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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 45 · 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.Divide ₹228 between Saanvi and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  2. 2.Divide ₹423 between Ishaan and Manav in the ratio 7 : 2. How much does Ishaan get (in ₹)?
  3. 3.Divide ₹315 between Rohan and Kavya in the ratio 2 : 7. How much does Rohan get (in ₹)?
  4. 4.4 : 7 = 20 : ?
  5. 5.Divide ₹352 between Priya and Ishaan in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  6. 6.6 : 12 = 48 : ?
  7. 7.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  9. 9.Divide ₹154 between Saanvi and Manav in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  10. 10.12 : 11 = 72 : ?
  11. 11.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  12. 12.Divide ₹660 between Aarav and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  14. 14.10 : 14 = 30 : ?
  15. 15.Divide ₹784 between Isha and Sneha in the ratio 5 : 9. How much does Isha get (in ₹)?
  16. 16.12 : 6 = 36 : ?
  17. 17.9 : 10 = 18 : ?
  18. 18.Divide ₹152 between Ananya and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  20. 20.3 : 10 = 21 : ?
  21. 21.Divide ₹324 between Vivaan and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  25. 25.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  26. 26.10 : 12 = 90 : ?
  27. 27.Divide ₹243 between Aarav and Sneha in the ratio 1 : 8. How much does Aarav get (in ₹)?
  28. 28.Divide ₹66 between Saanvi and Dev in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  31. 31.Divide ₹396 between Vivaan and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
  32. 32.Divide ₹168 between Rahul and Tara in the ratio 5 : 7. How much does Tara get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  34. 34.10 : 6 = 40 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  39. 39.Divide ₹330 between Saanvi and Diya in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 190
  2. 329
  3. 70
  4. 35
  5. 160
  6. 96
  7. 30
  8. 63
  9. 70
  10. 66
  11. 63
  12. 300
  13. 56
  14. 42
  15. 280
  16. 18
  17. 20
  18. 133
  19. 18
  20. 70
  21. 270
  22. 96
  23. 32
  24. 18
  25. 80
  26. 108
  27. 27
  28. 30
  29. 125
  30. 40
  31. 308
  32. 98
  33. 32
  34. 24
  35. 56
  36. 20
  37. 64
  38. 20
  39. 210
  40. 81

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