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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 94 · 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 9 : 2. There are 54 boys. How many girls are there?
  2. 2.Divide ₹680 between Karan and Rahul in the ratio 9 : 8. How much does Karan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  5. 5.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  7. 7.8 : 4 = 48 : ?
  8. 8.Divide ₹189 between Sneha and Isha in the ratio 2 : 7. How much does Sneha get (in ₹)?
  9. 9.Divide ₹195 between Karan and Pooja in the ratio 1 : 4. How much does Karan get (in ₹)?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Divide ₹224 between Manav and Dev in the ratio 5 : 2. How much does Dev get (in ₹)?
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.Divide ₹405 between Dev and Aditya in the ratio 8 : 1. How much does Aditya get (in ₹)?
  14. 14.Divide ₹250 between Vivaan and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  15. 15.2 : 15 = 6 : ?
  16. 16.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  19. 19.Divide ₹330 between Rahul and Pooja in the ratio 7 : 4. How much does Rahul get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  22. 22.Divide ₹154 between Arjun and Diya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  23. 23.10 : 12 = 90 : ?
  24. 24.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  25. 25.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  26. 26.4 : 14 = 36 : ?
  27. 27.Divide ₹30 between Dev and Meera in the ratio 1 : 5. How much does Meera get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  29. 29.6 : 3 = 18 : ?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.Divide ₹99 between Aditya and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.10 : 13 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Divide ₹192 between Isha and Saanvi in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  37. 37.6 : 8 = 18 : ?
  38. 38.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  39. 39.Divide ₹350 between Kavya and Ananya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?

Answer key

  1. 12
  2. 360
  3. 15
  4. 36
  5. 16
  6. 45
  7. 24
  8. 42
  9. 39
  10. 128
  11. 64
  12. 12
  13. 45
  14. 50
  15. 45
  16. 9
  17. 16
  18. 12
  19. 210
  20. 7
  21. 63
  22. 88
  23. 108
  24. 27
  25. 72
  26. 126
  27. 25
  28. 54
  29. 9
  30. 144
  31. 66
  32. 32
  33. 26
  34. 7
  35. 8
  36. 120
  37. 24
  38. 14
  39. 250
  40. 50

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