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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 520 · 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).

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  1. 1.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  2. 2.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  4. 4.Divide ₹341 between Rohan and Diya in the ratio 7 : 4. How much does Rohan get (in ₹)?
  5. 5.9 : 7 = 63 : ?
  6. 6.3 : 9 = 24 : ?
  7. 7.Divide ₹84 between Arjun and Zoya in the ratio 1 : 6. How much does Arjun get (in ₹)?
  8. 8.Divide ₹215 between Saanvi and Nisha in the ratio 3 : 2. How much does Nisha get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  10. 10.Divide ₹154 between Arjun and Kabir in the ratio 1 : 6. How much does Arjun get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  12. 12.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  13. 13.6 : 10 = 42 : ?
  14. 14.Divide ₹280 between Rohan and Farhan in the ratio 1 : 6. How much does Farhan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  16. 16.12 : 15 = 60 : ?
  17. 17.Divide ₹348 between Nisha and Meera in the ratio 1 : 5. How much does Nisha get (in ₹)?
  18. 18.3 : 15 = 15 : ?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.2 : 12 = 10 : ?
  21. 21.6 : 10 = 24 : ?
  22. 22.10 : 6 = 90 : ?
  23. 23.Divide ₹64 between Saanvi and Aarav in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  24. 24.6 : 15 = 12 : ?
  25. 25.Divide ₹28 between Arjun and Nisha in the ratio 1 : 3. How much does Arjun get (in ₹)?
  26. 26.9 : 12 = 81 : ?
  27. 27.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.Divide ₹20 between Isha and Kabir in the ratio 3 : 1. How much does Kabir get (in ₹)?
  30. 30.8 : 15 = 56 : ?
  31. 31.Divide ₹376 between Nisha and Aditya in the ratio 3 : 5. How much does Nisha get (in ₹)?
  32. 32.Divide ₹161 between Nisha and Sneha in the ratio 1 : 6. How much does Sneha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
  35. 35.Divide ₹728 between Isha and Rohan in the ratio 4 : 9. How much does Isha get (in ₹)?
  36. 36.3 : 13 = 9 : ?
  37. 37.Divide ₹468 between Kabir and Rahul in the ratio 4 : 9. How much does Kabir get (in ₹)?
  38. 38.Divide ₹169 between Aarav and Meera in the ratio 4 : 9. How much does Aarav get (in ₹)?
  39. 39.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  40. 40.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?

Answer key

  1. 125
  2. 8
  3. 21
  4. 217
  5. 49
  6. 72
  7. 12
  8. 86
  9. 20
  10. 22
  11. 16
  12. 32
  13. 70
  14. 240
  15. 6
  16. 75
  17. 58
  18. 75
  19. 48
  20. 60
  21. 40
  22. 54
  23. 8
  24. 30
  25. 7
  26. 108
  27. 144
  28. 112
  29. 5
  30. 105
  31. 141
  32. 138
  33. 8
  34. 81
  35. 224
  36. 39
  37. 144
  38. 52
  39. 8
  40. 10

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