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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 158 · 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.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  3. 3.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  4. 4.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  5. 5.Divide ₹143 between Kabir and Nisha in the ratio 5 : 6. How much does Kabir get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.8 : 6 = 64 : ?
  9. 9.Divide ₹561 between Rohan and Ananya in the ratio 8 : 3. How much does Rohan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  13. 13.Divide ₹406 between Arjun and Tara in the ratio 5 : 2. How much does Arjun get (in ₹)?
  14. 14.Divide ₹205 between Karan and Vivaan in the ratio 2 : 3. How much does Karan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.7 : 12 = 42 : ?
  18. 18.Divide ₹473 between Vivaan and Pooja in the ratio 2 : 9. How much does Pooja get (in ₹)?
  19. 19.4 : 9 = 8 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  23. 23.Divide ₹312 between Isha and Zoya in the ratio 5 : 8. How much does Zoya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.Divide ₹256 between Nisha and Diya in the ratio 7 : 9. How much does Diya get (in ₹)?
  29. 29.Divide ₹143 between Rohan and Manav in the ratio 9 : 2. How much does Rohan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  31. 31.Divide ₹442 between Rahul and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  33. 33.Divide ₹248 between Meera and Arjun in the ratio 7 : 1. How much does Arjun get (in ₹)?
  34. 34.5 : 11 = 20 : ?
  35. 35.10 : 5 = 80 : ?
  36. 36.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  37. 37.2 : 11 = 16 : ?
  38. 38.6 : 8 = 48 : ?
  39. 39.Divide ₹585 between Zoya and Rahul in the ratio 9 : 4. How much does Zoya get (in ₹)?
  40. 40.Divide ₹612 between Rohan and Tara in the ratio 8 : 9. How much does Rohan get (in ₹)?

Answer key

  1. 16
  2. 72
  3. 96
  4. 32
  5. 65
  6. 14
  7. 225
  8. 48
  9. 408
  10. 7
  11. 18
  12. 8
  13. 290
  14. 82
  15. 49
  16. 150
  17. 72
  18. 387
  19. 18
  20. 48
  21. 21
  22. 18
  23. 192
  24. 10
  25. 50
  26. 42
  27. 112
  28. 144
  29. 117
  30. 45
  31. 238
  32. 45
  33. 31
  34. 44
  35. 40
  36. 81
  37. 88
  38. 64
  39. 405
  40. 288

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