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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 244 · 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).

NameDateTime takenScore ___ / 40
  1. 1.5 : 4 = 15 : ?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.Divide ₹480 between Farhan and Aditya in the ratio 7 : 5. How much does Farhan get (in ₹)?
  4. 4.Divide ₹225 between Aarav and Kavya in the ratio 5 : 4. How much does Aarav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  8. 8.Divide ₹91 between Priya and Rahul in the ratio 4 : 9. How much does Priya get (in ₹)?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  13. 13.Divide ₹126 between Vivaan and Dev in the ratio 2 : 5. How much does Dev get (in ₹)?
  14. 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Divide ₹480 between Ananya and Kabir in the ratio 1 : 7. How much does Kabir get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  20. 20.Divide ₹165 between Rahul and Aarav in the ratio 2 : 9. How much does Rahul get (in ₹)?
  21. 21.Divide ₹297 between Ishaan and Priya in the ratio 4 : 7. How much does Ishaan get (in ₹)?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.Divide ₹210 between Diya and Zoya in the ratio 1 : 9. How much does Diya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  25. 25.2 : 10 = 6 : ?
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  28. 28.Divide ₹663 between Isha and Arjun in the ratio 6 : 7. How much does Arjun get (in ₹)?
  29. 29.Divide ₹224 between Kavya and Dev in the ratio 9 : 5. How much does Dev get (in ₹)?
  30. 30.8 : 14 = 40 : ?
  31. 31.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  34. 34.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  35. 35.4 : 3 = 36 : ?
  36. 36.9 : 10 = 72 : ?
  37. 37.9 : 11 = 36 : ?
  38. 38.7 : 5 = 56 : ?
  39. 39.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  40. 40.10 : 3 = 40 : ?

Answer key

  1. 12
  2. 16
  3. 280
  4. 125
  5. 12
  6. 6
  7. 48
  8. 28
  9. 50
  10. 20
  11. 32
  12. 14
  13. 90
  14. 45
  15. 64
  16. 420
  17. 36
  18. 12
  19. 150
  20. 30
  21. 108
  22. 8
  23. 21
  24. 72
  25. 30
  26. 28
  27. 8
  28. 357
  29. 80
  30. 70
  31. 72
  32. 63
  33. 25
  34. 36
  35. 27
  36. 80
  37. 44
  38. 40
  39. 63
  40. 12

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