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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 678 · 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 8 (that is, 4 : 8 = 8 : ?).
  2. 2.3 : 4 = 12 : ?
  3. 3.Divide ₹315 between Zoya and Ishaan in the ratio 4 : 5. How much does Ishaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  5. 5.Divide ₹273 between Zoya and Rohan in the ratio 4 : 9. How much does Rohan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  10. 10.6 : 14 = 54 : ?
  11. 11.4 : 3 = 24 : ?
  12. 12.Divide ₹42 between Saanvi and Zoya in the ratio 6 : 1. How much does Zoya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  15. 15.Divide ₹184 between Pooja and Nisha in the ratio 1 : 3. How much does Nisha get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  18. 18.Divide ₹156 between Pooja and Vivaan in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  19. 19.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  21. 21.Divide ₹120 between Diya and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  22. 22.4 : 7 = 24 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  29. 29.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.Divide ₹207 between Aarav and Ishaan in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  33. 33.6 : 5 = 18 : ?
  34. 34.Divide ₹180 between Vivaan and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  35. 35.Divide ₹590 between Kavya and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  36. 36.5 : 9 = 30 : ?
  37. 37.Divide ₹114 between Saanvi and Rohan in the ratio 2 : 1. How much does Rohan get (in ₹)?
  38. 38.Divide ₹75 between Arjun and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  39. 39.7 : 13 = 35 : ?
  40. 40.5 : 8 = 15 : ?

Answer key

  1. 16
  2. 16
  3. 175
  4. 42
  5. 189
  6. 72
  7. 18
  8. 12
  9. 80
  10. 126
  11. 18
  12. 6
  13. 45
  14. 40
  15. 138
  16. 9
  17. 28
  18. 39
  19. 24
  20. 3
  21. 48
  22. 42
  23. 25
  24. 14
  25. 12
  26. 40
  27. 12
  28. 14
  29. 128
  30. 32
  31. 28
  32. 184
  33. 15
  34. 162
  35. 59
  36. 54
  37. 38
  38. 35
  39. 65
  40. 24

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