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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 5 · 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 ₹77 between Zoya and Isha in the ratio 8 : 3. How much does Zoya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  4. 4.Divide ₹144 between Dev and Pooja in the ratio 5 : 7. How much does Pooja get (in ₹)?
  5. 5.Divide ₹506 between Rahul and Karan in the ratio 2 : 9. How much does Rahul get (in ₹)?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  9. 9.7 : 13 = 49 : ?
  10. 10.Divide ₹248 between Manav and Tara in the ratio 5 : 3. How much does Manav get (in ₹)?
  11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  12. 12.2 : 10 = 8 : ?
  13. 13.Divide ₹180 between Rohan and Pooja in the ratio 1 : 9. How much does Rohan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  15. 15.3 : 9 = 21 : ?
  16. 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  17. 17.Divide ₹286 between Tara and Manav in the ratio 4 : 7. How much does Manav get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  20. 20.Divide ₹432 between Priya and Ananya in the ratio 9 : 7. How much does Priya get (in ₹)?
  21. 21.7 : 6 = 21 : ?
  22. 22.8 : 5 = 16 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  24. 24.Divide ₹144 between Isha and Arjun in the ratio 1 : 8. How much does Isha get (in ₹)?
  25. 25.7 : 5 = 49 : ?
  26. 26.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  27. 27.Divide ₹336 between Isha and Farhan in the ratio 5 : 9. How much does Isha get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  29. 29.Divide ₹550 between Ishaan and Pooja in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  30. 30.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  32. 32.9 : 4 = 36 : ?
  33. 33.6 : 10 = 18 : ?
  34. 34.8 : 7 = 32 : ?
  35. 35.5 : 14 = 25 : ?
  36. 36.Divide ₹462 between Sneha and Pooja in the ratio 4 : 7. How much does Pooja get (in ₹)?
  37. 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  40. 40.6 : 2 = 54 : ?

Answer key

  1. 56
  2. 6
  3. 200
  4. 84
  5. 92
  6. 8
  7. 54
  8. 30
  9. 91
  10. 155
  11. 150
  12. 40
  13. 18
  14. 28
  15. 63
  16. 48
  17. 182
  18. 63
  19. 21
  20. 243
  21. 18
  22. 10
  23. 24
  24. 16
  25. 35
  26. 9
  27. 120
  28. 40
  29. 350
  30. 45
  31. 18
  32. 16
  33. 30
  34. 28
  35. 70
  36. 294
  37. 28
  38. 30
  39. 36
  40. 18

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