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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 329 · 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.Divide ₹198 between Aditya and Tara in the ratio 8 : 3. How much does Aditya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  3. 3.Divide ₹195 between Manav and Rahul in the ratio 2 : 3. How much does Manav get (in ₹)?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.Divide ₹272 between Vivaan and Karan in the ratio 5 : 3. How much does Karan get (in ₹)?
  6. 6.Divide ₹187 between Kabir and Dev in the ratio 4 : 7. How much does Dev get (in ₹)?
  7. 7.Divide ₹663 between Priya and Ishaan in the ratio 4 : 9. How much does Priya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  9. 9.Divide ₹462 between Zoya and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  12. 12.Divide ₹544 between Sneha and Arjun in the ratio 7 : 9. How much does Sneha get (in ₹)?
  13. 13.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  14. 14.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  15. 15.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  17. 17.Divide ₹286 between Rohan and Nisha in the ratio 9 : 2. How much does Rohan get (in ₹)?
  18. 18.Divide ₹493 between Rohan and Rahul in the ratio 9 : 8. How much does Rohan get (in ₹)?
  19. 19.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  20. 20.Divide ₹232 between Rohan and Aarav in the ratio 1 : 7. How much does Aarav get (in ₹)?
  21. 21.Divide ₹315 between Priya and Kabir in the ratio 2 : 5. How much does Priya get (in ₹)?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.5 : 10 = 15 : ?
  24. 24.10 : 15 = 60 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  27. 27.2 : 6 = 16 : ?
  28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  30. 30.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  31. 31.7 : 4 = 42 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  33. 33.10 : 12 = 50 : ?
  34. 34.11 : 3 = 55 : ?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.2 : 6 = 6 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  38. 38.7 : 14 = 28 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  40. 40.4 : 14 = 28 : ?

Answer key

  1. 144
  2. 6
  3. 78
  4. 18
  5. 102
  6. 119
  7. 204
  8. 16
  9. 168
  10. 10
  11. 42
  12. 238
  13. 100
  14. 80
  15. 6
  16. 9
  17. 234
  18. 261
  19. 150
  20. 203
  21. 90
  22. 50
  23. 30
  24. 90
  25. 48
  26. 30
  27. 48
  28. 12
  29. 45
  30. 2
  31. 24
  32. 36
  33. 60
  34. 15
  35. 8
  36. 18
  37. 4
  38. 56
  39. 21
  40. 98

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