← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 435 · 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. 1.9 : 12 = 63 : ?
  2. 2.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  4. 4.Divide ₹121 between Tara and Aarav in the ratio 9 : 2. How much does Tara get (in ₹)?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.8 : 13 = 56 : ?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  13. 13.Divide ₹372 between Isha and Vivaan in the ratio 5 : 7. How much does Vivaan get (in ₹)?
  14. 14.2 : 12 = 18 : ?
  15. 15.9 : 10 = 27 : ?
  16. 16.Divide ₹624 between Kavya and Karan in the ratio 6 : 7. How much does Karan get (in ₹)?
  17. 17.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  20. 20.2 : 11 = 4 : ?
  21. 21.Divide ₹30 between Zoya and Tara in the ratio 2 : 3. How much does Zoya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  23. 23.Divide ₹280 between Aditya and Saanvi in the ratio 5 : 9. How much does Saanvi get (in ₹)?
  24. 24.5 : 9 = 45 : ?
  25. 25.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  26. 26.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  28. 28.7 : 3 = 14 : ?
  29. 29.Divide ₹114 between Aarav and Nisha in the ratio 1 : 5. How much does Aarav get (in ₹)?
  30. 30.Divide ₹273 between Ishaan and Vivaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.11 : 3 = 99 : ?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.4 : 5 = 20 : ?
  37. 37.Divide ₹420 between Manav and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
  38. 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  39. 39.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?

Answer key

  1. 84
  2. 4
  3. 45
  4. 99
  5. 200
  6. 14
  7. 21
  8. 32
  9. 91
  10. 36
  11. 72
  12. 4
  13. 217
  14. 108
  15. 30
  16. 336
  17. 54
  18. 10
  19. 48
  20. 22
  21. 12
  22. 8
  23. 180
  24. 81
  25. 50
  26. 21
  27. 9
  28. 6
  29. 19
  30. 117
  31. 100
  32. 27
  33. 48
  34. 36
  35. 16
  36. 25
  37. 294
  38. 81
  39. 36
  40. 56

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