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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 720 · 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. 1.11 : 5 = 55 : ?
  2. 2.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  3. 3.Divide ₹63 between Ananya and Pooja in the ratio 2 : 5. How much does Ananya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  5. 5.11 : 2 = 66 : ?
  6. 6.6 : 3 = 42 : ?
  7. 7.Divide ₹324 between Aarav and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  10. 10.4 : 9 = 32 : ?
  11. 11.Divide ₹88 between Pooja and Aditya in the ratio 1 : 7. How much does Aditya get (in ₹)?
  12. 12.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  13. 13.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  14. 14.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  15. 15.3 : 13 = 9 : ?
  16. 16.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.3 : 8 = 24 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  20. 20.8 : 14 = 48 : ?
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.12 : 13 = 36 : ?
  23. 23.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.3 : 12 = 6 : ?
  26. 26.Divide ₹765 between Vivaan and Meera in the ratio 8 : 7. How much does Meera get (in ₹)?
  27. 27.7 : 14 = 63 : ?
  28. 28.Divide ₹506 between Saanvi and Isha in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  30. 30.Divide ₹576 between Priya and Rohan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  31. 31.Divide ₹126 between Aarav and Vivaan in the ratio 1 : 8. How much does Aarav get (in ₹)?
  32. 32.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  33. 33.12 : 4 = 60 : ?
  34. 34.5 : 3 = 40 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  37. 37.Divide ₹364 between Vivaan and Pooja in the ratio 9 : 4. How much does Vivaan get (in ₹)?
  38. 38.Divide ₹154 between Farhan and Sneha in the ratio 5 : 9. How much does Farhan get (in ₹)?
  39. 39.Divide ₹767 between Pooja and Manav in the ratio 9 : 4. How much does Pooja get (in ₹)?
  40. 40.5 : 8 = 15 : ?

Answer key

  1. 25
  2. 35
  3. 18
  4. 20
  5. 12
  6. 21
  7. 36
  8. 72
  9. 20
  10. 72
  11. 77
  12. 54
  13. 36
  14. 63
  15. 39
  16. 5
  17. 48
  18. 64
  19. 56
  20. 84
  21. 75
  22. 39
  23. 36
  24. 150
  25. 24
  26. 357
  27. 126
  28. 276
  29. 10
  30. 324
  31. 14
  32. 32
  33. 20
  34. 24
  35. 81
  36. 15
  37. 252
  38. 55
  39. 531
  40. 24

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