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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 515 · 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 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.4 : 13 = 24 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  4. 4.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.12 : 6 = 84 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.Divide ₹156 between Meera and Aditya in the ratio 1 : 5. How much does Aditya get (in ₹)?
  10. 10.9 : 11 = 54 : ?
  11. 11.Divide ₹294 between Kabir and Diya in the ratio 3 : 4. How much does Kabir get (in ₹)?
  12. 12.11 : 9 = 55 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  14. 14.Divide ₹204 between Farhan and Manav in the ratio 3 : 1. How much does Farhan get (in ₹)?
  15. 15.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  17. 17.Divide ₹396 between Meera and Rahul in the ratio 5 : 4. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  21. 21.Divide ₹30 between Vivaan and Isha in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  22. 22.Divide ₹192 between Ananya and Vivaan in the ratio 5 : 7. How much does Ananya get (in ₹)?
  23. 23.6 : 15 = 18 : ?
  24. 24.Divide ₹484 between Zoya and Isha in the ratio 5 : 6. How much does Zoya get (in ₹)?
  25. 25.Divide ₹330 between Aditya and Karan in the ratio 1 : 5. How much does Aditya get (in ₹)?
  26. 26.5 : 3 = 45 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  28. 28.Divide ₹234 between Rohan and Rahul in the ratio 1 : 8. How much does Rahul get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  30. 30.Divide ₹220 between Arjun and Aarav in the ratio 2 : 9. How much does Arjun get (in ₹)?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.Divide ₹473 between Karan and Aditya in the ratio 9 : 2. How much does Karan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  34. 34.4 : 2 = 12 : ?
  35. 35.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  36. 36.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  38. 38.Divide ₹572 between Meera and Kavya in the ratio 7 : 6. How much does Meera get (in ₹)?
  39. 39.Divide ₹35 between Manav and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?

Answer key

  1. 32
  2. 78
  3. 30
  4. 112
  5. 128
  6. 42
  7. 27
  8. 48
  9. 130
  10. 66
  11. 126
  12. 45
  13. 5
  14. 153
  15. 125
  16. 18
  17. 176
  18. 20
  19. 21
  20. 28
  21. 25
  22. 80
  23. 45
  24. 220
  25. 55
  26. 27
  27. 35
  28. 208
  29. 81
  30. 40
  31. 24
  32. 387
  33. 30
  34. 6
  35. 96
  36. 54
  37. 50
  38. 308
  39. 15
  40. 27

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