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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 735 · 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 : 13 = 28 : ?
  2. 2.2 : 15 = 16 : ?
  3. 3.10 : 4 = 30 : ?
  4. 4.Divide ₹108 between Kavya and Aarav in the ratio 1 : 8. How much does Kavya get (in ₹)?
  5. 5.Divide ₹456 between Isha and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  6. 6.9 : 7 = 81 : ?
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.4 : 8 = 24 : ?
  10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  12. 12.7 : 14 = 56 : ?
  13. 13.Divide ₹418 between Rohan and Ananya in the ratio 3 : 8. How much does Ananya get (in ₹)?
  14. 14.Divide ₹506 between Saanvi and Isha in the ratio 9 : 2. How much does Isha get (in ₹)?
  15. 15.Divide ₹430 between Vivaan and Karan in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  17. 17.Divide ₹154 between Tara and Manav in the ratio 3 : 4. How much does Tara get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  20. 20.Divide ₹481 between Zoya and Dev in the ratio 6 : 7. How much does Zoya get (in ₹)?
  21. 21.7 : 2 = 14 : ?
  22. 22.7 : 15 = 49 : ?
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.11 : 12 = 33 : ?
  27. 27.Divide ₹416 between Rohan and Saanvi in the ratio 7 : 9. How much does Saanvi get (in ₹)?
  28. 28.4 : 15 = 28 : ?
  29. 29.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.The ratio of boys to girls in a class is 9 : 8. There are 45 boys. How many girls are there?
  33. 33.Divide ₹385 between Rahul and Manav in the ratio 8 : 3. How much does Rahul get (in ₹)?
  34. 34.9 : 15 = 63 : ?
  35. 35.Divide ₹234 between Isha and Manav in the ratio 1 : 8. How much does Isha get (in ₹)?
  36. 36.Divide ₹15 between Meera and Tara in the ratio 2 : 1. How much does Tara get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  38. 38.4 : 14 = 8 : ?
  39. 39.2 : 7 = 4 : ?
  40. 40.Divide ₹912 between Manav and Diya in the ratio 7 : 9. How much does Diya get (in ₹)?

Answer key

  1. 91
  2. 120
  3. 12
  4. 12
  5. 57
  6. 63
  7. 45
  8. 8
  9. 48
  10. 225
  11. 24
  12. 112
  13. 304
  14. 92
  15. 43
  16. 50
  17. 66
  18. 30
  19. 36
  20. 222
  21. 4
  22. 105
  23. 18
  24. 45
  25. 200
  26. 36
  27. 234
  28. 105
  29. 128
  30. 63
  31. 32
  32. 40
  33. 280
  34. 105
  35. 26
  36. 5
  37. 35
  38. 28
  39. 14
  40. 513

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