← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 586 · 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. 1.5 : 13 = 40 : ?
  2. 2.Divide ₹112 between Tara and Rahul in the ratio 7 : 9. How much does Tara get (in ₹)?
  3. 3.Divide ₹720 between Ananya and Meera in the ratio 9 : 7. How much does Ananya get (in ₹)?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.3 : 12 = 12 : ?
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  9. 9.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  10. 10.Divide ₹420 between Saanvi and Nisha in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  11. 11.Divide ₹600 between Farhan and Tara in the ratio 7 : 5. How much does Farhan get (in ₹)?
  12. 12.9 : 3 = 72 : ?
  13. 13.7 : 8 = 21 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  16. 16.Divide ₹638 between Manav and Isha in the ratio 5 : 6. How much does Manav get (in ₹)?
  17. 17.10 : 12 = 30 : ?
  18. 18.8 : 13 = 32 : ?
  19. 19.Divide ₹288 between Farhan and Kabir in the ratio 2 : 7. How much does Farhan get (in ₹)?
  20. 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  21. 21.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  22. 22.Divide ₹91 between Kabir and Dev in the ratio 7 : 6. How much does Kabir get (in ₹)?
  23. 23.Divide ₹36 between Nisha and Tara in the ratio 3 : 1. How much does Tara get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  25. 25.Divide ₹80 between Ananya and Karan in the ratio 7 : 9. How much does Karan get (in ₹)?
  26. 26.7 : 15 = 14 : ?
  27. 27.Divide ₹64 between Arjun and Vivaan in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.Divide ₹408 between Aditya and Ishaan in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  30. 30.Divide ₹286 between Saanvi and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  32. 32.Divide ₹240 between Zoya and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  35. 35.Divide ₹185 between Manav and Ananya in the ratio 3 : 2. How much does Manav get (in ₹)?
  36. 36.6 : 3 = 24 : ?
  37. 37.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.12 : 10 = 48 : ?

Answer key

  1. 104
  2. 49
  3. 405
  4. 81
  5. 48
  6. 54
  7. 8
  8. 54
  9. 16
  10. 180
  11. 350
  12. 24
  13. 24
  14. 12
  15. 7
  16. 290
  17. 36
  18. 52
  19. 64
  20. 128
  21. 24
  22. 49
  23. 9
  24. 72
  25. 45
  26. 30
  27. 48
  28. 96
  29. 238
  30. 110
  31. 18
  32. 200
  33. 30
  34. 20
  35. 111
  36. 12
  37. 45
  38. 28
  39. 50
  40. 40

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