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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 366 · 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 ₹180 between Meera and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  2. 2.Divide ₹410 between Priya and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  3. 3.Divide ₹119 between Pooja and Sneha in the ratio 4 : 3. How much does Sneha get (in ₹)?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.Divide ₹187 between Karan and Meera in the ratio 6 : 5. How much does Meera get (in ₹)?
  6. 6.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  7. 7.Divide ₹154 between Arjun and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  8. 8.Divide ₹280 between Pooja and Tara in the ratio 1 : 7. How much does Tara get (in ₹)?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.6 : 9 = 42 : ?
  18. 18.Divide ₹224 between Kabir and Zoya in the ratio 4 : 3. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  20. 20.Divide ₹217 between Aarav and Vivaan in the ratio 4 : 3. How much does Aarav get (in ₹)?
  21. 21.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  27. 27.5 : 9 = 30 : ?
  28. 28.Divide ₹656 between Farhan and Dev in the ratio 7 : 9. How much does Dev get (in ₹)?
  29. 29.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  30. 30.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  32. 32.Divide ₹378 between Dev and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  33. 33.4 : 8 = 16 : ?
  34. 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  35. 35.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  36. 36.11 : 8 = 55 : ?
  37. 37.2 : 7 = 6 : ?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.5 : 13 = 25 : ?
  40. 40.Divide ₹200 between Farhan and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?

Answer key

  1. 18
  2. 369
  3. 51
  4. 48
  5. 85
  6. 27
  7. 110
  8. 245
  9. 12
  10. 18
  11. 12
  12. 21
  13. 30
  14. 18
  15. 40
  16. 16
  17. 63
  18. 128
  19. 14
  20. 124
  21. 150
  22. 54
  23. 20
  24. 30
  25. 27
  26. 80
  27. 54
  28. 369
  29. 72
  30. 9
  31. 144
  32. 54
  33. 32
  34. 200
  35. 48
  36. 40
  37. 21
  38. 112
  39. 65
  40. 20

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