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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 477 · 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.Divide ₹583 between Kabir and Nisha in the ratio 4 : 7. How much does Nisha get (in ₹)?
  2. 2.Divide ₹42 between Ishaan and Pooja in the ratio 3 : 4. How much does Pooja get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  4. 4.9 : 10 = 18 : ?
  5. 5.Divide ₹152 between Kabir and Pooja in the ratio 1 : 3. How much does Pooja get (in ₹)?
  6. 6.Divide ₹338 between Nisha and Kabir in the ratio 9 : 4. How much does Nisha get (in ₹)?
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.3 : 14 = 6 : ?
  9. 9.10 : 15 = 70 : ?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.3 : 15 = 21 : ?
  12. 12.7 : 4 = 28 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  14. 14.Divide ₹450 between Aarav and Farhan in the ratio 7 : 3. How much does Farhan get (in ₹)?
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.7 : 3 = 56 : ?
  17. 17.Divide ₹338 between Nisha and Meera in the ratio 9 : 4. How much does Meera get (in ₹)?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  20. 20.9 : 2 = 27 : ?
  21. 21.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  22. 22.Divide ₹572 between Kabir and Zoya in the ratio 4 : 7. How much does Kabir get (in ₹)?
  23. 23.Divide ₹585 between Aarav and Manav in the ratio 4 : 9. How much does Aarav get (in ₹)?
  24. 24.3 : 14 = 27 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  30. 30.Divide ₹650 between Kabir and Rahul in the ratio 9 : 4. How much does Kabir get (in ₹)?
  31. 31.Divide ₹260 between Karan and Zoya in the ratio 7 : 3. How much does Karan get (in ₹)?
  32. 32.11 : 8 = 99 : ?
  33. 33.Divide ₹45 between Aarav and Karan in the ratio 4 : 5. How much does Karan get (in ₹)?
  34. 34.Divide ₹143 between Arjun and Diya in the ratio 5 : 6. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  37. 37.11 : 3 = 88 : ?
  38. 38.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  39. 39.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

Answer key

  1. 371
  2. 24
  3. 20
  4. 20
  5. 114
  6. 234
  7. 225
  8. 28
  9. 105
  10. 18
  11. 105
  12. 16
  13. 30
  14. 135
  15. 28
  16. 24
  17. 104
  18. 27
  19. 81
  20. 6
  21. 16
  22. 208
  23. 180
  24. 126
  25. 14
  26. 18
  27. 14
  28. 32
  29. 150
  30. 450
  31. 182
  32. 72
  33. 25
  34. 65
  35. 8
  36. 50
  37. 24
  38. 96
  39. 21
  40. 63

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