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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 807 · 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. 1.6 : 7 = 36 : ?
  2. 2.Divide ₹54 between Saanvi and Zoya in the ratio 2 : 1. How much does Zoya get (in ₹)?
  3. 3.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  5. 5.Divide ₹90 between Ananya and Meera in the ratio 7 : 2. How much does Ananya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  7. 7.Divide ₹396 between Rahul and Karan in the ratio 6 : 5. How much does Karan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  9. 9.Divide ₹767 between Dev and Priya in the ratio 8 : 5. How much does Priya get (in ₹)?
  10. 10.12 : 2 = 24 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  12. 12.4 : 2 = 12 : ?
  13. 13.Divide ₹120 between Saanvi and Isha in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  14. 14.8 : 7 = 24 : ?
  15. 15.Divide ₹132 between Saanvi and Isha in the ratio 4 : 7. How much does Isha get (in ₹)?
  16. 16.Divide ₹77 between Ananya and Rohan in the ratio 6 : 5. How much does Ananya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  18. 18.2 : 10 = 16 : ?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.10 : 6 = 40 : ?
  21. 21.Divide ₹364 between Saanvi and Manav in the ratio 9 : 4. How much does Manav get (in ₹)?
  22. 22.Divide ₹153 between Aarav and Rahul in the ratio 8 : 9. How much does Aarav get (in ₹)?
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.9 : 2 = 27 : ?
  27. 27.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  28. 28.4 : 5 = 16 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  30. 30.Divide ₹126 between Kavya and Isha in the ratio 1 : 6. How much does Kavya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  32. 32.Divide ₹210 between Rohan and Zoya in the ratio 9 : 1. How much does Zoya get (in ₹)?
  33. 33.Divide ₹506 between Tara and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  34. 34.8 : 14 = 64 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  36. 36.Divide ₹72 between Vivaan and Aditya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  39. 39.Divide ₹560 between Aarav and Dev in the ratio 5 : 9. How much does Dev get (in ₹)?
  40. 40.Divide ₹342 between Vivaan and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?

Answer key

  1. 42
  2. 18
  3. 225
  4. 64
  5. 70
  6. 81
  7. 180
  8. 9
  9. 295
  10. 4
  11. 9
  12. 6
  13. 30
  14. 21
  15. 84
  16. 42
  17. 21
  18. 80
  19. 175
  20. 24
  21. 112
  22. 72
  23. 144
  24. 25
  25. 18
  26. 6
  27. 8
  28. 20
  29. 50
  30. 18
  31. 81
  32. 21
  33. 368
  34. 112
  35. 32
  36. 45
  37. 8
  38. 80
  39. 360
  40. 76

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