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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 449 · 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 1 : 2. There are 8 boys. How many girls are there?
  2. 2.Divide ₹476 between Saanvi and Tara in the ratio 9 : 8. How much does Tara get (in ₹)?
  3. 3.Divide ₹583 between Isha and Diya in the ratio 5 : 6. How much does Isha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  7. 7.2 : 8 = 6 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  9. 9.Divide ₹590 between Nisha and Manav in the ratio 3 : 7. How much does Nisha get (in ₹)?
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.12 : 9 = 96 : ?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.6 : 5 = 48 : ?
  14. 14.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.Divide ₹364 between Tara and Zoya in the ratio 8 : 5. How much does Zoya get (in ₹)?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.8 : 10 = 32 : ?
  19. 19.Divide ₹756 between Priya and Karan in the ratio 5 : 9. How much does Priya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  21. 21.6 : 9 = 54 : ?
  22. 22.6 : 8 = 30 : ?
  23. 23.Divide ₹112 between Isha and Diya in the ratio 3 : 5. How much does Isha get (in ₹)?
  24. 24.Divide ₹407 between Rohan and Tara in the ratio 4 : 7. How much does Tara get (in ₹)?
  25. 25.Divide ₹159 between Kavya and Manav in the ratio 2 : 1. How much does Kavya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  27. 27.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.Divide ₹120 between Diya and Saanvi in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  31. 31.Divide ₹105 between Diya and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.12 : 11 = 108 : ?
  34. 34.Divide ₹216 between Sneha and Rahul in the ratio 5 : 4. How much does Sneha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  36. 36.Divide ₹125 between Arjun and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.2 : 15 = 4 : ?
  39. 39.9 : 12 = 27 : ?
  40. 40.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?

Answer key

  1. 16
  2. 224
  3. 265
  4. 18
  5. 64
  6. 8
  7. 24
  8. 10
  9. 177
  10. 16
  11. 72
  12. 45
  13. 40
  14. 70
  15. 48
  16. 140
  17. 20
  18. 40
  19. 270
  20. 6
  21. 81
  22. 40
  23. 42
  24. 259
  25. 106
  26. 35
  27. 144
  28. 21
  29. 225
  30. 15
  31. 42
  32. 18
  33. 99
  34. 120
  35. 9
  36. 100
  37. 54
  38. 30
  39. 36
  40. 24

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