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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 674 · 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. 1.10 : 7 = 80 : ?
  2. 2.Divide ₹320 between Ananya and Zoya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  3. 3.4 : 9 = 28 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  5. 5.5 : 10 = 15 : ?
  6. 6.6 : 8 = 42 : ?
  7. 7.Divide ₹245 between Karan and Diya in the ratio 6 : 1. How much does Karan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.Divide ₹112 between Diya and Saanvi in the ratio 2 : 5. How much does Diya get (in ₹)?
  11. 11.4 : 13 = 28 : ?
  12. 12.Divide ₹135 between Aditya and Ananya in the ratio 2 : 1. How much does Ananya get (in ₹)?
  13. 13.Divide ₹176 between Rahul and Ishaan in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  16. 16.Divide ₹56 between Aarav and Tara in the ratio 5 : 2. How much does Aarav get (in ₹)?
  17. 17.9 : 13 = 36 : ?
  18. 18.Divide ₹76 between Kabir and Kavya in the ratio 3 : 1. How much does Kavya get (in ₹)?
  19. 19.12 : 15 = 84 : ?
  20. 20.Divide ₹969 between Rahul and Farhan in the ratio 9 : 8. How much does Farhan get (in ₹)?
  21. 21.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  22. 22.3 : 14 = 6 : ?
  23. 23.8 : 13 = 24 : ?
  24. 24.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  25. 25.Divide ₹78 between Tara and Isha in the ratio 6 : 7. How much does Tara get (in ₹)?
  26. 26.4 : 13 = 24 : ?
  27. 27.Divide ₹312 between Sneha and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  29. 29.8 : 7 = 40 : ?
  30. 30.9 : 7 = 18 : ?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  34. 34.Divide ₹66 between Zoya and Arjun in the ratio 1 : 5. How much does Zoya get (in ₹)?
  35. 35.2 : 7 = 12 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  38. 38.Divide ₹189 between Zoya and Aditya in the ratio 6 : 1. How much does Aditya get (in ₹)?
  39. 39.Divide ₹60 between Saanvi and Diya in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  40. 40.11 : 8 = 33 : ?

Answer key

  1. 56
  2. 96
  3. 63
  4. 50
  5. 30
  6. 56
  7. 210
  8. 63
  9. 75
  10. 32
  11. 91
  12. 45
  13. 22
  14. 32
  15. 150
  16. 40
  17. 52
  18. 19
  19. 105
  20. 456
  21. 24
  22. 28
  23. 39
  24. 100
  25. 36
  26. 78
  27. 52
  28. 48
  29. 35
  30. 14
  31. 81
  32. 32
  33. 8
  34. 11
  35. 42
  36. 9
  37. 20
  38. 27
  39. 12
  40. 24

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