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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 213 · 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 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.Divide ₹390 between Ishaan and Dev in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  3. 3.Divide ₹441 between Kabir and Karan in the ratio 5 : 4. How much does Karan get (in ₹)?
  4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.Divide ₹255 between Tara and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.Divide ₹144 between Saanvi and Ishaan in the ratio 7 : 5. How much does Saanvi get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  10. 10.3 : 13 = 6 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  12. 12.Divide ₹198 between Arjun and Meera in the ratio 4 : 7. How much does Arjun get (in ₹)?
  13. 13.8 : 12 = 72 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  17. 17.3 : 9 = 21 : ?
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  20. 20.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  21. 21.Divide ₹272 between Kavya and Farhan in the ratio 8 : 9. How much does Farhan get (in ₹)?
  22. 22.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  23. 23.Divide ₹230 between Pooja and Vivaan in the ratio 3 : 7. How much does Vivaan get (in ₹)?
  24. 24.Divide ₹35 between Tara and Diya in the ratio 1 : 6. How much does Tara get (in ₹)?
  25. 25.Divide ₹352 between Zoya and Rohan in the ratio 5 : 3. How much does Rohan get (in ₹)?
  26. 26.6 : 10 = 54 : ?
  27. 27.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  29. 29.Divide ₹342 between Priya and Kavya in the ratio 2 : 7. How much does Kavya get (in ₹)?
  30. 30.12 : 5 = 36 : ?
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.6 : 13 = 54 : ?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  36. 36.Divide ₹78 between Kabir and Vivaan in the ratio 6 : 7. How much does Kabir get (in ₹)?
  37. 37.6 : 15 = 54 : ?
  38. 38.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  39. 39.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?

Answer key

  1. 128
  2. 120
  3. 196
  4. 12
  5. 28
  6. 153
  7. 54
  8. 84
  9. 63
  10. 26
  11. 15
  12. 72
  13. 108
  14. 24
  15. 72
  16. 42
  17. 63
  18. 20
  19. 63
  20. 36
  21. 144
  22. 18
  23. 161
  24. 5
  25. 132
  26. 90
  27. 9
  28. 36
  29. 266
  30. 15
  31. 32
  32. 117
  33. 50
  34. 16
  35. 25
  36. 36
  37. 135
  38. 12
  39. 225
  40. 7

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