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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 20 · 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. 1.4 : 6 = 32 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Divide ₹104 between Dev and Vivaan in the ratio 3 : 1. How much does Dev get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  6. 6.Divide ₹408 between Farhan and Kabir in the ratio 7 : 5. How much does Kabir get (in ₹)?
  7. 7.Divide ₹220 between Vivaan and Diya in the ratio 2 : 3. How much does Diya get (in ₹)?
  8. 8.2 : 8 = 8 : ?
  9. 9.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  13. 13.Divide ₹323 between Aditya and Manav in the ratio 8 : 9. How much does Aditya get (in ₹)?
  14. 14.Divide ₹342 between Karan and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  15. 15.Divide ₹200 between Rohan and Zoya in the ratio 7 : 1. How much does Zoya get (in ₹)?
  16. 16.2 : 12 = 4 : ?
  17. 17.4 : 2 = 16 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  19. 19.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  20. 20.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  21. 21.Divide ₹495 between Kavya and Ananya in the ratio 2 : 7. How much does Kavya get (in ₹)?
  22. 22.Divide ₹54 between Pooja and Dev in the ratio 7 : 2. How much does Dev get (in ₹)?
  23. 23.2 : 5 = 12 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  25. 25.Divide ₹296 between Diya and Kavya in the ratio 1 : 7. How much does Kavya get (in ₹)?
  26. 26.Divide ₹306 between Farhan and Nisha in the ratio 7 : 2. How much does Farhan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  30. 30.6 : 4 = 18 : ?
  31. 31.5 : 8 = 15 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  33. 33.Divide ₹480 between Sneha and Pooja in the ratio 7 : 8. How much does Sneha get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  37. 37.Divide ₹782 between Isha and Rohan in the ratio 8 : 9. How much does Rohan get (in ₹)?
  38. 38.11 : 5 = 33 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  40. 40.12 : 2 = 84 : ?

Answer key

  1. 48
  2. 56
  3. 32
  4. 78
  5. 32
  6. 170
  7. 132
  8. 32
  9. 16
  10. 20
  11. 96
  12. 27
  13. 152
  14. 57
  15. 25
  16. 24
  17. 8
  18. 30
  19. 125
  20. 144
  21. 110
  22. 12
  23. 30
  24. 32
  25. 259
  26. 238
  27. 18
  28. 28
  29. 45
  30. 12
  31. 24
  32. 18
  33. 224
  34. 8
  35. 16
  36. 32
  37. 414
  38. 15
  39. 8
  40. 14

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