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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 946 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  2. 2.11 : 13 = 66 : ?
  3. 3.Divide ₹605 between Farhan and Kabir in the ratio 7 : 4. How much does Farhan get (in ₹)?
  4. 4.2 : 15 = 10 : ?
  5. 5.Divide ₹175 between Rohan and Kabir in the ratio 5 : 2. How much does Rohan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  7. 7.Divide ₹495 between Rohan and Karan in the ratio 1 : 8. How much does Karan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  9. 9.2 : 8 = 18 : ?
  10. 10.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  11. 11.8 : 12 = 32 : ?
  12. 12.Divide ₹220 between Zoya and Farhan in the ratio 6 : 5. How much does Farhan get (in ₹)?
  13. 13.Divide ₹301 between Zoya and Karan in the ratio 6 : 1. How much does Karan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  15. 15.2 : 4 = 8 : ?
  16. 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  17. 17.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  18. 18.10 : 2 = 70 : ?
  19. 19.4 : 11 = 24 : ?
  20. 20.3 : 15 = 6 : ?
  21. 21.Divide ₹24 between Rohan and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  22. 22.10 : 4 = 30 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  26. 26.Divide ₹68 between Priya and Tara in the ratio 3 : 1. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  28. 28.Divide ₹84 between Dev and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  29. 29.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  30. 30.2 : 9 = 10 : ?
  31. 31.6 : 3 = 18 : ?
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹140 between Kavya and Saanvi in the ratio 7 : 3. How much does Kavya get (in ₹)?
  34. 34.10 : 14 = 50 : ?
  35. 35.Divide ₹260 between Pooja and Rahul in the ratio 8 : 5. How much does Rahul get (in ₹)?
  36. 36.11 : 5 = 55 : ?
  37. 37.Divide ₹96 between Meera and Ishaan in the ratio 5 : 7. How much does Meera get (in ₹)?
  38. 38.Divide ₹20 between Karan and Dev in the ratio 1 : 3. How much does Dev get (in ₹)?
  39. 39.2 : 4 = 10 : ?
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 2
  2. 78
  3. 385
  4. 75
  5. 125
  6. 24
  7. 440
  8. 6
  9. 72
  10. 27
  11. 48
  12. 100
  13. 43
  14. 3
  15. 16
  16. 63
  17. 5
  18. 14
  19. 66
  20. 30
  21. 6
  22. 12
  23. 14
  24. 70
  25. 40
  26. 17
  27. 4
  28. 12
  29. 80
  30. 45
  31. 9
  32. 128
  33. 98
  34. 70
  35. 100
  36. 25
  37. 40
  38. 15
  39. 20
  40. 36

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