← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 800 · 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. 1.3 : 6 = 12 : ?
  2. 2.Divide ₹455 between Meera and Kabir in the ratio 4 : 9. How much does Meera get (in ₹)?
  3. 3.Divide ₹540 between Zoya and Meera in the ratio 7 : 8. How much does Zoya get (in ₹)?
  4. 4.5 : 6 = 30 : ?
  5. 5.Divide ₹348 between Saanvi and Sneha in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  6. 6.12 : 10 = 24 : ?
  7. 7.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  8. 8.Divide ₹162 between Pooja and Rahul in the ratio 5 : 4. How much does Pooja get (in ₹)?
  9. 9.5 : 9 = 45 : ?
  10. 10.Divide ₹182 between Pooja and Priya in the ratio 6 : 7. How much does Pooja get (in ₹)?
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.6 : 9 = 36 : ?
  13. 13.Divide ₹92 between Aditya and Priya in the ratio 3 : 1. How much does Priya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  15. 15.Divide ₹70 between Tara and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.Divide ₹572 between Zoya and Karan in the ratio 7 : 4. How much does Zoya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  22. 22.Divide ₹54 between Manav and Meera in the ratio 8 : 1. How much does Manav get (in ₹)?
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.Divide ₹550 between Arjun and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  25. 25.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  26. 26.Divide ₹336 between Rohan and Isha in the ratio 1 : 6. How much does Rohan get (in ₹)?
  27. 27.12 : 13 = 84 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.4 : 14 = 32 : ?
  33. 33.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  36. 36.5 : 10 = 45 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  39. 39.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  40. 40.5 : 13 = 10 : ?

Answer key

  1. 24
  2. 140
  3. 252
  4. 36
  5. 58
  6. 20
  7. 6
  8. 90
  9. 81
  10. 84
  11. 96
  12. 54
  13. 23
  14. 24
  15. 50
  16. 12
  17. 364
  18. 48
  19. 9
  20. 27
  21. 90
  22. 48
  23. 144
  24. 250
  25. 225
  26. 48
  27. 91
  28. 30
  29. 6
  30. 25
  31. 28
  32. 112
  33. 100
  34. 32
  35. 40
  36. 90
  37. 32
  38. 6
  39. 36
  40. 26

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