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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 101 · 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. 1.4 : 12 = 20 : ?
  2. 2.Divide ₹364 between Saanvi and Kabir in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  3. 3.Divide ₹616 between Dev and Rahul in the ratio 9 : 2. How much does Rahul get (in ₹)?
  4. 4.4 : 14 = 8 : ?
  5. 5.Divide ₹162 between Farhan and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  7. 7.2 : 3 = 18 : ?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.Divide ₹372 between Kabir and Isha in the ratio 7 : 5. How much does Isha get (in ₹)?
  10. 10.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  12. 12.Divide ₹198 between Dev and Diya in the ratio 1 : 5. How much does Dev get (in ₹)?
  13. 13.Divide ₹140 between Arjun and Farhan in the ratio 9 : 1. How much does Arjun get (in ₹)?
  14. 14.4 : 9 = 16 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  16. 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  17. 17.3 : 11 = 27 : ?
  18. 18.Divide ₹99 between Vivaan and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
  19. 19.8 : 9 = 24 : ?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.Divide ₹256 between Rohan and Kabir in the ratio 9 : 7. How much does Kabir get (in ₹)?
  22. 22.8 : 7 = 56 : ?
  23. 23.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  24. 24.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  26. 26.3 : 15 = 6 : ?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  34. 34.12 : 5 = 36 : ?
  35. 35.9 : 8 = 54 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  37. 37.Divide ₹195 between Tara and Arjun in the ratio 8 : 7. How much does Tara get (in ₹)?
  38. 38.Divide ₹275 between Isha and Nisha in the ratio 9 : 2. How much does Isha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  40. 40.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).

Answer key

  1. 60
  2. 140
  3. 112
  4. 28
  5. 90
  6. 18
  7. 27
  8. 12
  9. 155
  10. 150
  11. 6
  12. 33
  13. 126
  14. 36
  15. 20
  16. 54
  17. 99
  18. 11
  19. 27
  20. 36
  21. 112
  22. 49
  23. 80
  24. 20
  25. 80
  26. 30
  27. 32
  28. 100
  29. 54
  30. 9
  31. 10
  32. 63
  33. 45
  34. 15
  35. 48
  36. 14
  37. 104
  38. 225
  39. 4
  40. 48

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