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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 581 · 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. 1.3 : 5 = 27 : ?
  2. 2.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  3. 3.5 : 12 = 15 : ?
  4. 4.Divide ₹484 between Saanvi and Farhan in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  5. 5.Divide ₹195 between Diya and Saanvi in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  14. 14.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  16. 16.4 : 14 = 20 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  18. 18.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  19. 19.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  20. 20.Divide ₹63 between Priya and Diya in the ratio 1 : 8. How much does Priya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  22. 22.Divide ₹110 between Aarav and Zoya in the ratio 4 : 1. How much does Aarav get (in ₹)?
  23. 23.Divide ₹969 between Rahul and Dev in the ratio 9 : 8. How much does Dev get (in ₹)?
  24. 24.Divide ₹540 between Meera and Arjun in the ratio 9 : 1. How much does Arjun get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  26. 26.2 : 5 = 6 : ?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.6 : 14 = 18 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  30. 30.12 : 13 = 84 : ?
  31. 31.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  32. 32.Divide ₹572 between Isha and Ananya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  35. 35.Divide ₹960 between Rahul and Dev in the ratio 7 : 9. How much does Rahul get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  37. 37.Divide ₹160 between Sneha and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  38. 38.4 : 6 = 16 : ?
  39. 39.Divide ₹528 between Nisha and Kabir in the ratio 6 : 5. How much does Nisha get (in ₹)?
  40. 40.12 : 5 = 36 : ?

Answer key

  1. 45
  2. 15
  3. 36
  4. 88
  5. 120
  6. 49
  7. 225
  8. 50
  9. 75
  10. 45
  11. 8
  12. 42
  13. 63
  14. 54
  15. 100
  16. 70
  17. 10
  18. 128
  19. 24
  20. 7
  21. 50
  22. 88
  23. 456
  24. 54
  25. 48
  26. 15
  27. 28
  28. 42
  29. 2
  30. 91
  31. 15
  32. 352
  33. 27
  34. 6
  35. 420
  36. 72
  37. 60
  38. 24
  39. 288
  40. 15

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