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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 507 · 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 ₹204 between Sneha and Aditya in the ratio 3 : 1. How much does Aditya get (in ₹)?
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.10 : 11 = 70 : ?
  4. 4.2 : 11 = 16 : ?
  5. 5.Divide ₹52 between Priya and Farhan in the ratio 1 : 3. How much does Priya get (in ₹)?
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Divide ₹289 between Rohan and Priya in the ratio 9 : 8. How much does Priya get (in ₹)?
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.Divide ₹180 between Meera and Aditya in the ratio 1 : 8. How much does Meera get (in ₹)?
  10. 10.Divide ₹112 between Manav and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
  11. 11.Divide ₹144 between Sneha and Priya in the ratio 2 : 1. How much does Sneha get (in ₹)?
  12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  13. 13.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.8 : 4 = 48 : ?
  17. 17.Divide ₹140 between Dev and Farhan in the ratio 2 : 5. How much does Dev get (in ₹)?
  18. 18.12 : 8 = 24 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  20. 20.10 : 11 = 20 : ?
  21. 21.Divide ₹540 between Tara and Ishaan in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  24. 24.Divide ₹160 between Rohan and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.Divide ₹270 between Tara and Isha in the ratio 2 : 3. How much does Tara get (in ₹)?
  27. 27.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  29. 29.Divide ₹220 between Saanvi and Farhan in the ratio 1 : 4. How much does Farhan get (in ₹)?
  30. 30.Divide ₹462 between Arjun and Ishaan in the ratio 5 : 6. How much does Ishaan get (in ₹)?
  31. 31.5 : 6 = 40 : ?
  32. 32.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  37. 37.Divide ₹224 between Pooja and Sneha in the ratio 1 : 3. How much does Pooja get (in ₹)?
  38. 38.7 : 12 = 35 : ?
  39. 39.Divide ₹590 between Rohan and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  40. 40.12 : 6 = 36 : ?

Answer key

  1. 51
  2. 32
  3. 77
  4. 88
  5. 13
  6. 54
  7. 136
  8. 28
  9. 20
  10. 80
  11. 96
  12. 48
  13. 125
  14. 20
  15. 16
  16. 24
  17. 40
  18. 16
  19. 8
  20. 22
  21. 225
  22. 36
  23. 225
  24. 48
  25. 12
  26. 108
  27. 175
  28. 2
  29. 176
  30. 252
  31. 48
  32. 12
  33. 24
  34. 75
  35. 15
  36. 80
  37. 56
  38. 60
  39. 59
  40. 18

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