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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 316 · 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.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  3. 3.Divide ₹468 between Kabir and Dev in the ratio 5 : 4. How much does Kabir get (in ₹)?
  4. 4.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  5. 5.Divide ₹300 between Manav and Dev in the ratio 1 : 9. How much does Manav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  8. 8.Divide ₹286 between Rahul and Aarav in the ratio 5 : 6. How much does Rahul get (in ₹)?
  9. 9.Divide ₹265 between Priya and Aarav in the ratio 1 : 4. How much does Aarav get (in ₹)?
  10. 10.7 : 11 = 21 : ?
  11. 11.Divide ₹133 between Ananya and Aarav in the ratio 3 : 4. How much does Ananya get (in ₹)?
  12. 12.2 : 4 = 12 : ?
  13. 13.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  14. 14.Divide ₹728 between Pooja and Manav in the ratio 4 : 9. How much does Pooja get (in ₹)?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Divide ₹728 between Nisha and Diya in the ratio 9 : 5. How much does Nisha get (in ₹)?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.7 : 15 = 14 : ?
  19. 19.Divide ₹190 between Kavya and Ananya in the ratio 1 : 9. How much does Kavya get (in ₹)?
  20. 20.12 : 7 = 60 : ?
  21. 21.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  23. 23.Divide ₹105 between Meera and Manav in the ratio 4 : 1. How much does Manav get (in ₹)?
  24. 24.9 : 7 = 54 : ?
  25. 25.8 : 6 = 32 : ?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.Divide ₹429 between Saanvi and Aarav in the ratio 3 : 8. How much does Aarav get (in ₹)?
  28. 28.3 : 10 = 6 : ?
  29. 29.Divide ₹912 between Zoya and Ananya in the ratio 7 : 9. How much does Ananya get (in ₹)?
  30. 30.Divide ₹247 between Farhan and Diya in the ratio 4 : 9. How much does Farhan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  32. 32.Divide ₹275 between Ananya and Aditya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  33. 33.4 : 2 = 36 : ?
  34. 34.2 : 12 = 16 : ?
  35. 35.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  37. 37.Divide ₹410 between Dev and Sneha in the ratio 7 : 3. How much does Dev get (in ₹)?
  38. 38.Divide ₹385 between Kabir and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
  39. 39.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 6
  2. 30
  3. 260
  4. 128
  5. 30
  6. 72
  7. 12
  8. 130
  9. 212
  10. 33
  11. 57
  12. 24
  13. 72
  14. 224
  15. 64
  16. 468
  17. 200
  18. 30
  19. 19
  20. 35
  21. 2
  22. 27
  23. 21
  24. 42
  25. 24
  26. 175
  27. 312
  28. 20
  29. 513
  30. 76
  31. 48
  32. 50
  33. 18
  34. 96
  35. 28
  36. 18
  37. 287
  38. 105
  39. 80
  40. 36

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