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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 371 · 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 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  6. 6.Divide ₹168 between Manav and Rahul in the ratio 9 : 5. How much does Manav get (in ₹)?
  7. 7.Divide ₹825 between Farhan and Sneha in the ratio 7 : 8. How much does Farhan get (in ₹)?
  8. 8.Divide ₹377 between Priya and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.11 : 12 = 33 : ?
  14. 14.Divide ₹140 between Diya and Karan in the ratio 3 : 1. How much does Karan get (in ₹)?
  15. 15.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  16. 16.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  18. 18.6 : 5 = 30 : ?
  19. 19.9 : 6 = 63 : ?
  20. 20.Divide ₹140 between Arjun and Diya in the ratio 7 : 3. How much does Arjun get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  22. 22.Divide ₹111 between Priya and Manav in the ratio 1 : 2. How much does Manav get (in ₹)?
  23. 23.Divide ₹209 between Kabir and Zoya in the ratio 9 : 2. How much does Kabir get (in ₹)?
  24. 24.Divide ₹885 between Isha and Kavya in the ratio 8 : 7. How much does Isha get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.Divide ₹144 between Arjun and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  30. 30.Divide ₹150 between Sneha and Karan in the ratio 7 : 8. How much does Sneha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  32. 32.7 : 4 = 14 : ?
  33. 33.Divide ₹180 between Dev and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  34. 34.2 : 7 = 8 : ?
  35. 35.Divide ₹215 between Ishaan and Pooja in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  37. 37.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  38. 38.7 : 2 = 21 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?

Answer key

  1. 128
  2. 18
  3. 75
  4. 80
  5. 7
  6. 108
  7. 385
  8. 145
  9. 48
  10. 40
  11. 7
  12. 16
  13. 36
  14. 35
  15. 125
  16. 63
  17. 12
  18. 25
  19. 42
  20. 98
  21. 21
  22. 74
  23. 171
  24. 472
  25. 18
  26. 225
  27. 45
  28. 64
  29. 54
  30. 70
  31. 8
  32. 8
  33. 40
  34. 28
  35. 86
  36. 175
  37. 35
  38. 6
  39. 32
  40. 16

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