← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 818 · 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 8 and 24 (that is, 8 : 24 = 24 : ?).
  2. 2.Divide ₹209 between Aditya and Rahul in the ratio 5 : 6. How much does Aditya get (in ₹)?
  3. 3.Divide ₹80 between Rohan and Arjun in the ratio 1 : 4. How much does Rohan get (in ₹)?
  4. 4.Divide ₹342 between Manav and Ishaan in the ratio 7 : 2. How much does Ishaan get (in ₹)?
  5. 5.3 : 9 = 12 : ?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.7 : 10 = 28 : ?
  9. 9.Divide ₹264 between Saanvi and Rahul in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  13. 13.6 : 3 = 24 : ?
  14. 14.7 : 3 = 63 : ?
  15. 15.4 : 12 = 36 : ?
  16. 16.6 : 4 = 12 : ?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.Divide ₹780 between Aditya and Sneha in the ratio 8 : 7. How much does Aditya get (in ₹)?
  19. 19.Divide ₹594 between Sneha and Saanvi in the ratio 6 : 5. How much does Sneha get (in ₹)?
  20. 20.Divide ₹320 between Nisha and Diya in the ratio 7 : 9. How much does Nisha get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  22. 22.5 : 9 = 10 : ?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  26. 26.Divide ₹555 between Pooja and Tara in the ratio 8 : 7. How much does Tara get (in ₹)?
  27. 27.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  28. 28.Divide ₹450 between Kavya and Ishaan in the ratio 7 : 2. How much does Ishaan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  30. 30.5 : 11 = 20 : ?
  31. 31.7 : 2 = 21 : ?
  32. 32.7 : 10 = 49 : ?
  33. 33.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  34. 34.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  37. 37.5 : 4 = 20 : ?
  38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  39. 39.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

Answer key

  1. 72
  2. 95
  3. 16
  4. 76
  5. 36
  6. 32
  7. 175
  8. 40
  9. 231
  10. 6
  11. 4
  12. 54
  13. 12
  14. 27
  15. 108
  16. 8
  17. 20
  18. 416
  19. 324
  20. 140
  21. 3
  22. 18
  23. 45
  24. 50
  25. 54
  26. 259
  27. 64
  28. 100
  29. 24
  30. 44
  31. 6
  32. 70
  33. 8
  34. 63
  35. 36
  36. 24
  37. 16
  38. 144
  39. 12
  40. 100

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