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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 205 · 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.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  2. 2.8 : 15 = 64 : ?
  3. 3.Divide ₹570 between Saanvi and Manav in the ratio 7 : 3. How much does Manav get (in ₹)?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.Divide ₹578 between Isha and Dev in the ratio 9 : 8. How much does Isha get (in ₹)?
  6. 6.Divide ₹396 between Diya and Priya in the ratio 8 : 1. How much does Priya get (in ₹)?
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.Divide ₹459 between Aditya and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  10. 10.Divide ₹385 between Saanvi and Zoya in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  11. 11.7 : 10 = 56 : ?
  12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  15. 15.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  16. 16.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  17. 17.5 : 15 = 30 : ?
  18. 18.Divide ₹132 between Diya and Isha in the ratio 5 : 1. How much does Isha get (in ₹)?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.9 : 12 = 45 : ?
  21. 21.Divide ₹196 between Priya and Nisha in the ratio 9 : 5. How much does Nisha get (in ₹)?
  22. 22.3 : 2 = 9 : ?
  23. 23.2 : 10 = 12 : ?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.Divide ₹295 between Kavya and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  26. 26.Divide ₹504 between Zoya and Rohan in the ratio 9 : 5. How much does Rohan get (in ₹)?
  27. 27.Divide ₹308 between Meera and Vivaan in the ratio 7 : 4. How much does Meera get (in ₹)?
  28. 28.4 : 2 = 16 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  30. 30.Divide ₹352 between Ananya and Kabir in the ratio 3 : 5. How much does Ananya get (in ₹)?
  31. 31.7 : 3 = 63 : ?
  32. 32.Divide ₹272 between Rohan and Sneha in the ratio 7 : 1. How much does Sneha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  34. 34.6 : 8 = 24 : ?
  35. 35.Divide ₹100 between Kavya and Isha in the ratio 3 : 1. How much does Kavya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  37. 37.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  38. 38.Divide ₹78 between Saanvi and Arjun in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  39. 39.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  40. 40.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).

Answer key

  1. 64
  2. 120
  3. 171
  4. 27
  5. 306
  6. 44
  7. 175
  8. 357
  9. 14
  10. 55
  11. 80
  12. 36
  13. 2
  14. 18
  15. 150
  16. 112
  17. 90
  18. 22
  19. 16
  20. 60
  21. 70
  22. 6
  23. 60
  24. 36
  25. 118
  26. 180
  27. 196
  28. 8
  29. 10
  30. 132
  31. 27
  32. 34
  33. 20
  34. 32
  35. 75
  36. 9
  37. 63
  38. 13
  39. 144
  40. 80

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