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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 155 · 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 ₹148 between Dev and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  2. 2.Divide ₹108 between Diya and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  4. 4.12 : 2 = 48 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.Divide ₹423 between Rahul and Karan in the ratio 5 : 4. How much does Rahul get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  9. 9.7 : 14 = 35 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.12 : 10 = 48 : ?
  12. 12.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  14. 14.8 : 5 = 56 : ?
  15. 15.Divide ₹30 between Karan and Zoya in the ratio 1 : 2. How much does Karan get (in ₹)?
  16. 16.Divide ₹30 between Manav and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
  17. 17.Divide ₹784 between Priya and Meera in the ratio 9 : 5. How much does Meera get (in ₹)?
  18. 18.7 : 6 = 42 : ?
  19. 19.11 : 7 = 66 : ?
  20. 20.10 : 14 = 80 : ?
  21. 21.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  23. 23.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  24. 24.3 : 15 = 18 : ?
  25. 25.Divide ₹325 between Dev and Nisha in the ratio 4 : 9. How much does Dev get (in ₹)?
  26. 26.Divide ₹780 between Arjun and Rohan in the ratio 9 : 4. How much does Arjun get (in ₹)?
  27. 27.Divide ₹39 between Ishaan and Ananya in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  28. 28.4 : 12 = 24 : ?
  29. 29.Divide ₹52 between Aditya and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.10 : 5 = 50 : ?
  33. 33.11 : 2 = 44 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  35. 35.Divide ₹100 between Ananya and Karan in the ratio 1 : 9. How much does Ananya get (in ₹)?
  36. 36.Divide ₹88 between Farhan and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  37. 37.Divide ₹343 between Saanvi and Farhan in the ratio 3 : 4. How much does Farhan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  39. 39.10 : 15 = 90 : ?
  40. 40.12 : 10 = 60 : ?

Answer key

  1. 111
  2. 18
  3. 25
  4. 8
  5. 3
  6. 32
  7. 235
  8. 10
  9. 70
  10. 75
  11. 40
  12. 30
  13. 4
  14. 35
  15. 10
  16. 18
  17. 280
  18. 36
  19. 42
  20. 112
  21. 5
  22. 6
  23. 96
  24. 90
  25. 100
  26. 540
  27. 26
  28. 72
  29. 39
  30. 56
  31. 8
  32. 25
  33. 8
  34. 49
  35. 10
  36. 24
  37. 196
  38. 25
  39. 135
  40. 50

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