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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 363 · 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 18 (that is, 6 : 18 = 18 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.8 : 13 = 32 : ?
  5. 5.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.9 : 3 = 27 : ?
  8. 8.7 : 6 = 21 : ?
  9. 9.Divide ₹143 between Meera and Isha in the ratio 5 : 6. How much does Meera get (in ₹)?
  10. 10.2 : 5 = 4 : ?
  11. 11.3 : 11 = 21 : ?
  12. 12.Divide ₹105 between Rohan and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  13. 13.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  14. 14.4 : 6 = 12 : ?
  15. 15.Divide ₹220 between Isha and Saanvi in the ratio 9 : 2. How much does Isha get (in ₹)?
  16. 16.2 : 7 = 18 : ?
  17. 17.Divide ₹340 between Vivaan and Ishaan in the ratio 7 : 3. How much does Vivaan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  20. 20.Divide ₹490 between Zoya and Sneha in the ratio 7 : 3. How much does Zoya get (in ₹)?
  21. 21.8 : 4 = 56 : ?
  22. 22.10 : 4 = 90 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  24. 24.Divide ₹688 between Arjun and Farhan in the ratio 7 : 9. How much does Farhan get (in ₹)?
  25. 25.Divide ₹240 between Dev and Aarav in the ratio 1 : 7. How much does Aarav get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  28. 28.Divide ₹24 between Vivaan and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  31. 31.7 : 3 = 56 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  34. 34.Divide ₹105 between Ananya and Manav in the ratio 1 : 4. How much does Ananya get (in ₹)?
  35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  36. 36.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  37. 37.Divide ₹245 between Aditya and Saanvi in the ratio 4 : 1. How much does Aditya get (in ₹)?
  38. 38.4 : 12 = 8 : ?
  39. 39.4 : 14 = 28 : ?
  40. 40.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).

Answer key

  1. 54
  2. 35
  3. 125
  4. 52
  5. 10
  6. 28
  7. 9
  8. 18
  9. 65
  10. 10
  11. 77
  12. 63
  13. 112
  14. 18
  15. 180
  16. 63
  17. 238
  18. 24
  19. 56
  20. 343
  21. 28
  22. 36
  23. 54
  24. 387
  25. 210
  26. 72
  27. 28
  28. 18
  29. 40
  30. 27
  31. 24
  32. 15
  33. 8
  34. 21
  35. 144
  36. 81
  37. 196
  38. 24
  39. 98
  40. 36

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