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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 68 · 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 : 8 = 20 : ?
  2. 2.5 : 4 = 10 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  5. 5.Divide ₹210 between Pooja and Manav in the ratio 3 : 7. How much does Manav get (in ₹)?
  6. 6.6 : 3 = 12 : ?
  7. 7.2 : 9 = 16 : ?
  8. 8.Divide ₹120 between Ishaan and Rahul in the ratio 3 : 7. How much does Ishaan get (in ₹)?
  9. 9.7 : 4 = 42 : ?
  10. 10.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  11. 11.Divide ₹198 between Arjun and Aditya in the ratio 1 : 5. How much does Arjun get (in ₹)?
  12. 12.3 : 14 = 12 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  14. 14.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  15. 15.Divide ₹121 between Dev and Pooja in the ratio 9 : 2. How much does Pooja get (in ₹)?
  16. 16.Divide ₹752 between Kavya and Kabir in the ratio 7 : 9. How much does Kabir get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  18. 18.Divide ₹468 between Aditya and Rohan in the ratio 7 : 6. How much does Aditya get (in ₹)?
  19. 19.11 : 15 = 88 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.12 : 2 = 72 : ?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.Divide ₹85 between Arjun and Zoya in the ratio 9 : 8. How much does Zoya get (in ₹)?
  27. 27.Divide ₹144 between Manav and Aditya in the ratio 1 : 5. How much does Manav get (in ₹)?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.11 : 9 = 88 : ?
  30. 30.Divide ₹532 between Aarav and Farhan in the ratio 5 : 9. How much does Aarav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  34. 34.4 : 3 = 32 : ?
  35. 35.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  36. 36.Divide ₹275 between Karan and Meera in the ratio 1 : 4. How much does Karan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  38. 38.Divide ₹120 between Diya and Farhan in the ratio 1 : 2. How much does Diya get (in ₹)?
  39. 39.Divide ₹588 between Aarav and Rahul in the ratio 5 : 9. How much does Aarav get (in ₹)?
  40. 40.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).

Answer key

  1. 32
  2. 8
  3. 20
  4. 32
  5. 147
  6. 6
  7. 72
  8. 36
  9. 24
  10. 27
  11. 33
  12. 56
  13. 30
  14. 28
  15. 22
  16. 423
  17. 18
  18. 252
  19. 120
  20. 63
  21. 36
  22. 16
  23. 12
  24. 12
  25. 32
  26. 40
  27. 24
  28. 100
  29. 72
  30. 190
  31. 70
  32. 125
  33. 64
  34. 24
  35. 16
  36. 55
  37. 3
  38. 40
  39. 210
  40. 80

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