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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 108 · 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 1 : 3. There are 5 boys. How many girls are there?
  2. 2.Divide ₹408 between Rohan and Manav in the ratio 5 : 3. How much does Manav get (in ₹)?
  3. 3.2 : 13 = 16 : ?
  4. 4.8 : 5 = 64 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  8. 8.3 : 13 = 27 : ?
  9. 9.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  10. 10.Divide ₹248 between Sneha and Manav in the ratio 5 : 3. How much does Manav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  13. 13.5 : 2 = 20 : ?
  14. 14.Divide ₹66 between Tara and Pooja in the ratio 4 : 7. How much does Tara get (in ₹)?
  15. 15.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  16. 16.Divide ₹119 between Dev and Saanvi in the ratio 1 : 6. How much does Dev get (in ₹)?
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.11 : 5 = 44 : ?
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.Divide ₹540 between Diya and Pooja in the ratio 5 : 7. How much does Diya get (in ₹)?
  21. 21.9 : 2 = 63 : ?
  22. 22.Divide ₹180 between Arjun and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
  23. 23.5 : 6 = 10 : ?
  24. 24.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  25. 25.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.Divide ₹238 between Meera and Ishaan in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  30. 30.Divide ₹170 between Kavya and Meera in the ratio 9 : 1. How much does Kavya get (in ₹)?
  31. 31.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  32. 32.Divide ₹300 between Manav and Ishaan in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  33. 33.Divide ₹385 between Diya and Isha in the ratio 1 : 6. How much does Diya get (in ₹)?
  34. 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  35. 35.Divide ₹200 between Manav and Ananya in the ratio 1 : 4. How much does Ananya get (in ₹)?
  36. 36.Divide ₹456 between Rahul and Karan in the ratio 7 : 5. How much does Rahul get (in ₹)?
  37. 37.Divide ₹81 between Aarav and Kavya in the ratio 1 : 8. How much does Aarav get (in ₹)?
  38. 38.Divide ₹105 between Meera and Aditya in the ratio 1 : 6. How much does Meera get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  40. 40.8 : 3 = 72 : ?

Answer key

  1. 15
  2. 153
  3. 104
  4. 40
  5. 54
  6. 8
  7. 9
  8. 117
  9. 225
  10. 93
  11. 27
  12. 112
  13. 8
  14. 24
  15. 96
  16. 17
  17. 12
  18. 20
  19. 72
  20. 225
  21. 14
  22. 100
  23. 12
  24. 18
  25. 6
  26. 100
  27. 126
  28. 8
  29. 40
  30. 153
  31. 20
  32. 160
  33. 55
  34. 200
  35. 160
  36. 266
  37. 9
  38. 15
  39. 42
  40. 27

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