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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 323 · 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 2 and 8 (that is, 2 : 8 = 8 : ?).
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.Divide ₹210 between Kavya and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  5. 5.9 : 8 = 72 : ?
  6. 6.Divide ₹390 between Arjun and Rohan in the ratio 8 : 5. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.Divide ₹120 between Kabir and Ishaan in the ratio 3 : 7. How much does Kabir get (in ₹)?
  9. 9.2 : 12 = 8 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  11. 11.2 : 4 = 6 : ?
  12. 12.Divide ₹159 between Dev and Saanvi in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  13. 13.9 : 12 = 27 : ?
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.Divide ₹51 between Ishaan and Aarav in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  22. 22.Divide ₹177 between Rahul and Arjun in the ratio 1 : 2. How much does Rahul get (in ₹)?
  23. 23.Divide ₹110 between Sneha and Kabir in the ratio 1 : 9. How much does Kabir get (in ₹)?
  24. 24.2 : 9 = 16 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  26. 26.6 : 10 = 12 : ?
  27. 27.Divide ₹390 between Diya and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  28. 28.Divide ₹117 between Diya and Sneha in the ratio 5 : 4. How much does Diya get (in ₹)?
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.Divide ₹384 between Aarav and Aditya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  33. 33.Divide ₹608 between Manav and Rahul in the ratio 7 : 9. How much does Rahul get (in ₹)?
  34. 34.Divide ₹124 between Tara and Ananya in the ratio 3 : 1. How much does Tara get (in ₹)?
  35. 35.8 : 14 = 16 : ?
  36. 36.Divide ₹364 between Kabir and Diya in the ratio 1 : 6. How much does Kabir get (in ₹)?
  37. 37.5 : 4 = 45 : ?
  38. 38.9 : 13 = 72 : ?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

Answer key

  1. 32
  2. 20
  3. 144
  4. 147
  5. 64
  6. 240
  7. 36
  8. 36
  9. 48
  10. 8
  11. 12
  12. 106
  13. 36
  14. 50
  15. 17
  16. 150
  17. 96
  18. 28
  19. 36
  20. 12
  21. 5
  22. 59
  23. 99
  24. 72
  25. 90
  26. 20
  27. 117
  28. 65
  29. 225
  30. 240
  31. 4
  32. 50
  33. 342
  34. 93
  35. 28
  36. 52
  37. 36
  38. 104
  39. 27
  40. 100

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