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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 546 · 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.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  2. 2.3 : 5 = 6 : ?
  3. 3.Divide ₹187 between Kabir and Rahul in the ratio 2 : 9. How much does Kabir get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  5. 5.Divide ₹132 between Ananya and Vivaan in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  6. 6.3 : 13 = 18 : ?
  7. 7.Divide ₹351 between Dev and Kabir in the ratio 8 : 1. How much does Dev get (in ₹)?
  8. 8.Divide ₹105 between Aditya and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.Divide ₹192 between Aditya and Pooja in the ratio 1 : 7. How much does Aditya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  12. 12.Divide ₹132 between Aarav and Kabir in the ratio 3 : 1. How much does Aarav get (in ₹)?
  13. 13.Divide ₹132 between Farhan and Pooja in the ratio 1 : 3. How much does Farhan get (in ₹)?
  14. 14.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  15. 15.Divide ₹60 between Tara and Rohan in the ratio 1 : 9. How much does Tara get (in ₹)?
  16. 16.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  17. 17.Divide ₹429 between Aarav and Isha in the ratio 9 : 4. How much does Aarav get (in ₹)?
  18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  19. 19.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  20. 20.11 : 2 = 77 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  26. 26.7 : 4 = 42 : ?
  27. 27.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  30. 30.3 : 2 = 15 : ?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.Divide ₹448 between Pooja and Aditya in the ratio 7 : 1. How much does Aditya get (in ₹)?
  33. 33.Divide ₹336 between Aarav and Meera in the ratio 6 : 1. How much does Meera get (in ₹)?
  34. 34.4 : 12 = 32 : ?
  35. 35.Divide ₹70 between Nisha and Dev in the ratio 3 : 7. How much does Dev get (in ₹)?
  36. 36.7 : 15 = 49 : ?
  37. 37.Divide ₹561 between Aarav and Ananya in the ratio 8 : 3. How much does Ananya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  39. 39.12 : 10 = 48 : ?
  40. 40.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).

Answer key

  1. 24
  2. 10
  3. 34
  4. 4
  5. 44
  6. 78
  7. 312
  8. 21
  9. 50
  10. 24
  11. 81
  12. 99
  13. 33
  14. 75
  15. 6
  16. 96
  17. 297
  18. 45
  19. 20
  20. 14
  21. 12
  22. 18
  23. 50
  24. 45
  25. 36
  26. 24
  27. 64
  28. 14
  29. 4
  30. 10
  31. 28
  32. 56
  33. 48
  34. 96
  35. 49
  36. 105
  37. 153
  38. 20
  39. 40
  40. 18

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