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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 38 · 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.Divide ₹234 between Vivaan and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  3. 3.4 : 3 = 16 : ?
  4. 4.4 : 6 = 28 : ?
  5. 5.2 : 12 = 16 : ?
  6. 6.Divide ₹451 between Priya and Arjun in the ratio 8 : 3. How much does Priya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  8. 8.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  9. 9.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  10. 10.3 : 8 = 12 : ?
  11. 11.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  12. 12.Divide ₹42 between Ishaan and Farhan in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  13. 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  14. 14.Divide ₹68 between Zoya and Isha in the ratio 3 : 1. How much does Isha get (in ₹)?
  15. 15.Divide ₹608 between Priya and Pooja in the ratio 9 : 7. How much does Priya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  17. 17.Divide ₹371 between Isha and Nisha in the ratio 1 : 6. How much does Isha get (in ₹)?
  18. 18.6 : 5 = 30 : ?
  19. 19.Divide ₹300 between Arjun and Isha in the ratio 7 : 5. How much does Isha get (in ₹)?
  20. 20.6 : 9 = 24 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  22. 22.Divide ₹456 between Manav and Ananya in the ratio 7 : 1. How much does Manav get (in ₹)?
  23. 23.Divide ₹32 between Ishaan and Vivaan in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  24. 24.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  25. 25.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  26. 26.3 : 11 = 6 : ?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  29. 29.8 : 9 = 16 : ?
  30. 30.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  32. 32.Divide ₹155 between Isha and Arjun in the ratio 4 : 1. How much does Isha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  35. 35.Divide ₹60 between Ananya and Farhan in the ratio 5 : 1. How much does Ananya get (in ₹)?
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  40. 40.Divide ₹160 between Rahul and Manav in the ratio 7 : 1. How much does Rahul get (in ₹)?

Answer key

  1. 182
  2. 8
  3. 12
  4. 42
  5. 96
  6. 328
  7. 81
  8. 112
  9. 8
  10. 32
  11. 72
  12. 14
  13. 75
  14. 17
  15. 342
  16. 45
  17. 53
  18. 25
  19. 125
  20. 36
  21. 64
  22. 399
  23. 24
  24. 81
  25. 80
  26. 22
  27. 28
  28. 30
  29. 18
  30. 14
  31. 16
  32. 124
  33. 32
  34. 49
  35. 50
  36. 64
  37. 10
  38. 32
  39. 6
  40. 140

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