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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 543 · 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 7 : 4. There are 49 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  3. 3.3 : 13 = 24 : ?
  4. 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  5. 5.12 : 11 = 84 : ?
  6. 6.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.Divide ₹605 between Priya and Karan in the ratio 4 : 7. How much does Karan get (in ₹)?
  10. 10.Divide ₹246 between Isha and Sneha in the ratio 5 : 1. How much does Isha get (in ₹)?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹248 between Rohan and Kabir in the ratio 3 : 5. How much does Kabir get (in ₹)?
  14. 14.Divide ₹357 between Pooja and Farhan in the ratio 9 : 8. How much does Pooja get (in ₹)?
  15. 15.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  16. 16.Divide ₹810 between Aditya and Dev in the ratio 7 : 8. How much does Aditya get (in ₹)?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  20. 20.Divide ₹598 between Priya and Ananya in the ratio 8 : 5. How much does Priya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  22. 22.Divide ₹650 between Aditya and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
  23. 23.Divide ₹240 between Kabir and Saanvi in the ratio 1 : 3. How much does Kabir get (in ₹)?
  24. 24.2 : 5 = 12 : ?
  25. 25.Divide ₹119 between Nisha and Zoya in the ratio 6 : 1. How much does Zoya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  32. 32.7 : 9 = 28 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  37. 37.11 : 8 = 99 : ?
  38. 38.Divide ₹261 between Rohan and Manav in the ratio 7 : 2. How much does Manav get (in ₹)?
  39. 39.Divide ₹494 between Meera and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?

Answer key

  1. 28
  2. 40
  3. 104
  4. 125
  5. 77
  6. 45
  7. 36
  8. 54
  9. 385
  10. 205
  11. 18
  12. 150
  13. 155
  14. 189
  15. 225
  16. 378
  17. 75
  18. 9
  19. 9
  20. 368
  21. 18
  22. 350
  23. 60
  24. 30
  25. 17
  26. 36
  27. 12
  28. 18
  29. 32
  30. 4
  31. 25
  32. 36
  33. 3
  34. 28
  35. 24
  36. 8
  37. 72
  38. 58
  39. 228
  40. 7

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