Kabir in the ratio 1 : 6. How much does Karan get (in ₹)?
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.Divide ₹399 between Priya and Zoya in the ratio 6 : 1. How much does Priya get (in ₹)?
  9. 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  10. 10.10 : 6 = 40 : ?
  11. 11.3 : 12 = 18 : ?
  12. 12.Divide ₹80 between Priya and Kabir in the ratio 3 : 2. How much does Priya get (in ₹)?
  13. 13.2 : 9 = 8 : ?
  14. 14.Divide ₹104 between Kavya and Sneha in the ratio 5 : 3. How much does Kavya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  16. 16.Divide ₹343 between Ishaan and Tara in the ratio 1 : 6. How much does Tara get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.8 : 14 = 56 : ?
  20. 20.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  21. 21.Divide ₹72 between Tara and Sneha in the ratio 7 : 2. How much does Tara get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  23. 23.Divide ₹240 between Saanvi and Zoya in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  25. 25.Divide ₹209 between Aditya and Tara in the ratio 4 : 7. How much does Tara get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  32. 32.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  33. 33.3 : 10 = 27 : ?
  34. 34.2 : 10 = 16 : ?
  35. 35.Divide ₹100 between Karan and Rahul in the ratio 7 : 3. How much does Rahul get (in ₹)?
  36. 36.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.11 : 6 = 99 : ?
  40. 40.Divide ₹135 between Saanvi and Ananya in the ratio 8 : 1. How much does Saanvi get (in ₹)?

Answer key

  1. 144
  2. 45
  3. 94
  4. 272
  5. 12
  6. 50
  7. 50
  8. 342
  9. 96
  10. 24
  11. 72
  12. 48
  13. 36
  14. 65
  15. 21
  16. 294
  17. 42
  18. 8
  19. 98
  20. 36
  21. 56
  22. 24
  23. 48
  24. 8
  25. 133
  26. 4
  27. 32
  28. 36
  29. 14
  30. 225
  31. 72
  32. 63
  33. 90
  34. 80
  35. 30
  36. 24
  37. 24
  38. 12
  39. 54
  40. 120

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