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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 815 · 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 ₹638 between Kavya and Karan in the ratio 2 : 9. How much does Kavya get (in ₹)?
  2. 2.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.Divide ₹63 between Diya and Isha in the ratio 4 : 5. How much does Diya get (in ₹)?
  5. 5.6 : 3 = 48 : ?
  6. 6.8 : 6 = 56 : ?
  7. 7.Divide ₹90 between Ananya and Sneha in the ratio 5 : 1. How much does Sneha get (in ₹)?
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.5 : 13 = 40 : ?
  10. 10.Divide ₹627 between Zoya and Ananya in the ratio 4 : 7. How much does Zoya get (in ₹)?
  11. 11.Divide ₹180 between Diya and Karan in the ratio 7 : 3. How much does Karan get (in ₹)?
  12. 12.12 : 11 = 108 : ?
  13. 13.Divide ₹80 between Vivaan and Kavya in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  14. 14.Divide ₹221 between Rohan and Vivaan in the ratio 5 : 8. How much does Rohan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  16. 16.4 : 6 = 8 : ?
  17. 17.2 : 15 = 6 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  20. 20.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  21. 21.Divide ₹200 between Vivaan and Rahul in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  22. 22.7 : 15 = 14 : ?
  23. 23.Divide ₹121 between Meera and Priya in the ratio 3 : 8. How much does Priya get (in ₹)?
  24. 24.Divide ₹767 between Aarav and Sneha in the ratio 6 : 7. How much does Sneha get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  26. 26.4 : 11 = 8 : ?
  27. 27.Divide ₹640 between Ishaan and Sneha in the ratio 7 : 9. How much does Sneha get (in ₹)?
  28. 28.Divide ₹176 between Arjun and Aditya in the ratio 6 : 5. How much does Aditya get (in ₹)?
  29. 29.Divide ₹440 between Saanvi and Aditya in the ratio 1 : 9. How much does Aditya get (in ₹)?
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.Divide ₹715 between Ananya and Ishaan in the ratio 8 : 5. How much does Ananya get (in ₹)?
  33. 33.5 : 13 = 25 : ?
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  35. 35.Divide ₹649 between Tara and Aarav in the ratio 5 : 6. How much does Tara get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  37. 37.2 : 6 = 18 : ?
  38. 38.Divide ₹300 between Nisha and Aarav in the ratio 9 : 1. How much does Nisha get (in ₹)?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.7 : 6 = 49 : ?

Answer key

  1. 116
  2. 128
  3. 8
  4. 28
  5. 24
  6. 42
  7. 15
  8. 32
  9. 104
  10. 228
  11. 54
  12. 99
  13. 72
  14. 85
  15. 90
  16. 12
  17. 45
  18. 18
  19. 28
  20. 54
  21. 20
  22. 30
  23. 88
  24. 413
  25. 25
  26. 22
  27. 360
  28. 80
  29. 396
  30. 48
  31. 100
  32. 440
  33. 65
  34. 4
  35. 295
  36. 6
  37. 54
  38. 270
  39. 75
  40. 42

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