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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 447 · 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.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  2. 2.4 : 15 = 32 : ?
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  6. 6.Divide ₹368 between Karan and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  8. 8.Divide ₹70 between Aditya and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  11. 11.11 : 12 = 22 : ?
  12. 12.8 : 10 = 32 : ?
  13. 13.Divide ₹205 between Farhan and Aarav in the ratio 2 : 3. How much does Farhan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  15. 15.4 : 13 = 12 : ?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.Divide ₹90 between Rahul and Zoya in the ratio 3 : 7. How much does Zoya get (in ₹)?
  18. 18.Divide ₹396 between Priya and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
  19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  20. 20.2 : 9 = 8 : ?
  21. 21.Divide ₹260 between Rohan and Aarav in the ratio 9 : 1. How much does Rohan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  24. 24.Divide ₹330 between Rahul and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
  25. 25.Divide ₹25 between Ananya and Arjun in the ratio 4 : 1. How much does Arjun get (in ₹)?
  26. 26.6 : 3 = 48 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  28. 28.Divide ₹462 between Saanvi and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  29. 29.3 : 12 = 24 : ?
  30. 30.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  31. 31.11 : 5 = 44 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  33. 33.Divide ₹539 between Pooja and Manav in the ratio 7 : 4. How much does Manav get (in ₹)?
  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 3 : 7. There are 18 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  38. 38.Divide ₹833 between Saanvi and Nisha in the ratio 8 : 9. How much does Saanvi get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  40. 40.Divide ₹184 between Ishaan and Aditya in the ratio 1 : 7. How much does Aditya get (in ₹)?

Answer key

  1. 10
  2. 120
  3. 36
  4. 150
  5. 60
  6. 138
  7. 12
  8. 28
  9. 12
  10. 54
  11. 24
  12. 40
  13. 82
  14. 6
  15. 39
  16. 18
  17. 63
  18. 180
  19. 225
  20. 36
  21. 234
  22. 30
  23. 7
  24. 33
  25. 5
  26. 24
  27. 45
  28. 294
  29. 96
  30. 112
  31. 20
  32. 24
  33. 196
  34. 63
  35. 42
  36. 48
  37. 32
  38. 392
  39. 28
  40. 161

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