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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 295 · 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 ₹280 between Kavya and Diya in the ratio 2 : 5. How much does Diya get (in ₹)?
  2. 2.5 : 14 = 20 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  6. 6.7 : 8 = 14 : ?
  7. 7.12 : 7 = 84 : ?
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  10. 10.Divide ₹126 between Nisha and Aarav in the ratio 2 : 5. How much does Nisha get (in ₹)?
  11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  12. 12.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  14. 14.Divide ₹506 between Tara and Nisha in the ratio 7 : 4. How much does Nisha get (in ₹)?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.3 : 11 = 9 : ?
  17. 17.Divide ₹351 between Meera and Isha in the ratio 6 : 7. How much does Isha get (in ₹)?
  18. 18.Divide ₹308 between Priya and Rohan in the ratio 8 : 3. How much does Rohan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.Divide ₹407 between Ishaan and Karan in the ratio 7 : 4. How much does Karan get (in ₹)?
  24. 24.Divide ₹506 between Ananya and Kabir in the ratio 8 : 3. How much does Ananya get (in ₹)?
  25. 25.Divide ₹84 between Ananya and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  26. 26.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.Divide ₹648 between Karan and Nisha in the ratio 5 : 7. How much does Nisha get (in ₹)?
  32. 32.Divide ₹301 between Tara and Aarav in the ratio 3 : 4. How much does Aarav get (in ₹)?
  33. 33.Divide ₹420 between Aarav and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  34. 34.10 : 13 = 50 : ?
  35. 35.Divide ₹420 between Saanvi and Karan in the ratio 3 : 4. How much does Karan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  38. 38.6 : 8 = 30 : ?
  39. 39.Divide ₹189 between Nisha and Zoya in the ratio 3 : 4. How much does Zoya get (in ₹)?
  40. 40.9 : 12 = 18 : ?

Answer key

  1. 200
  2. 56
  3. 16
  4. 30
  5. 63
  6. 16
  7. 49
  8. 32
  9. 27
  10. 36
  11. 150
  12. 18
  13. 5
  14. 184
  15. 36
  16. 33
  17. 189
  18. 84
  19. 35
  20. 10
  21. 6
  22. 45
  23. 148
  24. 368
  25. 54
  26. 75
  27. 35
  28. 36
  29. 16
  30. 225
  31. 378
  32. 172
  33. 378
  34. 65
  35. 240
  36. 14
  37. 32
  38. 40
  39. 108
  40. 24

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