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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 389 · 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. 1.4 : 3 = 12 : ?
  2. 2.8 : 6 = 24 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  5. 5.5 : 14 = 30 : ?
  6. 6.7 : 4 = 21 : ?
  7. 7.Divide ₹319 between Sneha and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
  8. 8.4 : 13 = 28 : ?
  9. 9.4 : 15 = 16 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Divide ₹143 between Rahul and Kabir in the ratio 7 : 4. How much does Kabir get (in ₹)?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  14. 14.Divide ₹310 between Meera and Rohan in the ratio 1 : 9. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  16. 16.Divide ₹288 between Zoya and Ishaan in the ratio 5 : 1. How much does Zoya get (in ₹)?
  17. 17.3 : 2 = 18 : ?
  18. 18.7 : 5 = 56 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  22. 22.Divide ₹224 between Meera and Vivaan in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  23. 23.11 : 6 = 66 : ?
  24. 24.10 : 2 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  26. 26.11 : 4 = 33 : ?
  27. 27.The ratio of boys to girls in a class is 8 : 9. There are 80 boys. How many girls are there?
  28. 28.Divide ₹116 between Arjun and Isha in the ratio 3 : 1. How much does Arjun get (in ₹)?
  29. 29.Divide ₹420 between Karan and Meera in the ratio 7 : 5. How much does Karan get (in ₹)?
  30. 30.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  31. 31.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.Divide ₹616 between Tara and Arjun in the ratio 8 : 3. How much does Tara get (in ₹)?
  36. 36.4 : 6 = 24 : ?
  37. 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  38. 38.Divide ₹645 between Tara and Aarav in the ratio 7 : 8. How much does Tara get (in ₹)?
  39. 39.Divide ₹468 between Manav and Diya in the ratio 4 : 9. How much does Manav get (in ₹)?
  40. 40.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).

Answer key

  1. 9
  2. 18
  3. 27
  4. 2
  5. 84
  6. 12
  7. 145
  8. 91
  9. 60
  10. 75
  11. 52
  12. 50
  13. 72
  14. 31
  15. 72
  16. 240
  17. 12
  18. 40
  19. 18
  20. 16
  21. 40
  22. 126
  23. 36
  24. 4
  25. 24
  26. 12
  27. 90
  28. 87
  29. 245
  30. 8
  31. 21
  32. 21
  33. 54
  34. 24
  35. 448
  36. 36
  37. 20
  38. 301
  39. 144
  40. 32

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