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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 264 · 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. 1.10 : 9 = 30 : ?
  2. 2.11 : 13 = 66 : ?
  3. 3.Divide ₹189 between Saanvi and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  4. 4.Divide ₹600 between Manav and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
  5. 5.10 : 4 = 80 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  8. 8.6 : 9 = 12 : ?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.6 : 5 = 48 : ?
  11. 11.Divide ₹273 between Farhan and Aarav in the ratio 6 : 7. How much does Farhan get (in ₹)?
  12. 12.Divide ₹649 between Manav and Ishaan in the ratio 2 : 9. How much does Manav get (in ₹)?
  13. 13.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  16. 16.Divide ₹735 between Zoya and Meera in the ratio 7 : 8. How much does Meera get (in ₹)?
  17. 17.7 : 8 = 28 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  19. 19.Divide ₹30 between Vivaan and Dev in the ratio 5 : 1. How much does Dev get (in ₹)?
  20. 20.Divide ₹612 between Dev and Kabir in the ratio 5 : 7. How much does Kabir get (in ₹)?
  21. 21.Divide ₹162 between Arjun and Zoya in the ratio 5 : 4. How much does Arjun get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  23. 23.9 : 7 = 45 : ?
  24. 24.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  25. 25.8 : 11 = 72 : ?
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.Divide ₹440 between Saanvi and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  32. 32.Divide ₹261 between Manav and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  33. 33.9 : 13 = 36 : ?
  34. 34.10 : 5 = 70 : ?
  35. 35.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  37. 37.12 : 8 = 72 : ?
  38. 38.Divide ₹217 between Saanvi and Kabir in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  39. 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?

Answer key

  1. 27
  2. 78
  3. 42
  4. 280
  5. 32
  6. 27
  7. 36
  8. 18
  9. 8
  10. 40
  11. 126
  12. 118
  13. 175
  14. 50
  15. 18
  16. 392
  17. 32
  18. 48
  19. 5
  20. 357
  21. 90
  22. 8
  23. 35
  24. 32
  25. 99
  26. 100
  27. 132
  28. 21
  29. 36
  30. 3
  31. 48
  32. 58
  33. 52
  34. 35
  35. 24
  36. 21
  37. 48
  38. 124
  39. 16
  40. 4

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