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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 305 · 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. 1.5 : 3 = 20 : ?
  2. 2.Divide ₹320 between Zoya and Manav in the ratio 7 : 3. How much does Zoya get (in ₹)?
  3. 3.Divide ₹615 between Saanvi and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
  4. 4.Divide ₹96 between Nisha and Saanvi in the ratio 3 : 1. How much does Nisha get (in ₹)?
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  7. 7.3 : 6 = 9 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  9. 9.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  10. 10.2 : 13 = 12 : ?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.6 : 11 = 36 : ?
  13. 13.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  14. 14.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  15. 15.Divide ₹264 between Zoya and Tara in the ratio 1 : 7. How much does Zoya get (in ₹)?
  16. 16.Divide ₹132 between Dev and Pooja in the ratio 8 : 3. How much does Pooja get (in ₹)?
  17. 17.Divide ₹220 between Isha and Ishaan in the ratio 1 : 3. How much does Isha get (in ₹)?
  18. 18.Divide ₹185 between Farhan and Nisha in the ratio 1 : 4. How much does Farhan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  29. 29.11 : 8 = 44 : ?
  30. 30.3 : 8 = 18 : ?
  31. 31.4 : 3 = 16 : ?
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹477 between Arjun and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  36. 36.2 : 5 = 4 : ?
  37. 37.Divide ₹110 between Ananya and Priya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  39. 39.Divide ₹986 between Farhan and Dev in the ratio 9 : 8. How much does Dev get (in ₹)?
  40. 40.Divide ₹156 between Manav and Isha in the ratio 1 : 3. How much does Manav get (in ₹)?

Answer key

  1. 12
  2. 224
  3. 287
  4. 72
  5. 48
  6. 50
  7. 18
  8. 20
  9. 150
  10. 78
  11. 16
  12. 66
  13. 63
  14. 24
  15. 33
  16. 36
  17. 55
  18. 37
  19. 4
  20. 24
  21. 64
  22. 49
  23. 25
  24. 90
  25. 48
  26. 27
  27. 16
  28. 28
  29. 32
  30. 48
  31. 12
  32. 128
  33. 53
  34. 75
  35. 12
  36. 10
  37. 33
  38. 18
  39. 464
  40. 39

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