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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 750 · 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. 1.12 : 3 = 24 : ?
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.Divide ₹65 between Sneha and Vivaan in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  7. 7.Divide ₹108 between Dev and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
  8. 8.Divide ₹780 between Rahul and Diya in the ratio 4 : 9. How much does Rahul get (in ₹)?
  9. 9.Divide ₹935 between Zoya and Dev in the ratio 8 : 9. How much does Zoya get (in ₹)?
  10. 10.Divide ₹649 between Dev and Saanvi in the ratio 9 : 2. How much does Saanvi get (in ₹)?
  11. 11.Divide ₹180 between Diya and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
  12. 12.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  13. 13.8 : 10 = 40 : ?
  14. 14.3 : 12 = 6 : ?
  15. 15.12 : 7 = 24 : ?
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  17. 17.Divide ₹429 between Farhan and Rahul in the ratio 7 : 6. How much does Farhan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  19. 19.Divide ₹506 between Rohan and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  22. 22.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  24. 24.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  25. 25.Divide ₹105 between Nisha and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  26. 26.Divide ₹140 between Arjun and Tara in the ratio 4 : 1. How much does Tara get (in ₹)?
  27. 27.Divide ₹420 between Isha and Pooja in the ratio 7 : 5. How much does Isha get (in ₹)?
  28. 28.8 : 15 = 72 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  31. 31.Divide ₹369 between Kabir and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  32. 32.11 : 9 = 55 : ?
  33. 33.4 : 10 = 8 : ?
  34. 34.Divide ₹638 between Nisha and Dev in the ratio 7 : 4. How much does Dev get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  38. 38.4 : 11 = 28 : ?
  39. 39.Divide ₹442 between Aarav and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  40. 40.8 : 6 = 16 : ?

Answer key

  1. 6
  2. 24
  3. 52
  4. 27
  5. 75
  6. 10
  7. 84
  8. 240
  9. 440
  10. 118
  11. 84
  12. 18
  13. 50
  14. 24
  15. 14
  16. 20
  17. 231
  18. 70
  19. 414
  20. 9
  21. 36
  22. 20
  23. 16
  24. 125
  25. 35
  26. 28
  27. 245
  28. 135
  29. 21
  30. 6
  31. 41
  32. 45
  33. 20
  34. 232
  35. 3
  36. 40
  37. 72
  38. 77
  39. 272
  40. 12

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