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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 72 · 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.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  2. 2.2 : 4 = 4 : ?
  3. 3.2 : 14 = 10 : ?
  4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  5. 5.Divide ₹120 between Karan and Tara in the ratio 4 : 1. How much does Tara get (in ₹)?
  6. 6.5 : 10 = 45 : ?
  7. 7.Divide ₹160 between Manav and Pooja in the ratio 7 : 1. How much does Pooja get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  9. 9.7 : 4 = 49 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  11. 11.Divide ₹264 between Isha and Kabir in the ratio 5 : 6. How much does Kabir get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  13. 13.Divide ₹204 between Aarav and Kabir in the ratio 5 : 1. How much does Aarav get (in ₹)?
  14. 14.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  15. 15.8 : 5 = 24 : ?
  16. 16.7 : 14 = 21 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  18. 18.Divide ₹396 between Vivaan and Sneha in the ratio 1 : 8. How much does Sneha get (in ₹)?
  19. 19.Divide ₹341 between Manav and Aditya in the ratio 9 : 2. How much does Manav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  23. 23.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  25. 25.Divide ₹216 between Dev and Diya in the ratio 1 : 7. How much does Dev get (in ₹)?
  26. 26.Divide ₹30 between Kavya and Dev in the ratio 5 : 1. How much does Kavya get (in ₹)?
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.Divide ₹221 between Kabir and Meera in the ratio 8 : 5. How much does Kabir get (in ₹)?
  30. 30.5 : 12 = 20 : ?
  31. 31.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  32. 32.7 : 8 = 49 : ?
  33. 33.Divide ₹364 between Priya and Diya in the ratio 2 : 5. How much does Priya get (in ₹)?
  34. 34.Divide ₹506 between Rahul and Ananya in the ratio 9 : 2. How much does Ananya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  36. 36.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  37. 37.Divide ₹35 between Kabir and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  38. 38.6 : 3 = 36 : ?
  39. 39.2 : 13 = 14 : ?
  40. 40.Divide ₹140 between Dev and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?

Answer key

  1. 24
  2. 8
  3. 70
  4. 12
  5. 24
  6. 90
  7. 20
  8. 70
  9. 28
  10. 18
  11. 144
  12. 10
  13. 170
  14. 175
  15. 15
  16. 42
  17. 14
  18. 352
  19. 279
  20. 12
  21. 100
  22. 20
  23. 90
  24. 14
  25. 27
  26. 25
  27. 81
  28. 112
  29. 136
  30. 48
  31. 144
  32. 56
  33. 104
  34. 92
  35. 54
  36. 72
  37. 28
  38. 18
  39. 91
  40. 120

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