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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 475 · 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 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Divide ₹247 between Rahul and Arjun in the ratio 6 : 7. How much does Arjun get (in ₹)?
  6. 6.Divide ₹840 between Priya and Nisha in the ratio 9 : 5. How much does Priya get (in ₹)?
  7. 7.Divide ₹300 between Arjun and Saanvi in the ratio 3 : 2. How much does Arjun get (in ₹)?
  8. 8.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.Divide ₹128 between Kabir and Pooja in the ratio 3 : 5. How much does Pooja get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  14. 14.3 : 10 = 18 : ?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  18. 18.12 : 11 = 72 : ?
  19. 19.Divide ₹315 between Rahul and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  20. 20.Divide ₹150 between Ananya and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
  21. 21.5 : 7 = 10 : ?
  22. 22.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  23. 23.Divide ₹676 between Kabir and Zoya in the ratio 5 : 8. How much does Kabir get (in ₹)?
  24. 24.Divide ₹91 between Priya and Karan in the ratio 6 : 1. How much does Karan get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  27. 27.Divide ₹169 between Zoya and Arjun in the ratio 7 : 6. How much does Zoya get (in ₹)?
  28. 28.Divide ₹561 between Pooja and Farhan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  29. 29.2 : 5 = 4 : ?
  30. 30.Divide ₹175 between Ishaan and Aditya in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  31. 31.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  32. 32.12 : 4 = 48 : ?
  33. 33.10 : 14 = 90 : ?
  34. 34.Divide ₹689 between Arjun and Zoya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  35. 35.11 : 10 = 44 : ?
  36. 36.Divide ₹315 between Dev and Karan in the ratio 4 : 5. How much does Dev get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  38. 38.12 : 4 = 24 : ?
  39. 39.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).

Answer key

  1. 36
  2. 14
  3. 72
  4. 54
  5. 133
  6. 540
  7. 180
  8. 150
  9. 75
  10. 35
  11. 12
  12. 80
  13. 3
  14. 60
  15. 36
  16. 18
  17. 10
  18. 66
  19. 175
  20. 80
  21. 14
  22. 30
  23. 260
  24. 13
  25. 64
  26. 35
  27. 91
  28. 306
  29. 10
  30. 35
  31. 48
  32. 16
  33. 126
  34. 477
  35. 40
  36. 140
  37. 24
  38. 8
  39. 35
  40. 50

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