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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 513 · 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 1 : 3. There are 3 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  3. 3.Divide ₹25 between Kavya and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
  4. 4.Divide ₹130 between Arjun and Ananya in the ratio 1 : 4. How much does Ananya get (in ₹)?
  5. 5.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  6. 6.4 : 13 = 12 : ?
  7. 7.2 : 7 = 14 : ?
  8. 8.Divide ₹99 between Dev and Farhan in the ratio 1 : 8. How much does Dev get (in ₹)?
  9. 9.Divide ₹480 between Sneha and Vivaan in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  10. 10.12 : 15 = 36 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  12. 12.11 : 8 = 66 : ?
  13. 13.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  14. 14.5 : 3 = 45 : ?
  15. 15.Divide ₹561 between Diya and Karan in the ratio 7 : 4. How much does Karan get (in ₹)?
  16. 16.4 : 14 = 32 : ?
  17. 17.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  18. 18.7 : 10 = 21 : ?
  19. 19.4 : 6 = 28 : ?
  20. 20.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  21. 21.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  22. 22.Divide ₹649 between Karan and Arjun in the ratio 6 : 5. How much does Arjun get (in ₹)?
  23. 23.6 : 11 = 48 : ?
  24. 24.Divide ₹234 between Rohan and Vivaan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  25. 25.3 : 6 = 12 : ?
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.Divide ₹282 between Zoya and Nisha in the ratio 5 : 1. How much does Nisha get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  31. 31.3 : 10 = 18 : ?
  32. 32.Divide ₹473 between Aarav and Rahul in the ratio 7 : 4. How much does Aarav get (in ₹)?
  33. 33.Divide ₹144 between Arjun and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
  34. 34.5 : 2 = 30 : ?
  35. 35.Divide ₹343 between Isha and Priya in the ratio 6 : 1. How much does Isha get (in ₹)?
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.Divide ₹81 between Karan and Rahul in the ratio 2 : 1. How much does Karan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  39. 39.Divide ₹250 between Priya and Aarav in the ratio 1 : 9. How much does Priya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?

Answer key

  1. 9
  2. 24
  3. 5
  4. 104
  5. 112
  6. 39
  7. 49
  8. 11
  9. 48
  10. 45
  11. 12
  12. 48
  13. 8
  14. 27
  15. 204
  16. 112
  17. 144
  18. 30
  19. 42
  20. 7
  21. 36
  22. 295
  23. 88
  24. 182
  25. 24
  26. 70
  27. 32
  28. 28
  29. 47
  30. 10
  31. 60
  32. 301
  33. 24
  34. 12
  35. 294
  36. 128
  37. 54
  38. 8
  39. 25
  40. 3

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