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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 539 · 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 ₹182 between Rohan and Zoya in the ratio 5 : 8. How much does Rohan get (in ₹)?
  2. 2.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  4. 4.Divide ₹676 between Ishaan and Aarav in the ratio 6 : 7. How much does Ishaan get (in ₹)?
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  7. 7.7 : 8 = 49 : ?
  8. 8.7 : 4 = 14 : ?
  9. 9.4 : 14 = 32 : ?
  10. 10.11 : 12 = 77 : ?
  11. 11.3 : 4 = 21 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  13. 13.4 : 12 = 20 : ?
  14. 14.8 : 3 = 40 : ?
  15. 15.Divide ₹384 between Farhan and Dev in the ratio 7 : 5. How much does Dev get (in ₹)?
  16. 16.10 : 9 = 90 : ?
  17. 17.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  18. 18.Divide ₹266 between Isha and Ananya in the ratio 1 : 6. How much does Isha get (in ₹)?
  19. 19.5 : 6 = 25 : ?
  20. 20.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  21. 21.Divide ₹209 between Aarav and Aditya in the ratio 9 : 2. How much does Aditya get (in ₹)?
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  24. 24.Divide ₹486 between Priya and Vivaan in the ratio 8 : 1. How much does Priya get (in ₹)?
  25. 25.6 : 8 = 36 : ?
  26. 26.2 : 9 = 12 : ?
  27. 27.Divide ₹56 between Kavya and Diya in the ratio 3 : 5. How much does Kavya get (in ₹)?
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  32. 32.Divide ₹585 between Isha and Arjun in the ratio 7 : 8. How much does Isha get (in ₹)?
  33. 33.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  34. 34.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  35. 35.Divide ₹160 between Tara and Aarav in the ratio 1 : 7. How much does Tara get (in ₹)?
  36. 36.Divide ₹256 between Rohan and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  37. 37.2 : 11 = 10 : ?
  38. 38.5 : 13 = 35 : ?
  39. 39.12 : 15 = 96 : ?
  40. 40.2 : 14 = 12 : ?

Answer key

  1. 70
  2. 36
  3. 20
  4. 312
  5. 81
  6. 32
  7. 56
  8. 8
  9. 112
  10. 84
  11. 28
  12. 8
  13. 60
  14. 15
  15. 160
  16. 81
  17. 2
  18. 38
  19. 30
  20. 18
  21. 38
  22. 16
  23. 32
  24. 432
  25. 48
  26. 54
  27. 21
  28. 32
  29. 36
  30. 2
  31. 12
  32. 273
  33. 112
  34. 7
  35. 20
  36. 144
  37. 55
  38. 91
  39. 120
  40. 84

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