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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 870 · 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.Divide ₹658 between Sneha and Priya in the ratio 5 : 9. How much does Sneha get (in ₹)?
  2. 2.9 : 8 = 36 : ?
  3. 3.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.6 : 2 = 54 : ?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.12 : 4 = 24 : ?
  8. 8.Divide ₹560 between Karan and Diya in the ratio 3 : 7. How much does Diya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  10. 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  11. 11.5 : 2 = 20 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  14. 14.Divide ₹27 between Diya and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
  15. 15.Divide ₹209 between Pooja and Ishaan in the ratio 5 : 6. How much does Pooja get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  17. 17.Divide ₹736 between Rohan and Diya in the ratio 9 : 7. How much does Diya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  19. 19.2 : 7 = 4 : ?
  20. 20.7 : 2 = 35 : ?
  21. 21.Divide ₹190 between Arjun and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  24. 24.Divide ₹408 between Meera and Manav in the ratio 7 : 5. How much does Manav get (in ₹)?
  25. 25.8 : 2 = 16 : ?
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  27. 27.Divide ₹420 between Ishaan and Karan in the ratio 9 : 1. How much does Karan get (in ₹)?
  28. 28.2 : 10 = 4 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  30. 30.3 : 4 = 9 : ?
  31. 31.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  32. 32.10 : 5 = 80 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  36. 36.11 : 3 = 66 : ?
  37. 37.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  39. 39.3 : 10 = 15 : ?
  40. 40.Divide ₹495 between Ananya and Dev in the ratio 7 : 8. How much does Ananya get (in ₹)?

Answer key

  1. 235
  2. 32
  3. 18
  4. 48
  5. 18
  6. 8
  7. 8
  8. 392
  9. 10
  10. 28
  11. 8
  12. 25
  13. 81
  14. 18
  15. 95
  16. 10
  17. 322
  18. 42
  19. 14
  20. 10
  21. 114
  22. 14
  23. 10
  24. 170
  25. 4
  26. 28
  27. 42
  28. 20
  29. 35
  30. 12
  31. 18
  32. 40
  33. 72
  34. 40
  35. 150
  36. 18
  37. 24
  38. 10
  39. 50
  40. 231

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