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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 588 · 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 : 5. There are 20 boys. How many girls are there?
  2. 2.2 : 11 = 18 : ?
  3. 3.Divide ₹152 between Arjun and Saanvi in the ratio 1 : 3. How much does Arjun get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.2 : 13 = 4 : ?
  11. 11.4 : 7 = 12 : ?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.4 : 2 = 16 : ?
  14. 14.9 : 3 = 81 : ?
  15. 15.2 : 5 = 8 : ?
  16. 16.6 : 14 = 36 : ?
  17. 17.Divide ₹154 between Tara and Dev in the ratio 2 : 5. How much does Dev get (in ₹)?
  18. 18.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  19. 19.5 : 7 = 30 : ?
  20. 20.Divide ₹180 between Nisha and Vivaan in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  21. 21.Divide ₹60 between Nisha and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.Divide ₹440 between Kavya and Meera in the ratio 6 : 5. How much does Kavya get (in ₹)?
  24. 24.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.Divide ₹66 between Manav and Isha in the ratio 5 : 6. How much does Isha get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  28. 28.8 : 6 = 32 : ?
  29. 29.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  30. 30.5 : 8 = 40 : ?
  31. 31.9 : 6 = 27 : ?
  32. 32.4 : 5 = 36 : ?
  33. 33.2 : 3 = 8 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  37. 37.12 : 3 = 96 : ?
  38. 38.7 : 2 = 21 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  40. 40.2 : 3 = 16 : ?

Answer key

  1. 50
  2. 99
  3. 38
  4. 27
  5. 9
  6. 24
  7. 16
  8. 8
  9. 32
  10. 26
  11. 21
  12. 36
  13. 8
  14. 27
  15. 20
  16. 84
  17. 110
  18. 80
  19. 42
  20. 36
  21. 45
  22. 12
  23. 240
  24. 175
  25. 48
  26. 36
  27. 56
  28. 24
  29. 72
  30. 64
  31. 18
  32. 45
  33. 12
  34. 36
  35. 80
  36. 54
  37. 24
  38. 6
  39. 18
  40. 24

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