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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 605 · 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 7 : 5. There are 49 boys. How many girls are there?
  2. 2.Divide ₹99 between Karan and Meera in the ratio 2 : 9. How much does Karan get (in ₹)?
  3. 3.Divide ₹462 between Vivaan and Diya in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  4. 4.4 : 3 = 32 : ?
  5. 5.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  6. 6.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  8. 8.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  11. 11.Divide ₹64 between Meera and Karan in the ratio 3 : 5. How much does Karan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.10 : 4 = 40 : ?
  15. 15.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  16. 16.Divide ₹165 between Arjun and Manav in the ratio 4 : 1. How much does Arjun get (in ₹)?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  20. 20.6 : 2 = 12 : ?
  21. 21.8 : 14 = 72 : ?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.Divide ₹187 between Zoya and Sneha in the ratio 8 : 3. How much does Zoya get (in ₹)?
  24. 24.8 : 6 = 32 : ?
  25. 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  26. 26.9 : 11 = 36 : ?
  27. 27.8 : 7 = 48 : ?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  31. 31.4 : 13 = 28 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  33. 33.Divide ₹324 between Rahul and Meera in the ratio 5 : 7. How much does Rahul get (in ₹)?
  34. 34.Divide ₹154 between Tara and Vivaan in the ratio 9 : 5. How much does Tara get (in ₹)?
  35. 35.Divide ₹531 between Karan and Aditya in the ratio 4 : 5. How much does Aditya get (in ₹)?
  36. 36.Divide ₹232 between Arjun and Tara in the ratio 7 : 1. How much does Tara get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  38. 38.2 : 4 = 16 : ?
  39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  40. 40.4 : 8 = 16 : ?

Answer key

  1. 35
  2. 18
  3. 165
  4. 24
  5. 80
  6. 225
  7. 48
  8. 36
  9. 8
  10. 16
  11. 40
  12. 63
  13. 32
  14. 16
  15. 14
  16. 132
  17. 16
  18. 18
  19. 5
  20. 4
  21. 126
  22. 48
  23. 136
  24. 24
  25. 63
  26. 44
  27. 42
  28. 42
  29. 10
  30. 18
  31. 91
  32. 25
  33. 135
  34. 99
  35. 295
  36. 29
  37. 18
  38. 32
  39. 24
  40. 32

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