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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 322 · 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.Divide ₹481 between Rohan and Dev in the ratio 5 : 8. How much does Rohan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  3. 3.Divide ₹95 between Farhan and Saanvi in the ratio 3 : 2. How much does Farhan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  5. 5.Divide ₹336 between Dev and Pooja in the ratio 5 : 3. How much does Dev get (in ₹)?
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.9 : 2 = 18 : ?
  8. 8.Divide ₹261 between Vivaan and Aarav in the ratio 1 : 8. How much does Aarav get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  10. 10.Divide ₹369 between Rahul and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  11. 11.Divide ₹286 between Nisha and Farhan in the ratio 6 : 5. How much does Farhan get (in ₹)?
  12. 12.Divide ₹140 between Nisha and Kabir in the ratio 3 : 7. How much does Kabir get (in ₹)?
  13. 13.Divide ₹451 between Zoya and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  14. 14.Divide ₹35 between Tara and Kabir in the ratio 1 : 6. How much does Tara get (in ₹)?
  15. 15.Divide ₹265 between Ananya and Rahul in the ratio 1 : 4. How much does Ananya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  17. 17.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  18. 18.11 : 13 = 77 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  20. 20.6 : 14 = 48 : ?
  21. 21.5 : 3 = 45 : ?
  22. 22.11 : 2 = 66 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  24. 24.6 : 9 = 12 : ?
  25. 25.Divide ₹559 between Diya and Vivaan in the ratio 8 : 5. How much does Vivaan get (in ₹)?
  26. 26.9 : 5 = 18 : ?
  27. 27.3 : 4 = 18 : ?
  28. 28.8 : 10 = 32 : ?
  29. 29.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  30. 30.Divide ₹143 between Rahul and Aditya in the ratio 9 : 4. How much does Rahul get (in ₹)?
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.Divide ₹209 between Farhan and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  35. 35.Divide ₹341 between Aditya and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  36. 36.5 : 7 = 30 : ?
  37. 37.2 : 9 = 12 : ?
  38. 38.5 : 15 = 30 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?

Answer key

  1. 185
  2. 80
  3. 57
  4. 16
  5. 210
  6. 36
  7. 4
  8. 232
  9. 45
  10. 164
  11. 130
  12. 98
  13. 82
  14. 5
  15. 53
  16. 24
  17. 144
  18. 91
  19. 15
  20. 112
  21. 27
  22. 12
  23. 48
  24. 18
  25. 215
  26. 10
  27. 24
  28. 40
  29. 3
  30. 99
  31. 128
  32. 112
  33. 95
  34. 18
  35. 248
  36. 42
  37. 54
  38. 90
  39. 21
  40. 42

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