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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 561 · 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.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  2. 2.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.12 : 2 = 108 : ?
  5. 5.Divide ₹121 between Ananya and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  7. 7.Divide ₹276 between Sneha and Saanvi in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  8. 8.Divide ₹663 between Kabir and Karan in the ratio 4 : 9. How much does Karan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Divide ₹286 between Rahul and Aditya in the ratio 9 : 2. How much does Rahul get (in ₹)?
  12. 12.Divide ₹539 between Meera and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.4 : 10 = 24 : ?
  15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  16. 16.11 : 4 = 22 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  18. 18.Divide ₹88 between Pooja and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  21. 21.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  24. 24.12 : 3 = 108 : ?
  25. 25.8 : 6 = 32 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  27. 27.10 : 14 = 70 : ?
  28. 28.10 : 7 = 70 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  31. 31.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  32. 32.5 : 13 = 10 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  34. 34.Divide ₹225 between Ishaan and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
  35. 35.2 : 4 = 16 : ?
  36. 36.9 : 8 = 18 : ?
  37. 37.Divide ₹273 between Farhan and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  38. 38.5 : 8 = 35 : ?
  39. 39.Divide ₹63 between Dev and Pooja in the ratio 3 : 4. How much does Dev get (in ₹)?
  40. 40.Divide ₹656 between Priya and Manav in the ratio 9 : 7. How much does Priya get (in ₹)?

Answer key

  1. 4
  2. 54
  3. 28
  4. 18
  5. 33
  6. 6
  7. 46
  8. 459
  9. 18
  10. 128
  11. 234
  12. 98
  13. 18
  14. 60
  15. 100
  16. 8
  17. 2
  18. 64
  19. 20
  20. 32
  21. 72
  22. 56
  23. 16
  24. 27
  25. 24
  26. 16
  27. 98
  28. 49
  29. 9
  30. 35
  31. 150
  32. 26
  33. 64
  34. 175
  35. 32
  36. 16
  37. 195
  38. 56
  39. 27
  40. 369

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