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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 532 · 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 ₹108 between Nisha and Aditya in the ratio 1 : 5. How much does Nisha get (in ₹)?
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.Divide ₹198 between Dev and Farhan in the ratio 5 : 1. How much does Farhan get (in ₹)?
  4. 4.Divide ₹518 between Diya and Karan in the ratio 9 : 5. How much does Karan get (in ₹)?
  5. 5.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  6. 6.9 : 11 = 81 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  9. 9.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  10. 10.Divide ₹156 between Saanvi and Manav in the ratio 1 : 5. How much does Manav get (in ₹)?
  11. 11.7 : 6 = 35 : ?
  12. 12.11 : 5 = 44 : ?
  13. 13.Divide ₹550 between Priya and Kabir in the ratio 6 : 5. How much does Kabir get (in ₹)?
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.Divide ₹60 between Zoya and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  18. 18.Divide ₹212 between Isha and Aarav in the ratio 3 : 1. How much does Isha get (in ₹)?
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  22. 22.7 : 10 = 21 : ?
  23. 23.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  24. 24.3 : 7 = 6 : ?
  25. 25.Divide ₹88 between Nisha and Meera in the ratio 9 : 2. How much does Nisha get (in ₹)?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  28. 28.8 : 7 = 48 : ?
  29. 29.Divide ₹248 between Saanvi and Aditya in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  30. 30.9 : 5 = 36 : ?
  31. 31.Divide ₹649 between Dev and Kavya in the ratio 6 : 5. How much does Kavya get (in ₹)?
  32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.9 : 7 = 45 : ?
  35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  36. 36.3 : 9 = 9 : ?
  37. 37.8 : 12 = 40 : ?
  38. 38.Divide ₹250 between Priya and Rahul in the ratio 9 : 1. How much does Rahul get (in ₹)?
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.Divide ₹187 between Manav and Dev in the ratio 9 : 2. How much does Manav get (in ₹)?

Answer key

  1. 18
  2. 112
  3. 33
  4. 185
  5. 125
  6. 99
  7. 8
  8. 40
  9. 81
  10. 130
  11. 30
  12. 20
  13. 250
  14. 48
  15. 54
  16. 8
  17. 6
  18. 159
  19. 32
  20. 32
  21. 18
  22. 30
  23. 96
  24. 14
  25. 72
  26. 80
  27. 20
  28. 42
  29. 217
  30. 20
  31. 295
  32. 16
  33. 75
  34. 35
  35. 32
  36. 27
  37. 60
  38. 25
  39. 50
  40. 153

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