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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 909 · 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. 1.8 : 15 = 24 : ?
  2. 2.Divide ₹399 between Aarav and Zoya in the ratio 5 : 2. How much does Aarav get (in ₹)?
  3. 3.Divide ₹741 between Rahul and Manav in the ratio 7 : 6. How much does Rahul get (in ₹)?
  4. 4.Divide ₹299 between Vivaan and Rohan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  5. 5.Divide ₹342 between Rahul and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  6. 6.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  8. 8.2 : 14 = 18 : ?
  9. 9.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  10. 10.Divide ₹69 between Rahul and Pooja in the ratio 1 : 2. How much does Rahul get (in ₹)?
  11. 11.2 : 12 = 18 : ?
  12. 12.Divide ₹92 between Diya and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  14. 14.Divide ₹145 between Rahul and Sneha in the ratio 1 : 4. How much does Sneha get (in ₹)?
  15. 15.8 : 2 = 56 : ?
  16. 16.Divide ₹204 between Sneha and Kabir in the ratio 9 : 8. How much does Sneha get (in ₹)?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.Divide ₹539 between Aarav and Kavya in the ratio 7 : 4. How much does Aarav get (in ₹)?
  19. 19.5 : 2 = 15 : ?
  20. 20.9 : 5 = 81 : ?
  21. 21.4 : 2 = 16 : ?
  22. 22.Divide ₹369 between Ishaan and Kabir in the ratio 4 : 5. How much does Kabir get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  24. 24.11 : 5 = 88 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  26. 26.Divide ₹462 between Kavya and Rohan in the ratio 9 : 2. How much does Kavya get (in ₹)?
  27. 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  28. 28.12 : 6 = 48 : ?
  29. 29.Divide ₹364 between Ishaan and Farhan in the ratio 5 : 9. How much does Farhan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  36. 36.Divide ₹255 between Arjun and Aarav in the ratio 2 : 3. How much does Arjun get (in ₹)?
  37. 37.2 : 11 = 14 : ?
  38. 38.Divide ₹63 between Dev and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
  39. 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  40. 40.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).

Answer key

  1. 45
  2. 285
  3. 399
  4. 92
  5. 266
  6. 81
  7. 16
  8. 126
  9. 125
  10. 23
  11. 108
  12. 69
  13. 64
  14. 116
  15. 14
  16. 108
  17. 20
  18. 343
  19. 6
  20. 45
  21. 8
  22. 205
  23. 25
  24. 40
  25. 72
  26. 378
  27. 54
  28. 24
  29. 234
  30. 20
  31. 16
  32. 24
  33. 10
  34. 28
  35. 49
  36. 102
  37. 77
  38. 45
  39. 16
  40. 200

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