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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 16 · 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 ₹470 between Isha and Karan in the ratio 9 : 1. How much does Isha get (in ₹)?
  2. 2.Divide ₹333 between Aarav and Sneha in the ratio 5 : 4. How much does Aarav get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  5. 5.Divide ₹115 between Priya and Kavya in the ratio 3 : 2. How much does Priya get (in ₹)?
  6. 6.9 : 4 = 27 : ?
  7. 7.Divide ₹637 between Aditya and Sneha in the ratio 6 : 7. How much does Aditya get (in ₹)?
  8. 8.4 : 9 = 24 : ?
  9. 9.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  10. 10.2 : 13 = 6 : ?
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  13. 13.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  14. 14.2 : 5 = 4 : ?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  17. 17.Divide ₹256 between Isha and Arjun in the ratio 1 : 7. How much does Isha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  19. 19.Divide ₹605 between Arjun and Karan in the ratio 6 : 5. How much does Karan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  21. 21.7 : 8 = 28 : ?
  22. 22.Divide ₹162 between Rohan and Meera in the ratio 7 : 2. How much does Rohan get (in ₹)?
  23. 23.12 : 2 = 36 : ?
  24. 24.Divide ₹144 between Karan and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
  25. 25.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.Divide ₹208 between Manav and Kabir in the ratio 7 : 9. How much does Manav get (in ₹)?
  30. 30.Divide ₹220 between Zoya and Vivaan in the ratio 3 : 1. How much does Zoya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  33. 33.2 : 14 = 4 : ?
  34. 34.Divide ₹280 between Priya and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
  35. 35.Divide ₹371 between Vivaan and Ishaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  36. 36.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  37. 37.9 : 10 = 81 : ?
  38. 38.Divide ₹55 between Arjun and Farhan in the ratio 3 : 8. How much does Farhan get (in ₹)?
  39. 39.3 : 10 = 12 : ?
  40. 40.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?

Answer key

  1. 423
  2. 185
  3. 18
  4. 56
  5. 69
  6. 12
  7. 294
  8. 54
  9. 9
  10. 39
  11. 96
  12. 225
  13. 200
  14. 10
  15. 36
  16. 128
  17. 32
  18. 20
  19. 275
  20. 64
  21. 32
  22. 126
  23. 6
  24. 96
  25. 8
  26. 125
  27. 5
  28. 48
  29. 91
  30. 165
  31. 28
  32. 20
  33. 28
  34. 120
  35. 212
  36. 32
  37. 90
  38. 40
  39. 40
  40. 42

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