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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 191 · 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.Divide ₹255 between Meera and Diya in the ratio 2 : 3. How much does Diya get (in ₹)?
  2. 2.6 : 11 = 42 : ?
  3. 3.3 : 5 = 27 : ?
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  5. 5.Divide ₹374 between Aarav and Pooja in the ratio 9 : 2. How much does Pooja get (in ₹)?
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.Divide ₹264 between Vivaan and Karan in the ratio 3 : 5. How much does Karan get (in ₹)?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.Divide ₹418 between Diya and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  10. 10.Divide ₹114 between Dev and Nisha in the ratio 1 : 5. How much does Dev get (in ₹)?
  11. 11.Divide ₹387 between Kabir and Aditya in the ratio 8 : 1. How much does Kabir get (in ₹)?
  12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  13. 13.Divide ₹363 between Aarav and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.Divide ₹153 between Zoya and Diya in the ratio 7 : 2. How much does Zoya get (in ₹)?
  16. 16.Divide ₹248 between Sneha and Kabir in the ratio 5 : 3. How much does Kabir get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  21. 21.Divide ₹387 between Dev and Karan in the ratio 2 : 7. How much does Dev get (in ₹)?
  22. 22.12 : 11 = 108 : ?
  23. 23.10 : 13 = 70 : ?
  24. 24.2 : 5 = 6 : ?
  25. 25.Divide ₹140 between Rahul and Meera in the ratio 3 : 2. How much does Rahul get (in ₹)?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.Divide ₹81 between Farhan and Rohan in the ratio 7 : 2. How much does Farhan get (in ₹)?
  29. 29.Divide ₹576 between Pooja and Dev in the ratio 5 : 7. How much does Dev get (in ₹)?
  30. 30.6 : 13 = 54 : ?
  31. 31.2 : 10 = 16 : ?
  32. 32.4 : 9 = 32 : ?
  33. 33.Divide ₹468 between Meera and Aditya in the ratio 4 : 9. How much does Aditya get (in ₹)?
  34. 34.9 : 6 = 45 : ?
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  36. 36.3 : 8 = 21 : ?
  37. 37.6 : 14 = 54 : ?
  38. 38.7 : 2 = 21 : ?
  39. 39.Divide ₹252 between Ishaan and Nisha in the ratio 7 : 5. How much does Nisha get (in ₹)?
  40. 40.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).

Answer key

  1. 153
  2. 77
  3. 45
  4. 50
  5. 68
  6. 175
  7. 165
  8. 32
  9. 304
  10. 19
  11. 344
  12. 28
  13. 132
  14. 100
  15. 119
  16. 93
  17. 40
  18. 32
  19. 144
  20. 4
  21. 86
  22. 99
  23. 91
  24. 15
  25. 84
  26. 12
  27. 72
  28. 63
  29. 336
  30. 117
  31. 80
  32. 72
  33. 324
  34. 30
  35. 10
  36. 56
  37. 126
  38. 6
  39. 105
  40. 27

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