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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 102 · 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.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  3. 3.Divide ₹576 between Dev and Nisha in the ratio 7 : 5. How much does Dev get (in ₹)?
  4. 4.11 : 5 = 77 : ?
  5. 5.Divide ₹130 between Kavya and Manav in the ratio 2 : 3. How much does Manav get (in ₹)?
  6. 6.Divide ₹517 between Aarav and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
  7. 7.Divide ₹180 between Dev and Sneha in the ratio 7 : 5. How much does Dev get (in ₹)?
  8. 8.Divide ₹45 between Rahul and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
  9. 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  10. 10.4 : 6 = 12 : ?
  11. 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  12. 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  13. 13.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  15. 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.2 : 13 = 4 : ?
  18. 18.Divide ₹615 between Farhan and Saanvi in the ratio 7 : 8. How much does Farhan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  20. 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.Divide ₹352 between Ananya and Aarav in the ratio 7 : 9. How much does Ananya get (in ₹)?
  25. 25.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  31. 31.Divide ₹504 between Zoya and Vivaan in the ratio 7 : 5. How much does Vivaan get (in ₹)?
  32. 32.Divide ₹121 between Ananya and Farhan in the ratio 5 : 6. How much does Ananya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  34. 34.7 : 6 = 14 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  36. 36.3 : 9 = 15 : ?
  37. 37.Divide ₹140 between Kabir and Nisha in the ratio 1 : 9. How much does Nisha get (in ₹)?
  38. 38.3 : 14 = 6 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  40. 40.4 : 12 = 12 : ?

Answer key

  1. 14
  2. 70
  3. 336
  4. 35
  5. 78
  6. 94
  7. 105
  8. 5
  9. 28
  10. 18
  11. 175
  12. 75
  13. 9
  14. 27
  15. 72
  16. 80
  17. 26
  18. 287
  19. 21
  20. 8
  21. 9
  22. 45
  23. 20
  24. 154
  25. 24
  26. 27
  27. 42
  28. 12
  29. 32
  30. 40
  31. 210
  32. 55
  33. 24
  34. 12
  35. 24
  36. 45
  37. 126
  38. 28
  39. 9
  40. 36

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