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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 368 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹140 between Ananya and Meera in the ratio 3 : 4. How much does Meera get (in ₹)?
  2. 2.Divide ₹490 between Zoya and Nisha in the ratio 7 : 3. How much does Zoya get (in ₹)?
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  7. 7.Divide ₹384 between Aditya and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  9. 9.Divide ₹240 between Ishaan and Aarav in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  11. 11.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  15. 15.Divide ₹66 between Priya and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
  16. 16.Divide ₹270 between Sneha and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  17. 17.2 : 6 = 6 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  19. 19.Divide ₹161 between Manav and Farhan in the ratio 2 : 5. How much does Farhan get (in ₹)?
  20. 20.7 : 13 = 14 : ?
  21. 21.Divide ₹217 between Ananya and Pooja in the ratio 4 : 3. How much does Pooja get (in ₹)?
  22. 22.2 : 3 = 12 : ?
  23. 23.5 : 15 = 20 : ?
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  27. 27.3 : 11 = 15 : ?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  30. 30.Divide ₹168 between Aarav and Saanvi in the ratio 1 : 5. How much does Aarav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.9 : 11 = 54 : ?
  34. 34.Divide ₹126 between Nisha and Rahul in the ratio 4 : 3. How much does Rahul get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.Divide ₹162 between Ishaan and Kabir in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?

Answer key

  1. 80
  2. 343
  3. 144
  4. 225
  5. 8
  6. 81
  7. 240
  8. 48
  9. 210
  10. 16
  11. 64
  12. 36
  13. 35
  14. 9
  15. 11
  16. 162
  17. 18
  18. 10
  19. 115
  20. 26
  21. 93
  22. 18
  23. 60
  24. 150
  25. 27
  26. 40
  27. 55
  28. 48
  29. 12
  30. 28
  31. 15
  32. 200
  33. 66
  34. 54
  35. 18
  36. 18
  37. 81
  38. 90
  39. 96
  40. 30

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