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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 791 · 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 ₹91 between Kabir and Arjun in the ratio 4 : 9. How much does Arjun get (in ₹)?
  2. 2.Divide ₹198 between Isha and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.Divide ₹594 between Diya and Saanvi in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  5. 5.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  7. 7.Divide ₹231 between Diya and Ananya in the ratio 3 : 8. How much does Ananya get (in ₹)?
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  10. 10.2 : 4 = 4 : ?
  11. 11.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  12. 12.Divide ₹495 between Arjun and Dev in the ratio 9 : 2. How much does Arjun get (in ₹)?
  13. 13.4 : 3 = 28 : ?
  14. 14.9 : 15 = 45 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.3 : 10 = 6 : ?
  18. 18.Divide ₹35 between Kabir and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
  19. 19.9 : 2 = 36 : ?
  20. 20.12 : 15 = 24 : ?
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.8 : 15 = 32 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  24. 24.5 : 4 = 40 : ?
  25. 25.Divide ₹80 between Rahul and Saanvi in the ratio 1 : 7. How much does Rahul get (in ₹)?
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  29. 29.11 : 9 = 66 : ?
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  32. 32.Divide ₹100 between Nisha and Pooja in the ratio 9 : 1. How much does Pooja get (in ₹)?
  33. 33.3 : 6 = 18 : ?
  34. 34.5 : 13 = 20 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  36. 36.9 : 13 = 63 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  39. 39.Divide ₹399 between Ishaan and Nisha in the ratio 1 : 6. How much does Ishaan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?

Answer key

  1. 63
  2. 110
  3. 50
  4. 162
  5. 100
  6. 7
  7. 168
  8. 27
  9. 35
  10. 8
  11. 27
  12. 405
  13. 21
  14. 75
  15. 8
  16. 8
  17. 20
  18. 14
  19. 8
  20. 30
  21. 63
  22. 60
  23. 20
  24. 32
  25. 10
  26. 16
  27. 14
  28. 36
  29. 54
  30. 72
  31. 16
  32. 10
  33. 36
  34. 52
  35. 50
  36. 91
  37. 40
  38. 4
  39. 57
  40. 49

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