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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 637 · 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 16 (that is, 8 : 16 = 16 : ?).
  2. 2.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  5. 5.Divide ₹528 between Aarav and Karan in the ratio 7 : 5. How much does Aarav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  8. 8.3 : 6 = 15 : ?
  9. 9.Divide ₹715 between Aarav and Rahul in the ratio 5 : 8. How much does Aarav get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  11. 11.Divide ₹55 between Diya and Aditya in the ratio 1 : 4. How much does Diya get (in ₹)?
  12. 12.11 : 10 = 33 : ?
  13. 13.Divide ₹56 between Priya and Saanvi in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  17. 17.Divide ₹333 between Ishaan and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  19. 19.Divide ₹35 between Saanvi and Nisha in the ratio 2 : 3. How much does Saanvi get (in ₹)?
  20. 20.7 : 4 = 21 : ?
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.3 : 11 = 12 : ?
  23. 23.Divide ₹77 between Karan and Saanvi in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  24. 24.Divide ₹260 between Pooja and Isha in the ratio 6 : 7. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  26. 26.10 : 4 = 60 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  28. 28.Divide ₹600 between Kavya and Rahul in the ratio 5 : 7. How much does Kavya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
  32. 32.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  33. 33.3 : 11 = 9 : ?
  34. 34.8 : 4 = 48 : ?
  35. 35.8 : 9 = 32 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  39. 39.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  40. 40.Divide ₹169 between Pooja and Diya in the ratio 6 : 7. How much does Diya get (in ₹)?

Answer key

  1. 32
  2. 12
  3. 28
  4. 9
  5. 308
  6. 30
  7. 20
  8. 30
  9. 275
  10. 10
  11. 11
  12. 30
  13. 14
  14. 48
  15. 36
  16. 7
  17. 148
  18. 45
  19. 14
  20. 12
  21. 64
  22. 44
  23. 44
  24. 120
  25. 12
  26. 24
  27. 30
  28. 250
  29. 7
  30. 6
  31. 30
  32. 225
  33. 33
  34. 24
  35. 36
  36. 6
  37. 8
  38. 36
  39. 25
  40. 91

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