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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 886 · 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. 1.5 : 13 = 15 : ?
  2. 2.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.3 : 10 = 15 : ?
  7. 7.Divide ₹184 between Dev and Isha in the ratio 1 : 3. How much does Isha get (in ₹)?
  8. 8.Divide ₹378 between Ishaan and Vivaan in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.12 : 7 = 84 : ?
  11. 11.11 : 15 = 22 : ?
  12. 12.8 : 3 = 48 : ?
  13. 13.5 : 7 = 40 : ?
  14. 14.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  15. 15.4 : 8 = 28 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  17. 17.Divide ₹253 between Diya and Vivaan in the ratio 7 : 4. How much does Vivaan get (in ₹)?
  18. 18.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  19. 19.Divide ₹363 between Rahul and Rohan in the ratio 2 : 9. How much does Rohan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 8. There are 45 boys. How many girls are there?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.Divide ₹500 between Rohan and Vivaan in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.Divide ₹136 between Dev and Priya in the ratio 3 : 1. How much does Dev get (in ₹)?
  27. 27.2 : 13 = 18 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.Divide ₹265 between Meera and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.Divide ₹104 between Arjun and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  33. 33.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  34. 34.10 : 7 = 90 : ?
  35. 35.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  36. 36.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  37. 37.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  38. 38.Divide ₹100 between Diya and Arjun in the ratio 1 : 4. How much does Diya get (in ₹)?
  39. 39.Divide ₹507 between Rohan and Aarav in the ratio 6 : 7. How much does Aarav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?

Answer key

  1. 39
  2. 27
  3. 18
  4. 72
  5. 50
  6. 50
  7. 138
  8. 243
  9. 100
  10. 49
  11. 30
  12. 18
  13. 56
  14. 144
  15. 56
  16. 18
  17. 92
  18. 64
  19. 297
  20. 15
  21. 40
  22. 24
  23. 450
  24. 16
  25. 32
  26. 102
  27. 117
  28. 24
  29. 63
  30. 159
  31. 28
  32. 65
  33. 36
  34. 63
  35. 80
  36. 36
  37. 9
  38. 20
  39. 273
  40. 36

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