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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 865 · 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 : 9. There are 4 boys. How many girls are there?
  2. 2.10 : 2 = 70 : ?
  3. 3.4 : 11 = 28 : ?
  4. 4.Divide ₹504 between Ananya and Meera in the ratio 5 : 4. How much does Meera get (in ₹)?
  5. 5.3 : 5 = 12 : ?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  9. 9.Divide ₹180 between Saanvi and Rohan in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  10. 10.Divide ₹66 between Isha and Diya in the ratio 8 : 3. How much does Diya get (in ₹)?
  11. 11.4 : 3 = 8 : ?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  13. 13.6 : 3 = 18 : ?
  14. 14.Divide ₹162 between Dev and Rohan in the ratio 5 : 4. How much does Rohan get (in ₹)?
  15. 15.Divide ₹102 between Kavya and Diya in the ratio 1 : 2. How much does Kavya get (in ₹)?
  16. 16.Divide ₹350 between Aarav and Aditya in the ratio 5 : 2. How much does Aarav get (in ₹)?
  17. 17.2 : 4 = 18 : ?
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  20. 20.Divide ₹370 between Diya and Manav in the ratio 1 : 9. How much does Diya get (in ₹)?
  21. 21.Divide ₹49 between Manav and Aditya in the ratio 6 : 1. How much does Manav get (in ₹)?
  22. 22.2 : 8 = 12 : ?
  23. 23.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  24. 24.3 : 4 = 18 : ?
  25. 25.3 : 5 = 21 : ?
  26. 26.3 : 4 = 6 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  28. 28.Divide ₹60 between Priya and Dev in the ratio 1 : 3. How much does Priya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  30. 30.12 : 11 = 72 : ?
  31. 31.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  32. 32.Divide ₹462 between Meera and Arjun in the ratio 6 : 5. How much does Arjun get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  34. 34.Divide ₹559 between Ananya and Rohan in the ratio 6 : 7. How much does Ananya get (in ₹)?
  35. 35.Divide ₹168 between Meera and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
  36. 36.Divide ₹390 between Meera and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  37. 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  38. 38.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  39. 39.Divide ₹98 between Manav and Kabir in the ratio 5 : 2. How much does Manav get (in ₹)?
  40. 40.8 : 5 = 40 : ?

Answer key

  1. 36
  2. 14
  3. 77
  4. 224
  5. 20
  6. 8
  7. 3
  8. 50
  9. 140
  10. 18
  11. 6
  12. 2
  13. 9
  14. 72
  15. 34
  16. 250
  17. 36
  18. 12
  19. 40
  20. 37
  21. 42
  22. 48
  23. 45
  24. 24
  25. 35
  26. 8
  27. 8
  28. 15
  29. 20
  30. 66
  31. 10
  32. 210
  33. 40
  34. 258
  35. 120
  36. 351
  37. 16
  38. 100
  39. 70
  40. 25

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