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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 486 · 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 ₹308 between Arjun and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  4. 4.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  5. 5.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  6. 6.12 : 4 = 108 : ?
  7. 7.7 : 6 = 35 : ?
  8. 8.9 : 14 = 27 : ?
  9. 9.Divide ₹232 between Aditya and Rahul in the ratio 3 : 5. How much does Aditya get (in ₹)?
  10. 10.Divide ₹420 between Rahul and Rohan in the ratio 7 : 3. How much does Rohan get (in ₹)?
  11. 11.12 : 10 = 24 : ?
  12. 12.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  13. 13.Divide ₹108 between Kavya and Rohan in the ratio 2 : 1. How much does Kavya get (in ₹)?
  14. 14.Divide ₹270 between Zoya and Nisha in the ratio 7 : 2. How much does Nisha get (in ₹)?
  15. 15.Divide ₹264 between Nisha and Priya in the ratio 9 : 2. How much does Priya get (in ₹)?
  16. 16.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  17. 17.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  18. 18.3 : 4 = 21 : ?
  19. 19.9 : 12 = 27 : ?
  20. 20.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  21. 21.Divide ₹63 between Priya and Farhan in the ratio 4 : 5. How much does Farhan get (in ₹)?
  22. 22.10 : 8 = 20 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  24. 24.9 : 10 = 36 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  26. 26.Divide ₹290 between Farhan and Aditya in the ratio 3 : 7. How much does Aditya get (in ₹)?
  27. 27.Divide ₹42 between Rohan and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
  28. 28.Divide ₹390 between Pooja and Aarav in the ratio 6 : 7. How much does Pooja get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  30. 30.Divide ₹280 between Rohan and Tara in the ratio 5 : 3. How much does Tara get (in ₹)?
  31. 31.Divide ₹901 between Priya and Manav in the ratio 8 : 9. How much does Manav get (in ₹)?
  32. 32.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.5 : 2 = 35 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  36. 36.Divide ₹336 between Aditya and Diya in the ratio 5 : 3. How much does Aditya get (in ₹)?
  37. 37.6 : 10 = 30 : ?
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 168
  2. 54
  3. 40
  4. 45
  5. 8
  6. 36
  7. 30
  8. 42
  9. 87
  10. 126
  11. 20
  12. 27
  13. 72
  14. 60
  15. 48
  16. 200
  17. 48
  18. 28
  19. 36
  20. 50
  21. 35
  22. 16
  23. 2
  24. 40
  25. 56
  26. 203
  27. 30
  28. 180
  29. 7
  30. 105
  31. 477
  32. 75
  33. 96
  34. 14
  35. 30
  36. 210
  37. 50
  38. 16
  39. 40
  40. 81

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