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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 282 · 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. 1.12 : 5 = 72 : ?
  2. 2.Divide ₹160 between Isha and Pooja in the ratio 3 : 2. How much does Pooja get (in ₹)?
  3. 3.4 : 15 = 36 : ?
  4. 4.Divide ₹84 between Nisha and Vivaan in the ratio 5 : 7. How much does Vivaan get (in ₹)?
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.5 : 2 = 20 : ?
  7. 7.Divide ₹969 between Aarav and Tara in the ratio 8 : 9. How much does Aarav get (in ₹)?
  8. 8.4 : 5 = 12 : ?
  9. 9.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  12. 12.11 : 14 = 22 : ?
  13. 13.4 : 11 = 32 : ?
  14. 14.Divide ₹126 between Diya and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  15. 15.2 : 11 = 4 : ?
  16. 16.Divide ₹350 between Nisha and Ishaan in the ratio 5 : 2. How much does Nisha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  19. 19.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  20. 20.5 : 4 = 15 : ?
  21. 21.9 : 3 = 27 : ?
  22. 22.Divide ₹350 between Kavya and Aditya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  23. 23.Divide ₹230 between Rohan and Priya in the ratio 1 : 4. How much does Rohan get (in ₹)?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.9 : 4 = 27 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  27. 27.4 : 7 = 28 : ?
  28. 28.Divide ₹261 between Sneha and Rohan in the ratio 1 : 8. How much does Sneha get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  33. 33.5 : 13 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  36. 36.Divide ₹420 between Kabir and Dev in the ratio 7 : 3. How much does Kabir get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  38. 38.Divide ₹21 between Ananya and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?

Answer key

  1. 30
  2. 64
  3. 135
  4. 49
  5. 64
  6. 8
  7. 456
  8. 15
  9. 45
  10. 50
  11. 56
  12. 28
  13. 88
  14. 18
  15. 22
  16. 250
  17. 10
  18. 48
  19. 45
  20. 12
  21. 9
  22. 150
  23. 46
  24. 16
  25. 12
  26. 16
  27. 49
  28. 29
  29. 45
  30. 144
  31. 10
  32. 50
  33. 52
  34. 9
  35. 54
  36. 294
  37. 64
  38. 7
  39. 16
  40. 70

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