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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 677 · 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.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.Divide ₹352 between Pooja and Dev in the ratio 7 : 4. How much does Dev get (in ₹)?
  3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.Divide ₹376 between Aditya and Tara in the ratio 5 : 3. How much does Aditya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  8. 8.Divide ₹531 between Pooja and Aarav in the ratio 8 : 1. How much does Aarav get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  10. 10.Divide ₹252 between Aditya and Ananya in the ratio 1 : 8. How much does Ananya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  12. 12.8 : 6 = 32 : ?
  13. 13.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.Divide ₹663 between Rahul and Ananya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  17. 17.Divide ₹424 between Priya and Nisha in the ratio 5 : 3. How much does Priya get (in ₹)?
  18. 18.7 : 14 = 49 : ?
  19. 19.Divide ₹413 between Zoya and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.4 : 2 = 8 : ?
  22. 22.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  23. 23.2 : 11 = 10 : ?
  24. 24.5 : 11 = 15 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  26. 26.11 : 15 = 44 : ?
  27. 27.Divide ₹296 between Vivaan and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  28. 28.4 : 5 = 12 : ?
  29. 29.Divide ₹88 between Dev and Meera in the ratio 7 : 4. How much does Dev get (in ₹)?
  30. 30.6 : 14 = 18 : ?
  31. 31.7 : 8 = 14 : ?
  32. 32.12 : 10 = 108 : ?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  35. 35.10 : 5 = 50 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  37. 37.Divide ₹190 between Kavya and Isha in the ratio 3 : 2. How much does Kavya get (in ₹)?
  38. 38.9 : 2 = 45 : ?
  39. 39.6 : 9 = 18 : ?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 36
  2. 128
  3. 12
  4. 50
  5. 235
  6. 9
  7. 81
  8. 59
  9. 20
  10. 224
  11. 32
  12. 24
  13. 8
  14. 12
  15. 32
  16. 408
  17. 265
  18. 98
  19. 354
  20. 28
  21. 4
  22. 112
  23. 55
  24. 33
  25. 42
  26. 60
  27. 185
  28. 15
  29. 56
  30. 42
  31. 16
  32. 90
  33. 16
  34. 200
  35. 25
  36. 63
  37. 114
  38. 10
  39. 27
  40. 8

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