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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 995 · 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 ₹561 between Diya and Ananya in the ratio 9 : 2. How much does Ananya get (in ₹)?
  2. 2.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  3. 3.2 : 10 = 8 : ?
  4. 4.Divide ₹598 between Priya and Karan in the ratio 5 : 8. How much does Priya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  6. 6.Divide ₹384 between Zoya and Nisha in the ratio 3 : 5. How much does Zoya get (in ₹)?
  7. 7.Divide ₹420 between Kabir and Sneha in the ratio 4 : 3. How much does Kabir get (in ₹)?
  8. 8.3 : 13 = 24 : ?
  9. 9.Divide ₹385 between Rohan and Zoya in the ratio 7 : 4. How much does Zoya get (in ₹)?
  10. 10.8 : 13 = 64 : ?
  11. 11.Divide ₹42 between Ananya and Pooja in the ratio 5 : 2. How much does Ananya get (in ₹)?
  12. 12.Divide ₹100 between Manav and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  14. 14.Divide ₹161 between Ishaan and Ananya in the ratio 5 : 2. How much does Ishaan get (in ₹)?
  15. 15.Divide ₹98 between Sneha and Saanvi in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  20. 20.Divide ₹128 between Kavya and Aditya in the ratio 7 : 9. How much does Aditya get (in ₹)?
  21. 21.4 : 7 = 20 : ?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.Divide ₹168 between Aditya and Dev in the ratio 3 : 5. How much does Aditya get (in ₹)?
  24. 24.Divide ₹100 between Ishaan and Zoya in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  25. 25.Divide ₹112 between Saanvi and Dev in the ratio 3 : 5. How much does Dev get (in ₹)?
  26. 26.7 : 5 = 21 : ?
  27. 27.11 : 13 = 55 : ?
  28. 28.Divide ₹66 between Priya and Ishaan in the ratio 1 : 2. How much does Priya get (in ₹)?
  29. 29.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  31. 31.Divide ₹176 between Diya and Aditya in the ratio 7 : 9. How much does Aditya get (in ₹)?
  32. 32.11 : 12 = 22 : ?
  33. 33.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  34. 34.12 : 7 = 60 : ?
  35. 35.3 : 8 = 15 : ?
  36. 36.7 : 13 = 35 : ?
  37. 37.12 : 10 = 108 : ?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.Divide ₹616 between Dev and Kavya in the ratio 6 : 5. How much does Dev get (in ₹)?

Answer key

  1. 102
  2. 8
  3. 40
  4. 230
  5. 10
  6. 144
  7. 240
  8. 104
  9. 140
  10. 104
  11. 30
  12. 70
  13. 20
  14. 115
  15. 56
  16. 3
  17. 16
  18. 6
  19. 25
  20. 72
  21. 35
  22. 50
  23. 63
  24. 10
  25. 70
  26. 15
  27. 65
  28. 22
  29. 27
  30. 90
  31. 99
  32. 24
  33. 45
  34. 35
  35. 40
  36. 65
  37. 90
  38. 12
  39. 18
  40. 336

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