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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 429 · 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).

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  1. 1.9 : 5 = 63 : ?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.Divide ₹210 between Aditya and Arjun in the ratio 9 : 5. How much does Aditya get (in ₹)?
  4. 4.Divide ₹111 between Rahul and Sneha in the ratio 1 : 2. How much does Rahul get (in ₹)?
  5. 5.Divide ₹78 between Rahul and Arjun in the ratio 6 : 7. How much does Arjun get (in ₹)?
  6. 6.Divide ₹63 between Nisha and Arjun in the ratio 1 : 6. How much does Arjun get (in ₹)?
  7. 7.3 : 9 = 27 : ?
  8. 8.Divide ₹172 between Dev and Nisha in the ratio 3 : 1. How much does Nisha get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.6 : 12 = 24 : ?
  12. 12.4 : 9 = 16 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  17. 17.Divide ₹72 between Sneha and Rohan in the ratio 2 : 1. How much does Sneha get (in ₹)?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  20. 20.Divide ₹144 between Diya and Priya in the ratio 2 : 1. How much does Diya get (in ₹)?
  21. 21.8 : 10 = 32 : ?
  22. 22.7 : 2 = 42 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  24. 24.Divide ₹322 between Pooja and Manav in the ratio 9 : 5. How much does Manav get (in ₹)?
  25. 25.Divide ₹264 between Karan and Ananya in the ratio 1 : 7. How much does Karan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  29. 29.Divide ₹352 between Ananya and Vivaan in the ratio 7 : 4. How much does Ananya get (in ₹)?
  30. 30.Divide ₹588 between Zoya and Dev in the ratio 7 : 5. How much does Zoya get (in ₹)?
  31. 31.11 : 5 = 99 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  33. 33.Divide ₹230 between Saanvi and Rahul in the ratio 1 : 4. How much does Rahul get (in ₹)?
  34. 34.Divide ₹540 between Nisha and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  35. 35.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  36. 36.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.Divide ₹135 between Rohan and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?

Answer key

  1. 35
  2. 32
  3. 135
  4. 37
  5. 42
  6. 54
  7. 81
  8. 43
  9. 24
  10. 24
  11. 48
  12. 36
  13. 32
  14. 64
  15. 8
  16. 8
  17. 48
  18. 144
  19. 30
  20. 96
  21. 40
  22. 12
  23. 27
  24. 115
  25. 33
  26. 49
  27. 7
  28. 12
  29. 224
  30. 343
  31. 45
  32. 36
  33. 184
  34. 240
  35. 112
  36. 21
  37. 45
  38. 40
  39. 75
  40. 45

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