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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 143 · 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.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  4. 4.10 : 6 = 20 : ?
  5. 5.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  6. 6.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  7. 7.11 : 3 = 99 : ?
  8. 8.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  9. 9.3 : 12 = 15 : ?
  10. 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.Divide ₹75 between Pooja and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
  13. 13.Divide ₹312 between Diya and Saanvi in the ratio 5 : 1. How much does Diya get (in ₹)?
  14. 14.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  15. 15.3 : 11 = 12 : ?
  16. 16.5 : 8 = 40 : ?
  17. 17.Divide ₹432 between Aditya and Sneha in the ratio 7 : 5. How much does Aditya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  19. 19.4 : 13 = 28 : ?
  20. 20.Divide ₹336 between Tara and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.5 : 15 = 20 : ?
  23. 23.Divide ₹462 between Aditya and Priya in the ratio 9 : 5. How much does Aditya get (in ₹)?
  24. 24.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  25. 25.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  26. 26.3 : 6 = 21 : ?
  27. 27.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  29. 29.Divide ₹590 between Vivaan and Isha in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  30. 30.Divide ₹250 between Ananya and Diya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  31. 31.Divide ₹80 between Rahul and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹638 between Karan and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  34. 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  35. 35.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  36. 36.2 : 11 = 16 : ?
  37. 37.Divide ₹256 between Kabir and Tara in the ratio 9 : 7. How much does Kabir get (in ₹)?
  38. 38.Divide ₹128 between Pooja and Saanvi in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  39. 39.6 : 5 = 42 : ?
  40. 40.Divide ₹104 between Ananya and Aarav in the ratio 5 : 3. How much does Ananya get (in ₹)?

Answer key

  1. 12
  2. 80
  3. 7
  4. 12
  5. 125
  6. 27
  7. 27
  8. 20
  9. 60
  10. 72
  11. 96
  12. 30
  13. 260
  14. 24
  15. 44
  16. 64
  17. 252
  18. 30
  19. 91
  20. 56
  21. 12
  22. 60
  23. 297
  24. 80
  25. 50
  26. 42
  27. 18
  28. 4
  29. 531
  30. 200
  31. 10
  32. 128
  33. 464
  34. 32
  35. 28
  36. 88
  37. 144
  38. 16
  39. 35
  40. 65

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