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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 854 · 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.Divide ₹250 between Karan and Diya in the ratio 1 : 9. How much does Karan get (in ₹)?
  2. 2.Divide ₹490 between Pooja and Dev in the ratio 3 : 7. How much does Dev get (in ₹)?
  3. 3.Divide ₹378 between Aarav and Arjun in the ratio 9 : 5. How much does Aarav get (in ₹)?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.5 : 7 = 25 : ?
  6. 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.Divide ₹490 between Karan and Tara in the ratio 9 : 1. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  12. 12.4 : 2 = 8 : ?
  13. 13.12 : 10 = 60 : ?
  14. 14.11 : 4 = 77 : ?
  15. 15.10 : 4 = 50 : ?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.Divide ₹275 between Diya and Tara in the ratio 6 : 5. How much does Diya get (in ₹)?
  18. 18.Divide ₹108 between Aarav and Isha in the ratio 1 : 8. How much does Aarav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  20. 20.9 : 5 = 18 : ?
  21. 21.Divide ₹520 between Tara and Kabir in the ratio 7 : 3. How much does Tara get (in ₹)?
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.Divide ₹825 between Vivaan and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  24. 24.4 : 5 = 28 : ?
  25. 25.5 : 9 = 20 : ?
  26. 26.Divide ₹570 between Ishaan and Nisha in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  28. 28.8 : 3 = 16 : ?
  29. 29.Divide ₹144 between Karan and Tara in the ratio 2 : 1. How much does Karan get (in ₹)?
  30. 30.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  31. 31.3 : 6 = 12 : ?
  32. 32.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  33. 33.Divide ₹96 between Dev and Karan in the ratio 1 : 2. How much does Dev get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  35. 35.Divide ₹126 between Arjun and Ananya in the ratio 2 : 1. How much does Arjun get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  37. 37.10 : 8 = 40 : ?
  38. 38.5 : 6 = 35 : ?
  39. 39.Divide ₹552 between Priya and Rohan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  40. 40.11 : 13 = 22 : ?

Answer key

  1. 25
  2. 343
  3. 243
  4. 18
  5. 35
  6. 75
  7. 225
  8. 125
  9. 12
  10. 441
  11. 20
  12. 4
  13. 50
  14. 28
  15. 20
  16. 100
  17. 150
  18. 12
  19. 81
  20. 10
  21. 364
  22. 96
  23. 385
  24. 35
  25. 36
  26. 304
  27. 35
  28. 6
  29. 96
  30. 32
  31. 24
  32. 80
  33. 32
  34. 6
  35. 84
  36. 45
  37. 32
  38. 42
  39. 230
  40. 26

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