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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 239 · 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).

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  1. 1.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  2. 2.Divide ₹130 between Aditya and Meera in the ratio 1 : 9. How much does Aditya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  6. 6.Divide ₹517 between Rahul and Meera in the ratio 7 : 4. How much does Rahul get (in ₹)?
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.6 : 3 = 18 : ?
  11. 11.Divide ₹322 between Dev and Karan in the ratio 4 : 3. How much does Karan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  13. 13.Divide ₹153 between Nisha and Dev in the ratio 7 : 2. How much does Nisha get (in ₹)?
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.10 : 7 = 30 : ?
  16. 16.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  17. 17.Divide ₹315 between Vivaan and Aarav in the ratio 6 : 1. How much does Aarav get (in ₹)?
  18. 18.3 : 5 = 24 : ?
  19. 19.Divide ₹336 between Ishaan and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
  20. 20.4 : 12 = 20 : ?
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  25. 25.Divide ₹175 between Manav and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  26. 26.2 : 12 = 10 : ?
  27. 27.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  28. 28.Divide ₹416 between Diya and Saanvi in the ratio 4 : 9. How much does Diya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  30. 30.Divide ₹301 between Sneha and Aarav in the ratio 1 : 6. How much does Aarav get (in ₹)?
  31. 31.8 : 11 = 24 : ?
  32. 32.10 : 11 = 60 : ?
  33. 33.9 : 7 = 18 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  35. 35.Divide ₹455 between Meera and Isha in the ratio 8 : 5. How much does Isha get (in ₹)?
  36. 36.Divide ₹315 between Arjun and Aditya in the ratio 5 : 2. How much does Arjun get (in ₹)?
  37. 37.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  38. 38.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  39. 39.Divide ₹144 between Ananya and Rohan in the ratio 8 : 1. How much does Rohan get (in ₹)?
  40. 40.Divide ₹510 between Dev and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?

Answer key

  1. 16
  2. 13
  3. 35
  4. 40
  5. 40
  6. 329
  7. 63
  8. 32
  9. 27
  10. 9
  11. 138
  12. 12
  13. 119
  14. 150
  15. 21
  16. 21
  17. 45
  18. 40
  19. 294
  20. 60
  21. 12
  22. 30
  23. 49
  24. 15
  25. 140
  26. 60
  27. 81
  28. 128
  29. 24
  30. 258
  31. 33
  32. 66
  33. 14
  34. 15
  35. 175
  36. 225
  37. 128
  38. 18
  39. 16
  40. 459

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