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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 303 · 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. 1.11 : 8 = 99 : ?
  2. 2.5 : 11 = 30 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  5. 5.2 : 13 = 8 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  8. 8.Divide ₹25 between Karan and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  11. 11.10 : 2 = 50 : ?
  12. 12.Divide ₹280 between Tara and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  13. 13.Divide ₹220 between Arjun and Manav in the ratio 3 : 2. How much does Manav get (in ₹)?
  14. 14.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  16. 16.2 : 9 = 18 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.12 : 8 = 108 : ?
  20. 20.11 : 13 = 66 : ?
  21. 21.Divide ₹490 between Farhan and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  22. 22.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  23. 23.Divide ₹231 between Vivaan and Priya in the ratio 7 : 4. How much does Vivaan get (in ₹)?
  24. 24.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  25. 25.Divide ₹110 between Diya and Farhan in the ratio 9 : 2. How much does Diya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  27. 27.Divide ₹231 between Aarav and Manav in the ratio 8 : 3. How much does Manav get (in ₹)?
  28. 28.Divide ₹546 between Ananya and Kavya in the ratio 6 : 7. How much does Kavya get (in ₹)?
  29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  30. 30.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  31. 31.Divide ₹69 between Karan and Arjun in the ratio 1 : 2. How much does Arjun get (in ₹)?
  32. 32.2 : 14 = 16 : ?
  33. 33.Divide ₹55 between Ananya and Zoya in the ratio 5 : 6. How much does Ananya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  35. 35.8 : 12 = 64 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  38. 38.11 : 6 = 22 : ?
  39. 39.10 : 8 = 70 : ?
  40. 40.Divide ₹754 between Kabir and Ishaan in the ratio 7 : 6. How much does Ishaan get (in ₹)?

Answer key

  1. 72
  2. 66
  3. 42
  4. 40
  5. 52
  6. 63
  7. 48
  8. 10
  9. 63
  10. 80
  11. 10
  12. 168
  13. 88
  14. 175
  15. 50
  16. 81
  17. 90
  18. 16
  19. 72
  20. 78
  21. 147
  22. 144
  23. 147
  24. 24
  25. 90
  26. 20
  27. 63
  28. 294
  29. 8
  30. 81
  31. 46
  32. 112
  33. 25
  34. 36
  35. 96
  36. 15
  37. 28
  38. 12
  39. 56
  40. 348

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