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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 711 · 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.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.Divide ₹169 between Diya and Manav in the ratio 7 : 6. How much does Manav get (in ₹)?
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.Divide ₹403 between Tara and Dev in the ratio 9 : 4. How much does Tara get (in ₹)?
  6. 6.Divide ₹230 between Manav and Meera in the ratio 3 : 2. How much does Meera get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.12 : 14 = 72 : ?
  10. 10.Divide ₹468 between Sneha and Zoya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  11. 11.5 : 6 = 30 : ?
  12. 12.Divide ₹660 between Isha and Ananya in the ratio 5 : 6. How much does Ananya get (in ₹)?
  13. 13.Divide ₹114 between Rohan and Karan in the ratio 2 : 1. How much does Karan get (in ₹)?
  14. 14.Divide ₹65 between Kabir and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  15. 15.10 : 13 = 20 : ?
  16. 16.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.7 : 4 = 56 : ?
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.10 : 6 = 90 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  23. 23.Divide ₹64 between Aditya and Manav in the ratio 3 : 1. How much does Manav get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  25. 25.Divide ₹126 between Kabir and Karan in the ratio 8 : 1. How much does Kabir get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  27. 27.11 : 2 = 77 : ?
  28. 28.Divide ₹198 between Kabir and Saanvi in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  29. 29.Divide ₹66 between Rohan and Sneha in the ratio 2 : 9. How much does Sneha get (in ₹)?
  30. 30.Divide ₹627 between Meera and Dev in the ratio 5 : 6. How much does Dev get (in ₹)?
  31. 31.7 : 13 = 49 : ?
  32. 32.2 : 14 = 18 : ?
  33. 33.Divide ₹408 between Arjun and Isha in the ratio 5 : 3. How much does Isha get (in ₹)?
  34. 34.Divide ₹297 between Nisha and Meera in the ratio 9 : 2. How much does Meera get (in ₹)?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.Divide ₹264 between Vivaan and Aarav in the ratio 7 : 4. How much does Aarav get (in ₹)?
  37. 37.Divide ₹119 between Zoya and Aditya in the ratio 9 : 8. How much does Zoya get (in ₹)?
  38. 38.Divide ₹100 between Pooja and Ishaan in the ratio 3 : 7. How much does Ishaan get (in ₹)?
  39. 39.10 : 3 = 60 : ?
  40. 40.Divide ₹176 between Diya and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?

Answer key

  1. 14
  2. 12
  3. 78
  4. 225
  5. 279
  6. 92
  7. 40
  8. 125
  9. 84
  10. 324
  11. 36
  12. 360
  13. 38
  14. 39
  15. 26
  16. 64
  17. 20
  18. 32
  19. 96
  20. 81
  21. 54
  22. 12
  23. 16
  24. 18
  25. 112
  26. 15
  27. 14
  28. 126
  29. 54
  30. 342
  31. 91
  32. 126
  33. 153
  34. 54
  35. 16
  36. 96
  37. 63
  38. 70
  39. 18
  40. 80

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