← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 757 · 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.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  5. 5.Divide ₹616 between Aditya and Rohan in the ratio 9 : 2. How much does Aditya get (in ₹)?
  6. 6.7 : 3 = 42 : ?
  7. 7.9 : 5 = 72 : ?
  8. 8.4 : 14 = 20 : ?
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.Divide ₹180 between Zoya and Diya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  11. 11.Divide ₹432 between Farhan and Karan in the ratio 5 : 4. How much does Karan get (in ₹)?
  12. 12.7 : 4 = 21 : ?
  13. 13.Divide ₹450 between Rahul and Farhan in the ratio 4 : 5. How much does Farhan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  15. 15.Divide ₹598 between Pooja and Diya in the ratio 8 : 5. How much does Diya get (in ₹)?
  16. 16.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  17. 17.10 : 9 = 40 : ?
  18. 18.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  19. 19.9 : 4 = 36 : ?
  20. 20.11 : 6 = 44 : ?
  21. 21.4 : 6 = 16 : ?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  24. 24.Divide ₹255 between Meera and Isha in the ratio 4 : 1. How much does Isha get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.6 : 3 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  28. 28.Divide ₹162 between Meera and Sneha in the ratio 5 : 1. How much does Meera get (in ₹)?
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.4 : 13 = 16 : ?
  31. 31.8 : 3 = 40 : ?
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  36. 36.Divide ₹416 between Rohan and Farhan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  37. 37.Divide ₹255 between Ananya and Tara in the ratio 8 : 9. How much does Tara get (in ₹)?
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?

Answer key

  1. 36
  2. 18
  3. 75
  4. 63
  5. 504
  6. 18
  7. 40
  8. 70
  9. 175
  10. 108
  11. 192
  12. 12
  13. 250
  14. 45
  15. 230
  16. 144
  17. 36
  18. 8
  19. 16
  20. 24
  21. 24
  22. 36
  23. 8
  24. 51
  25. 18
  26. 6
  27. 35
  28. 135
  29. 50
  30. 52
  31. 15
  32. 28
  33. 72
  34. 48
  35. 24
  36. 182
  37. 135
  38. 225
  39. 32
  40. 7

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude