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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 157 · 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 ₹240 between Kavya and Ananya in the ratio 3 : 5. How much does Kavya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  5. 5.Divide ₹364 between Nisha and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  8. 8.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  9. 9.Divide ₹187 between Zoya and Aarav in the ratio 3 : 8. How much does Zoya get (in ₹)?
  10. 10.Divide ₹352 between Karan and Ishaan in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  12. 12.2 : 3 = 6 : ?
  13. 13.Divide ₹459 between Nisha and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
  14. 14.Divide ₹117 between Aarav and Sneha in the ratio 1 : 8. How much does Aarav get (in ₹)?
  15. 15.11 : 5 = 33 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  17. 17.Divide ₹231 between Meera and Aditya in the ratio 4 : 3. How much does Aditya get (in ₹)?
  18. 18.Divide ₹224 between Tara and Farhan in the ratio 3 : 5. How much does Tara get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  20. 20.4 : 7 = 36 : ?
  21. 21.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  22. 22.10 : 13 = 70 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  25. 25.10 : 4 = 90 : ?
  26. 26.2 : 12 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  28. 28.Divide ₹91 between Kabir and Sneha in the ratio 9 : 4. How much does Kabir get (in ₹)?
  29. 29.5 : 11 = 35 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  31. 31.2 : 9 = 8 : ?
  32. 32.6 : 8 = 54 : ?
  33. 33.Divide ₹168 between Nisha and Isha in the ratio 3 : 5. How much does Isha get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  35. 35.Divide ₹266 between Meera and Sneha in the ratio 5 : 9. How much does Sneha get (in ₹)?
  36. 36.Divide ₹280 between Manav and Ishaan in the ratio 9 : 5. How much does Manav get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  40. 40.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).

Answer key

  1. 90
  2. 6
  3. 64
  4. 36
  5. 312
  6. 8
  7. 75
  8. 112
  9. 51
  10. 44
  11. 81
  12. 9
  13. 243
  14. 13
  15. 15
  16. 16
  17. 99
  18. 84
  19. 72
  20. 63
  21. 45
  22. 91
  23. 36
  24. 12
  25. 36
  26. 72
  27. 30
  28. 63
  29. 77
  30. 70
  31. 36
  32. 72
  33. 105
  34. 54
  35. 171
  36. 180
  37. 4
  38. 20
  39. 12
  40. 48

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