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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 226 · 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 : 13 = 42 : ?
  2. 2.8 : 7 = 32 : ?
  3. 3.Divide ₹580 between Manav and Isha in the ratio 1 : 9. How much does Isha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  5. 5.Divide ₹330 between Karan and Ishaan in the ratio 3 : 8. How much does Ishaan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  7. 7.8 : 4 = 32 : ?
  8. 8.Divide ₹252 between Dev and Meera in the ratio 5 : 9. How much does Meera get (in ₹)?
  9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  10. 10.5 : 7 = 25 : ?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Divide ₹72 between Ishaan and Zoya in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  13. 13.4 : 3 = 36 : ?
  14. 14.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  15. 15.4 : 15 = 28 : ?
  16. 16.Divide ₹85 between Tara and Saanvi in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  17. 17.Divide ₹616 between Arjun and Ananya in the ratio 9 : 5. How much does Arjun get (in ₹)?
  18. 18.Divide ₹360 between Kabir and Aditya in the ratio 7 : 1. How much does Aditya get (in ₹)?
  19. 19.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  20. 20.4 : 8 = 20 : ?
  21. 21.Divide ₹480 between Meera and Dev in the ratio 9 : 7. How much does Dev get (in ₹)?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  24. 24.Divide ₹420 between Nisha and Sneha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  25. 25.7 : 10 = 63 : ?
  26. 26.Divide ₹153 between Aarav and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  28. 28.Divide ₹138 between Rohan and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  30. 30.Divide ₹105 between Karan and Rahul in the ratio 1 : 4. How much does Rahul get (in ₹)?
  31. 31.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  32. 32.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  33. 33.Divide ₹286 between Karan and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  34. 34.Divide ₹147 between Arjun and Meera in the ratio 2 : 5. How much does Arjun get (in ₹)?
  35. 35.5 : 4 = 40 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  37. 37.Divide ₹80 between Meera and Vivaan in the ratio 9 : 7. How much does Vivaan get (in ₹)?
  38. 38.5 : 12 = 25 : ?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.Divide ₹403 between Tara and Diya in the ratio 6 : 7. How much does Tara get (in ₹)?

Answer key

  1. 91
  2. 28
  3. 522
  4. 2
  5. 240
  6. 8
  7. 16
  8. 162
  9. 24
  10. 35
  11. 18
  12. 24
  13. 27
  14. 12
  15. 105
  16. 40
  17. 396
  18. 45
  19. 64
  20. 40
  21. 210
  22. 8
  23. 32
  24. 378
  25. 90
  26. 17
  27. 35
  28. 92
  29. 72
  30. 84
  31. 144
  32. 20
  33. 110
  34. 42
  35. 32
  36. 6
  37. 35
  38. 60
  39. 75
  40. 186

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