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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 965 · 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. 1.6 : 12 = 48 : ?
  2. 2.3 : 11 = 18 : ?
  3. 3.2 : 11 = 14 : ?
  4. 4.7 : 9 = 28 : ?
  5. 5.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.5 : 13 = 25 : ?
  10. 10.6 : 3 = 12 : ?
  11. 11.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  12. 12.Divide ₹168 between Zoya and Isha in the ratio 1 : 2. How much does Zoya get (in ₹)?
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.Divide ₹234 between Kabir and Kavya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  16. 16.8 : 5 = 72 : ?
  17. 17.Divide ₹616 between Karan and Ananya in the ratio 8 : 3. How much does Karan get (in ₹)?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  22. 22.Divide ₹324 between Kavya and Nisha in the ratio 5 : 1. How much does Nisha get (in ₹)?
  23. 23.8 : 13 = 72 : ?
  24. 24.12 : 4 = 60 : ?
  25. 25.Divide ₹70 between Dev and Aarav in the ratio 4 : 1. How much does Dev get (in ₹)?
  26. 26.12 : 11 = 72 : ?
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  28. 28.Divide ₹605 between Meera and Priya in the ratio 8 : 3. How much does Meera get (in ₹)?
  29. 29.Divide ₹540 between Saanvi and Farhan in the ratio 4 : 5. How much does Farhan get (in ₹)?
  30. 30.4 : 8 = 20 : ?
  31. 31.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  36. 36.3 : 9 = 6 : ?
  37. 37.Divide ₹378 between Arjun and Sneha in the ratio 4 : 5. How much does Sneha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  40. 40.8 : 13 = 56 : ?

Answer key

  1. 96
  2. 66
  3. 77
  4. 36
  5. 54
  6. 24
  7. 90
  8. 8
  9. 65
  10. 6
  11. 20
  12. 56
  13. 16
  14. 26
  15. 175
  16. 45
  17. 448
  18. 144
  19. 63
  20. 100
  21. 20
  22. 54
  23. 117
  24. 20
  25. 56
  26. 66
  27. 21
  28. 440
  29. 300
  30. 40
  31. 27
  32. 200
  33. 125
  34. 14
  35. 50
  36. 18
  37. 210
  38. 4
  39. 14
  40. 91

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