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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 309 · 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.Divide ₹135 between Zoya and Karan in the ratio 1 : 8. How much does Zoya get (in ₹)?
  2. 2.Divide ₹182 between Priya and Sneha in the ratio 5 : 2. How much does Sneha get (in ₹)?
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Divide ₹546 between Ananya and Arjun in the ratio 9 : 5. How much does Ananya get (in ₹)?
  6. 6.5 : 14 = 10 : ?
  7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  8. 8.5 : 4 = 35 : ?
  9. 9.Divide ₹490 between Rohan and Priya in the ratio 9 : 1. How much does Priya get (in ₹)?
  10. 10.Divide ₹429 between Manav and Diya in the ratio 2 : 9. How much does Manav get (in ₹)?
  11. 11.8 : 3 = 40 : ?
  12. 12.5 : 2 = 45 : ?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  15. 15.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  16. 16.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  17. 17.2 : 7 = 16 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.Divide ₹132 between Saanvi and Zoya in the ratio 9 : 2. How much does Zoya get (in ₹)?
  22. 22.Divide ₹78 between Nisha and Zoya in the ratio 1 : 5. How much does Nisha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  24. 24.5 : 9 = 20 : ?
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  28. 28.3 : 5 = 24 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  30. 30.11 : 5 = 22 : ?
  31. 31.Divide ₹45 between Saanvi and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  32. 32.Divide ₹96 between Vivaan and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  33. 33.10 : 3 = 30 : ?
  34. 34.Divide ₹174 between Zoya and Ishaan in the ratio 1 : 5. How much does Zoya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  36. 36.Divide ₹715 between Ananya and Zoya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  38. 38.Divide ₹376 between Aditya and Arjun in the ratio 3 : 5. How much does Aditya get (in ₹)?
  39. 39.Divide ₹84 between Vivaan and Zoya in the ratio 5 : 7. How much does Zoya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?

Answer key

  1. 15
  2. 52
  3. 36
  4. 54
  5. 351
  6. 28
  7. 24
  8. 28
  9. 49
  10. 78
  11. 15
  12. 18
  13. 63
  14. 4
  15. 225
  16. 45
  17. 56
  18. 18
  19. 72
  20. 28
  21. 24
  22. 13
  23. 56
  24. 36
  25. 12
  26. 81
  27. 6
  28. 40
  29. 9
  30. 10
  31. 18
  32. 64
  33. 9
  34. 29
  35. 24
  36. 275
  37. 5
  38. 141
  39. 49
  40. 4

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