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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 894 · 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 : 4 = 36 : ?
  2. 2.Divide ₹70 between Vivaan and Isha in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.3 : 11 = 6 : ?
  5. 5.10 : 5 = 30 : ?
  6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  7. 7.6 : 10 = 54 : ?
  8. 8.9 : 11 = 81 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  11. 11.Divide ₹81 between Sneha and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  13. 13.4 : 15 = 36 : ?
  14. 14.Divide ₹816 between Diya and Priya in the ratio 9 : 8. How much does Priya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.Divide ₹295 between Aarav and Manav in the ratio 3 : 2. How much does Manav get (in ₹)?
  20. 20.7 : 8 = 28 : ?
  21. 21.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  22. 22.Divide ₹315 between Meera and Ishaan in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  29. 29.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  30. 30.Divide ₹598 between Rahul and Aditya in the ratio 6 : 7. How much does Rahul get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  32. 32.Divide ₹312 between Priya and Zoya in the ratio 5 : 1. How much does Priya get (in ₹)?
  33. 33.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  34. 34.11 : 15 = 77 : ?
  35. 35.5 : 11 = 20 : ?
  36. 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  37. 37.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  38. 38.Divide ₹180 between Kabir and Farhan in the ratio 8 : 7. How much does Farhan get (in ₹)?
  39. 39.Divide ₹32 between Arjun and Ishaan in the ratio 3 : 1. How much does Arjun get (in ₹)?
  40. 40.8 : 2 = 48 : ?

Answer key

  1. 24
  2. 14
  3. 27
  4. 22
  5. 15
  6. 150
  7. 90
  8. 99
  9. 45
  10. 12
  11. 45
  12. 7
  13. 135
  14. 384
  15. 4
  16. 20
  17. 16
  18. 175
  19. 118
  20. 32
  21. 144
  22. 140
  23. 40
  24. 75
  25. 12
  26. 125
  27. 24
  28. 36
  29. 128
  30. 276
  31. 60
  32. 260
  33. 32
  34. 105
  35. 44
  36. 32
  37. 200
  38. 84
  39. 24
  40. 12

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