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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 526 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.Divide ₹715 between Ananya and Kabir in the ratio 9 : 4. How much does Ananya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  5. 5.Divide ₹360 between Meera and Rohan in the ratio 1 : 5. How much does Rohan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  8. 8.6 : 2 = 54 : ?
  9. 9.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  10. 10.Divide ₹216 between Priya and Sneha in the ratio 5 : 3. How much does Priya get (in ₹)?
  11. 11.9 : 2 = 18 : ?
  12. 12.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  14. 14.8 : 14 = 64 : ?
  15. 15.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  17. 17.8 : 11 = 16 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  19. 19.Divide ₹129 between Ishaan and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  21. 21.10 : 8 = 40 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  23. 23.11 : 3 = 88 : ?
  24. 24.Divide ₹248 between Aarav and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  29. 29.Divide ₹468 between Tara and Aarav in the ratio 8 : 1. How much does Tara get (in ₹)?
  30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  31. 31.Divide ₹273 between Arjun and Ananya in the ratio 1 : 6. How much does Arjun get (in ₹)?
  32. 32.Divide ₹590 between Rahul and Arjun in the ratio 1 : 9. How much does Arjun get (in ₹)?
  33. 33.2 : 15 = 4 : ?
  34. 34.Divide ₹245 between Meera and Sneha in the ratio 2 : 3. How much does Meera get (in ₹)?
  35. 35.Divide ₹200 between Saanvi and Dev in the ratio 2 : 3. How much does Dev get (in ₹)?
  36. 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  37. 37.Divide ₹221 between Nisha and Kavya in the ratio 8 : 9. How much does Nisha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?

Answer key

  1. 45
  2. 495
  3. 9
  4. 8
  5. 300
  6. 4
  7. 125
  8. 18
  9. 18
  10. 135
  11. 4
  12. 49
  13. 32
  14. 112
  15. 42
  16. 50
  17. 22
  18. 15
  19. 86
  20. 16
  21. 32
  22. 20
  23. 24
  24. 93
  25. 4
  26. 175
  27. 24
  28. 7
  29. 416
  30. 27
  31. 39
  32. 531
  33. 30
  34. 98
  35. 120
  36. 32
  37. 104
  38. 25
  39. 10
  40. 70

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