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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 96 · 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.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  2. 2.Divide ₹430 between Diya and Nisha in the ratio 9 : 1. How much does Diya get (in ₹)?
  3. 3.3 : 2 = 21 : ?
  4. 4.11 : 10 = 55 : ?
  5. 5.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  6. 6.2 : 6 = 10 : ?
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.Divide ₹186 between Isha and Meera in the ratio 5 : 1. How much does Meera get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  12. 12.4 : 10 = 8 : ?
  13. 13.Divide ₹49 between Pooja and Diya in the ratio 5 : 2. How much does Diya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  15. 15.Divide ₹77 between Sneha and Aarav in the ratio 3 : 4. How much does Sneha get (in ₹)?
  16. 16.11 : 2 = 66 : ?
  17. 17.Divide ₹510 between Zoya and Kabir in the ratio 7 : 3. How much does Zoya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  21. 21.4 : 9 = 36 : ?
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.Divide ₹78 between Arjun and Vivaan in the ratio 7 : 6. How much does Arjun get (in ₹)?
  24. 24.Divide ₹143 between Priya and Saanvi in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  25. 25.12 : 14 = 24 : ?
  26. 26.4 : 9 = 12 : ?
  27. 27.Divide ₹160 between Vivaan and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  28. 28.Divide ₹153 between Rohan and Saanvi in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  29. 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  33. 33.Divide ₹315 between Aditya and Karan in the ratio 1 : 8. How much does Karan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  35. 35.5 : 9 = 15 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  37. 37.Divide ₹85 between Farhan and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  38. 38.7 : 9 = 35 : ?
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 6
  2. 387
  3. 14
  4. 50
  5. 12
  6. 30
  7. 50
  8. 27
  9. 31
  10. 42
  11. 8
  12. 20
  13. 14
  14. 30
  15. 33
  16. 12
  17. 357
  18. 18
  19. 18
  20. 24
  21. 81
  22. 16
  23. 42
  24. 117
  25. 28
  26. 27
  27. 48
  28. 72
  29. 32
  30. 175
  31. 32
  32. 25
  33. 280
  34. 14
  35. 27
  36. 6
  37. 34
  38. 45
  39. 18
  40. 36

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