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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 915 · 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 3 : 7. There are 21 boys. How many girls are there?
  2. 2.4 : 15 = 32 : ?
  3. 3.Divide ₹64 between Kabir and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  4. 4.Divide ₹184 between Nisha and Arjun in the ratio 1 : 3. How much does Nisha get (in ₹)?
  5. 5.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  6. 6.Divide ₹360 between Sneha and Nisha in the ratio 9 : 1. How much does Sneha get (in ₹)?
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  10. 10.Divide ₹78 between Kavya and Ananya in the ratio 1 : 5. How much does Ananya get (in ₹)?
  11. 11.8 : 12 = 24 : ?
  12. 12.5 : 7 = 15 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  14. 14.4 : 3 = 12 : ?
  15. 15.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  18. 18.Divide ₹49 between Rohan and Zoya in the ratio 6 : 1. How much does Zoya get (in ₹)?
  19. 19.Divide ₹141 between Zoya and Sneha in the ratio 1 : 2. How much does Zoya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  21. 21.6 : 11 = 48 : ?
  22. 22.5 : 6 = 15 : ?
  23. 23.Divide ₹516 between Aditya and Rahul in the ratio 5 : 7. How much does Aditya get (in ₹)?
  24. 24.Divide ₹240 between Sneha and Aditya in the ratio 8 : 7. How much does Sneha get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  26. 26.Divide ₹258 between Nisha and Tara in the ratio 5 : 1. How much does Nisha get (in ₹)?
  27. 27.8 : 7 = 48 : ?
  28. 28.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  32. 32.Divide ₹162 between Karan and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  34. 34.5 : 10 = 15 : ?
  35. 35.Divide ₹165 between Aditya and Priya in the ratio 4 : 7. How much does Priya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  38. 38.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  39. 39.9 : 8 = 63 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?

Answer key

  1. 49
  2. 120
  3. 56
  4. 46
  5. 80
  6. 324
  7. 175
  8. 10
  9. 48
  10. 65
  11. 36
  12. 21
  13. 36
  14. 9
  15. 50
  16. 30
  17. 40
  18. 7
  19. 47
  20. 48
  21. 88
  22. 18
  23. 215
  24. 128
  25. 24
  26. 215
  27. 42
  28. 6
  29. 32
  30. 72
  31. 18
  32. 36
  33. 5
  34. 30
  35. 105
  36. 24
  37. 36
  38. 64
  39. 56
  40. 4

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