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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 278 · 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. 1.9 : 2 = 72 : ?
  2. 2.Divide ₹546 between Dev and Meera in the ratio 8 : 5. How much does Meera get (in ₹)?
  3. 3.Divide ₹472 between Meera and Aarav in the ratio 7 : 1. How much does Meera get (in ₹)?
  4. 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  5. 5.Divide ₹200 between Farhan and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  6. 6.3 : 15 = 27 : ?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  8. 8.4 : 13 = 12 : ?
  9. 9.3 : 4 = 18 : ?
  10. 10.6 : 15 = 42 : ?
  11. 11.Divide ₹300 between Arjun and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  12. 12.Divide ₹104 between Rohan and Karan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  13. 13.7 : 5 = 56 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  16. 16.Divide ₹280 between Isha and Ananya in the ratio 4 : 3. How much does Isha get (in ₹)?
  17. 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  18. 18.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  20. 20.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  21. 21.Divide ₹288 between Ishaan and Rahul in the ratio 1 : 7. How much does Rahul get (in ₹)?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  33. 33.9 : 12 = 63 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  35. 35.Divide ₹510 between Dev and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  36. 36.8 : 2 = 72 : ?
  37. 37.Divide ₹465 between Karan and Aarav in the ratio 7 : 8. How much does Karan get (in ₹)?
  38. 38.4 : 8 = 32 : ?
  39. 39.Divide ₹216 between Farhan and Zoya in the ratio 4 : 5. How much does Zoya get (in ₹)?
  40. 40.Divide ₹91 between Diya and Zoya in the ratio 5 : 8. How much does Diya get (in ₹)?

Answer key

  1. 16
  2. 210
  3. 413
  4. 32
  5. 120
  6. 135
  7. 21
  8. 39
  9. 24
  10. 105
  11. 250
  12. 39
  13. 40
  14. 9
  15. 9
  16. 160
  17. 27
  18. 10
  19. 225
  20. 4
  21. 252
  22. 80
  23. 144
  24. 12
  25. 18
  26. 4
  27. 36
  28. 28
  29. 10
  30. 27
  31. 32
  32. 54
  33. 84
  34. 8
  35. 51
  36. 18
  37. 217
  38. 64
  39. 120
  40. 35

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