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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 355 · 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 7 and 14 (that is, 7 : 14 = 14 : ?).
  2. 2.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  3. 3.Divide ₹180 between Karan and Vivaan in the ratio 4 : 1. How much does Karan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  5. 5.Divide ₹328 between Diya and Rohan in the ratio 1 : 7. How much does Diya get (in ₹)?
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.Divide ₹540 between Ananya and Karan in the ratio 8 : 1. How much does Karan get (in ₹)?
  8. 8.Divide ₹470 between Kabir and Ishaan in the ratio 9 : 1. How much does Ishaan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  13. 13.4 : 7 = 8 : ?
  14. 14.Divide ₹396 between Ishaan and Rahul in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  16. 16.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  17. 17.Divide ₹252 between Priya and Aarav in the ratio 6 : 1. How much does Priya get (in ₹)?
  18. 18.Divide ₹112 between Karan and Dev in the ratio 7 : 1. How much does Karan get (in ₹)?
  19. 19.Divide ₹238 between Rohan and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
  20. 20.4 : 8 = 24 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  24. 24.Divide ₹468 between Ishaan and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  26. 26.Divide ₹384 between Tara and Aarav in the ratio 3 : 5. How much does Aarav get (in ₹)?
  27. 27.Divide ₹315 between Rahul and Kavya in the ratio 8 : 1. How much does Rahul get (in ₹)?
  28. 28.Divide ₹481 between Ishaan and Meera in the ratio 5 : 8. How much does Meera get (in ₹)?
  29. 29.12 : 5 = 48 : ?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.9 : 7 = 72 : ?
  32. 32.Divide ₹110 between Aditya and Priya in the ratio 7 : 4. How much does Aditya get (in ₹)?
  33. 33.11 : 10 = 33 : ?
  34. 34.2 : 11 = 8 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  36. 36.Divide ₹55 between Saanvi and Isha in the ratio 4 : 1. How much does Isha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  39. 39.4 : 10 = 24 : ?
  40. 40.Divide ₹54 between Meera and Aarav in the ratio 5 : 1. How much does Meera get (in ₹)?

Answer key

  1. 28
  2. 32
  3. 144
  4. 50
  5. 41
  6. 24
  7. 60
  8. 47
  9. 8
  10. 32
  11. 35
  12. 21
  13. 14
  14. 72
  15. 45
  16. 36
  17. 216
  18. 98
  19. 204
  20. 48
  21. 24
  22. 40
  23. 36
  24. 260
  25. 18
  26. 240
  27. 280
  28. 296
  29. 20
  30. 20
  31. 56
  32. 70
  33. 30
  34. 44
  35. 21
  36. 11
  37. 28
  38. 30
  39. 60
  40. 45

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