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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 641 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  4. 4.7 : 14 = 28 : ?
  5. 5.Divide ₹324 between Karan and Sneha in the ratio 5 : 7. How much does Sneha get (in ₹)?
  6. 6.4 : 6 = 24 : ?
  7. 7.Divide ₹434 between Meera and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  8. 8.Divide ₹468 between Pooja and Meera in the ratio 8 : 5. How much does Pooja get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Divide ₹80 between Sneha and Aditya in the ratio 7 : 3. How much does Sneha get (in ₹)?
  12. 12.Divide ₹198 between Ishaan and Ananya in the ratio 6 : 5. How much does Ananya get (in ₹)?
  13. 13.7 : 9 = 21 : ?
  14. 14.Divide ₹63 between Diya and Pooja in the ratio 4 : 5. How much does Diya get (in ₹)?
  15. 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  16. 16.9 : 12 = 54 : ?
  17. 17.12 : 2 = 60 : ?
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  22. 22.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  23. 23.12 : 9 = 60 : ?
  24. 24.2 : 9 = 14 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  26. 26.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.Divide ₹70 between Pooja and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.Divide ₹168 between Rohan and Farhan in the ratio 3 : 4. How much does Farhan get (in ₹)?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  34. 34.Divide ₹407 between Saanvi and Priya in the ratio 8 : 3. How much does Priya get (in ₹)?
  35. 35.7 : 2 = 14 : ?
  36. 36.8 : 10 = 48 : ?
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?

Answer key

  1. 50
  2. 175
  3. 40
  4. 56
  5. 189
  6. 36
  7. 155
  8. 288
  9. 21
  10. 128
  11. 56
  12. 90
  13. 27
  14. 28
  15. 8
  16. 72
  17. 10
  18. 18
  19. 20
  20. 112
  21. 30
  22. 125
  23. 45
  24. 63
  25. 10
  26. 225
  27. 200
  28. 20
  29. 63
  30. 96
  31. 27
  32. 28
  33. 54
  34. 111
  35. 4
  36. 60
  37. 81
  38. 80
  39. 25
  40. 12

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