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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 457 · 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.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  2. 2.11 : 2 = 77 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  4. 4.Divide ₹289 between Priya and Zoya in the ratio 9 : 8. How much does Zoya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  7. 7.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  8. 8.9 : 6 = 54 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  10. 10.Divide ₹54 between Diya and Saanvi in the ratio 5 : 4. How much does Saanvi get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  14. 14.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  15. 15.Divide ₹255 between Nisha and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  16. 16.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.Divide ₹115 between Ishaan and Diya in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  20. 20.6 : 7 = 18 : ?
  21. 21.6 : 3 = 42 : ?
  22. 22.Divide ₹220 between Arjun and Tara in the ratio 9 : 2. How much does Tara get (in ₹)?
  23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  24. 24.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  25. 25.Divide ₹78 between Kavya and Isha in the ratio 4 : 9. How much does Isha get (in ₹)?
  26. 26.Divide ₹240 between Saanvi and Zoya in the ratio 3 : 5. How much does Zoya get (in ₹)?
  27. 27.5 : 7 = 15 : ?
  28. 28.10 : 7 = 40 : ?
  29. 29.Divide ₹416 between Ananya and Aditya in the ratio 6 : 7. How much does Aditya get (in ₹)?
  30. 30.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  31. 31.Divide ₹260 between Saanvi and Diya in the ratio 2 : 3. How much does Saanvi get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  33. 33.5 : 3 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Divide ₹396 between Priya and Nisha in the ratio 5 : 6. How much does Priya get (in ₹)?
  39. 39.5 : 6 = 10 : ?
  40. 40.Divide ₹260 between Arjun and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?

Answer key

  1. 12
  2. 14
  3. 9
  4. 136
  5. 80
  6. 96
  7. 6
  8. 36
  9. 36
  10. 24
  11. 6
  12. 20
  13. 16
  14. 144
  15. 153
  16. 225
  17. 12
  18. 92
  19. 8
  20. 21
  21. 21
  22. 40
  23. 72
  24. 32
  25. 54
  26. 150
  27. 21
  28. 28
  29. 224
  30. 125
  31. 104
  32. 45
  33. 12
  34. 36
  35. 6
  36. 28
  37. 18
  38. 180
  39. 12
  40. 104

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