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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 505 · 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 ₹208 between Isha and Saanvi in the ratio 5 : 8. How much does Isha get (in ₹)?
  2. 2.2 : 13 = 12 : ?
  3. 3.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  6. 6.12 : 11 = 72 : ?
  7. 7.Divide ₹377 between Isha and Zoya in the ratio 5 : 8. How much does Isha get (in ₹)?
  8. 8.Divide ₹295 between Rahul and Nisha in the ratio 3 : 2. How much does Nisha get (in ₹)?
  9. 9.9 : 15 = 54 : ?
  10. 10.Divide ₹220 between Diya and Rahul in the ratio 9 : 2. How much does Rahul get (in ₹)?
  11. 11.12 : 4 = 96 : ?
  12. 12.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  13. 13.3 : 6 = 15 : ?
  14. 14.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  15. 15.11 : 10 = 77 : ?
  16. 16.Divide ₹240 between Karan and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  20. 20.Divide ₹189 between Aditya and Kabir in the ratio 8 : 1. How much does Aditya get (in ₹)?
  21. 21.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  22. 22.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  23. 23.Divide ₹434 between Aditya and Kavya in the ratio 9 : 5. How much does Kavya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  25. 25.Divide ₹585 between Arjun and Dev in the ratio 7 : 6. How much does Arjun get (in ₹)?
  26. 26.5 : 14 = 20 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  30. 30.Divide ₹705 between Tara and Ishaan in the ratio 7 : 8. How much does Tara get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.10 : 6 = 30 : ?
  34. 34.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  36. 36.Divide ₹245 between Diya and Aditya in the ratio 5 : 2. How much does Diya get (in ₹)?
  37. 37.Divide ₹39 between Isha and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  38. 38.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  39. 39.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  40. 40.Divide ₹432 between Ananya and Aarav in the ratio 7 : 5. How much does Ananya get (in ₹)?

Answer key

  1. 80
  2. 78
  3. 175
  4. 54
  5. 96
  6. 66
  7. 145
  8. 118
  9. 90
  10. 40
  11. 32
  12. 32
  13. 30
  14. 30
  15. 70
  16. 144
  17. 45
  18. 5
  19. 8
  20. 168
  21. 72
  22. 144
  23. 155
  24. 4
  25. 315
  26. 56
  27. 36
  28. 16
  29. 4
  30. 329
  31. 12
  32. 112
  33. 18
  34. 63
  35. 36
  36. 175
  37. 26
  38. 18
  39. 8
  40. 252

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