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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 105 · 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. 1.11 : 5 = 77 : ?
  2. 2.Divide ₹816 between Saanvi and Farhan in the ratio 9 : 7. How much does Farhan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  4. 4.Divide ₹250 between Pooja and Priya in the ratio 2 : 3. How much does Pooja get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.11 : 3 = 22 : ?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  12. 12.7 : 9 = 14 : ?
  13. 13.Divide ₹360 between Vivaan and Saanvi in the ratio 7 : 5. How much does Saanvi get (in ₹)?
  14. 14.Divide ₹231 between Kavya and Aarav in the ratio 6 : 5. How much does Aarav get (in ₹)?
  15. 15.Divide ₹605 between Meera and Karan in the ratio 4 : 7. How much does Meera get (in ₹)?
  16. 16.9 : 4 = 27 : ?
  17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  20. 20.9 : 2 = 36 : ?
  21. 21.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  22. 22.Divide ₹455 between Isha and Ishaan in the ratio 6 : 7. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹65 between Aarav and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  25. 25.Divide ₹140 between Karan and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  27. 27.3 : 8 = 9 : ?
  28. 28.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  30. 30.Divide ₹161 between Rahul and Diya in the ratio 1 : 6. How much does Diya get (in ₹)?
  31. 31.5 : 9 = 45 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  34. 34.Divide ₹275 between Tara and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.Divide ₹114 between Pooja and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  39. 39.5 : 15 = 20 : ?
  40. 40.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).

Answer key

  1. 35
  2. 357
  3. 60
  4. 100
  5. 9
  6. 28
  7. 6
  8. 18
  9. 32
  10. 35
  11. 15
  12. 18
  13. 150
  14. 105
  15. 220
  16. 12
  17. 50
  18. 96
  19. 36
  20. 8
  21. 200
  22. 245
  23. 13
  24. 12
  25. 14
  26. 50
  27. 24
  28. 64
  29. 8
  30. 138
  31. 81
  32. 2
  33. 72
  34. 175
  35. 8
  36. 27
  37. 32
  38. 95
  39. 60
  40. 112

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