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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 813 · 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 24 (that is, 8 : 24 = 24 : ?).
  2. 2.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  5. 5.6 : 12 = 12 : ?
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  8. 8.7 : 5 = 14 : ?
  9. 9.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  10. 10.Divide ₹540 between Rohan and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  11. 11.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  12. 12.5 : 10 = 10 : ?
  13. 13.Divide ₹462 between Ananya and Vivaan in the ratio 8 : 3. How much does Ananya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  16. 16.10 : 12 = 90 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  19. 19.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  20. 20.3 : 12 = 24 : ?
  21. 21.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  23. 23.7 : 10 = 14 : ?
  24. 24.11 : 2 = 33 : ?
  25. 25.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  26. 26.3 : 7 = 18 : ?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.5 : 8 = 20 : ?
  29. 29.Divide ₹580 between Ananya and Tara in the ratio 7 : 3. How much does Ananya get (in ₹)?
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.Divide ₹209 between Isha and Aditya in the ratio 6 : 5. How much does Isha get (in ₹)?
  32. 32.Divide ₹288 between Aditya and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  33. 33.Divide ₹513 between Pooja and Saanvi in the ratio 7 : 2. How much does Pooja get (in ₹)?
  34. 34.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  35. 35.6 : 4 = 18 : ?
  36. 36.Divide ₹220 between Manav and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  38. 38.Divide ₹360 between Priya and Karan in the ratio 7 : 1. How much does Karan get (in ₹)?
  39. 39.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  40. 40.Divide ₹590 between Vivaan and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?

Answer key

  1. 72
  2. 30
  3. 64
  4. 64
  5. 24
  6. 24
  7. 21
  8. 10
  9. 63
  10. 480
  11. 125
  12. 20
  13. 336
  14. 10
  15. 128
  16. 108
  17. 9
  18. 45
  19. 64
  20. 96
  21. 9
  22. 27
  23. 20
  24. 6
  25. 80
  26. 42
  27. 28
  28. 32
  29. 406
  30. 32
  31. 114
  32. 168
  33. 399
  34. 144
  35. 12
  36. 80
  37. 10
  38. 45
  39. 36
  40. 59

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